{"id":5563,"date":"2023-03-03T21:46:48","date_gmt":"2023-03-03T16:16:48","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=5563"},"modified":"2023-03-04T12:29:41","modified_gmt":"2023-03-04T06:59:41","slug":"go-math-grade-6-answer-key-chapter-12-data-displays-and-measures-of-center","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/go-math-grade-6-answer-key-chapter-12-data-displays-and-measures-of-center\/","title":{"rendered":"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center"},"content":{"rendered":"<p>Students who are unable to solve the textbook problems can go through the Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center. Refer to HMH Go Math 6th Grade Solution Key of Chapter 12 Data Displays and Measures of Center to understand the problem-solving methods in depth. <a href=\"https:\/\/ccssanswers.com\/go-math-grade-6-answer-key\/\">Go Math Grade 6 Answer Key<\/a> was explained by the experts in a unique and simple way.<\/p>\n<h3>Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center<\/h3>\n<p>I know it is difficult for parents to explain the homework problems. So, in order to help them, we are providing the solutions for Go Math 6th Grade Answer Key Chapter 12 Data Displays and Measures of Center. Make use of the HMH Go Math Grade Solution Key Pdf and make your child completer their homework in time. Hence Download Grade 6 Go Math Answer Key Chapter 12 Data Displays and Measures of Center.<\/p>\n<p><strong>Lesson 1: Recognize Statistical Questions<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_651\">Share and Show &#8211; Page No. 651<\/a><\/li>\n<li><a href=\"#Problem_Solving_Applications_Page_No_652\">Problem Solving + Applications &#8211; Page No. 652<\/a><\/li>\n<li><a href=\"#Recognize_Statistical_Questions_Page_No_653\">Recognize Statistical Questions &#8211; Page No. 653<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_654\">Lesson Check &#8211; Page No. 654<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2: Describe Data Collection<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_657\">Share and Show &#8211; Page No. 657<\/a><\/li>\n<li><a href=\"#Summarize_Page_No_658\">Summarize &#8211; Page No. 658<\/a><\/li>\n<li><a href=\"#Describe_Data_Collection_Page_No_659\">Describe Data Collection &#8211; Page No. 659<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_660\">Lesson Check &#8211; Page No. 660<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3: Dot Plots and Frequency Tables<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_663\">Share and Show &#8211; Page No. 663<\/a><\/li>\n<li><a href=\"#Unlock_the_Problem_Page_No_664\">Unlock the Problem &#8211; Page No. 664<\/a><\/li>\n<li><a href=\"#Dot_Plots_and_Frequency_Tables_Page_No_665\">Dot Plots and Frequency Tables &#8211; Page No. 665<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_666\">Lesson Check &#8211; Page No. 666<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4: Histograms<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_669\">Share and Show &#8211; Page No. 669<\/a><\/li>\n<li><a href=\"#Problem_Solving_Applications_Page_No_670\">Problem Solving + Applications &#8211; Page No. 670<\/a><\/li>\n<li><a href=\"#Histograms_Page_No_671\">Histograms &#8211; Page No. 671<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_672\">Lesson Check &#8211; Page No. 672<\/a><\/li>\n<\/ul>\n<p><strong>Mid-Chapter Checkpoint<\/strong><\/p>\n<ul>\n<li><a href=\"#Mid_Chapter_Checkpoint_Vocabulary_Page_No_673\">Mid-Chapter Checkpoint &#8211; Vocabulary &#8211; Page No. 673<\/a><\/li>\n<li><a href=\"#Page_No_674\">Page No. 674<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5: Investigate \u2022 Mean as Fair Share and Balance Point<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_677\">Share and Show &#8211; Page No. 677<\/a><\/li>\n<li><a href=\"#Page_No_678\">Page No. 678<\/a><\/li>\n<li><a href=\"#Mean_as_Fair_Share_and_Balance_Point_Page_No_679\">Mean as Fair Share and Balance Point &#8211; Page No. 679<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_680\">Lesson Check &#8211; Page No. 680<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 6: Measures of Center<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_683\">Share and Show &#8211; Page No. 683<\/a><\/li>\n<li><a href=\"#Problem_Solving_Applications_Page_No_684\">Problem Solving + Applications &#8211; Page No. 684<\/a><\/li>\n<li><a href=\"#Measures_of_Center_Page_No_685\">Measures of Center &#8211; Page No. 685<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_686\">Lesson Check &#8211; Page No. 686<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 7: Effects of Outliers<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_689\">Share and Show &#8211; Page No. 689<\/a><\/li>\n<li><a href=\"#Problem_Solving_Applications_Page_No_690\">Problem Solving + Applications &#8211; Page No. 690<\/a><\/li>\n<li><a href=\"#Effects_of_Outliers_Page_No_691\">Effects of Outliers &#8211; Page No. 691<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_692\">Lesson Check &#8211; Page No. 692<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 8: Problem-Solving \u2022 Data Displays<\/strong><\/p>\n<ul>\n<li><a href=\"#Share_and_Show_Page_No_695\">Share and Show &#8211; Page No. 695<\/a><\/li>\n<li><a href=\"#On_Your_Own_Page_No_696\">On Your Own &#8211; Page No. 696<\/a><\/li>\n<li><a href=\"#Problem_Solving_Data_Displays_Page_No_697\">Problem Solving Data Displays &#8211; Page No. 697<\/a><\/li>\n<li><a href=\"#Lesson_Check_Page_No_698\">Lesson Check &#8211; Page No. 698<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 12 Review\/Test<\/strong><\/p>\n<ul>\n<li><a href=\"#Chapter_12_Review_Test_Page_No_699\">Chapter 12 Review\/Test &#8211; Page No. 699<\/a><\/li>\n<li><a href=\"#Page_No_700\">Page No. 700<\/a><\/li>\n<li><a href=\"#Page_No_701\">Page No. 701<\/a><\/li>\n<li><a href=\"#Page_No_702\">Page No. 702<\/a><\/li>\n<li><a href=\"#Page_No_703\">Page No. 703<\/a><\/li>\n<li><a href=\"#Page_No_704\">Page No. 704<\/a><\/li>\n<\/ul>\n<h3><a id=\"Share_and_Show_Page_No_651\"><\/a>Share and Show &#8211; Page No. 651<\/h3>\n<p><strong>Identify the statistical question. Explain your reasoning.<\/strong><\/p>\n<p>Question 1.<br \/>\nA. What was the low temperature in Chicago each day in March?<br \/>\nB. What was the low temperature in Chicago on March 7?<\/p>\n<p>Answer: A is the statistical question.<\/p>\n<p>Explanation: As in A temperature was asked for each day and in B temperature was asked for only one day.<\/p>\n<p>Question 2.<br \/>\nA. How long did it take you to get to school this morning?<br \/>\nB. How long did it take you to get to school each morning this week?<\/p>\n<p>Answer: B is the statistical question.<\/p>\n<p>Explanation: In B it was asked for each morning in a week and in A It was asked for only for this morning.<\/p>\n<p><strong>Write a statistical question you could ask in the situation.<\/strong><\/p>\n<p>Question 3.<br \/>\nA student recorded the number of pets in the households of 50 sixth-graders.<\/p>\n<p>Answer: How many households have one or more pets?<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Identify the statistical question. Explain your reasoning.<\/strong><\/p>\n<p>Question 4.<br \/>\nA. How many gold medals has Finland won at each of the last 10 Winter Olympics?<br \/>\nB. How many gold medals did Finland win at the 2008 Winter Olympics?<\/p>\n<p>Answer: A is the statistical question.<\/p>\n<p>Explanation: A asks about the no.of medals won at 10 different times and in B asks about no.of medals won at 1 time.<\/p>\n<p><strong>Write a statistical question you could ask in the situation.<\/strong><\/p>\n<p>Question 5.<br \/>\nA wildlife biologist measured the length of time that 17 grizzly bears hibernated.<\/p>\n<p>Answer: What was the least amount of time grizzly bears hibernated?<\/p>\n<p>Question 6.<br \/>\nA doctor recorded the birth weights of 48 babies.<\/p>\n<p>Answer: What was the highest birth weight recorded?<\/p>\n<h3><a id=\"Problem_Solving_Applications_Page_No_652\"><\/a>Problem Solving + Applications &#8211; Page No. 652<\/h3>\n<p><strong>Use the table for 7 and 8.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-1.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 1\" width=\"353\" height=\"220\" \/><\/p>\n<p>Question 7.<br \/>\nGive a statistical question that you could ask about the data recorded in the table.<\/p>\n<p>Answer: Which Roller coaster reaches the maximum height?<\/p>\n<p>Question 8.<br \/>\nWhat statistical question could \u201c92 mi\/hr\u201d be the answer to?<\/p>\n<p>Answer: What is the maximum speed of Roller Coasters?<\/p>\n<p>Question 9.<br \/>\nExplain A video game company will make a new game. The manager must choose between a roleplaying game and an action game. He asks his sales staff which of the last 10 released games sold the most copies. Explain why this is a statistical question.<\/p>\n<p>Answer: As the manager asks his sales staff about the last 10 released games and most sold-out copies, so it is a statistical question.<\/p>\n<p>Question 10.<br \/>\nThink of a topic. Record a set of data for the topic. Write a statistical question that you could ask about your data.<\/p>\n<p>Answer: John spend 10 hours to watch TV in each week.<\/p>\n<p>Explanation: What was the time spent by the John to watch TV in each week?<\/p>\n<p>Question 11.<br \/>\nFor numbers 11a\u201311d, choose Yes or No to indicate whether the question is a statistical question.<br \/>\n11a. How many minutes did it take Ethan to complete his homework last night?<br \/>\n11b. How many minutes did it take Madison to complete her homework each night this week?<br \/>\n11c. How many more minutes did Andrew spend on homework on Tuesday than on Thursday?<br \/>\n11d. What was the longest amount of time Abigail spent on homework this week?<br \/>\n11a. ____________<br \/>\n11b. ____________<br \/>\n11c. ____________<br \/>\n11d. ____________<\/p>\n<p>Answer:<br \/>\n11a. No.<\/p>\n<p>Explanation: The question asked only about last night&#8217;s homework, so it is not a statistical question.<\/p>\n<p>11b. Yes<\/p>\n<p>Explanation: As the question was asked for each night in a week, so it is a statistical question.<\/p>\n<p>11c. No<\/p>\n<p>Explanation: The question is about the differences in the duration of homework at a time, so it is not a statistical question.<\/p>\n<p>11d. Yes<\/p>\n<p>Explanation: As the question is on the longest amount of time on homework, so it is a statistical question.<\/p>\n<h3><a id=\"Recognize_Statistical_Questions_Page_No_653\"><\/a>Recognize Statistical Questions &#8211; Page No. 653<\/h3>\n<p><strong>Identify the statistical question. Explain your reasoning.<\/strong><\/p>\n<p>Question 1.<br \/>\nA. How many touchdowns did the quarterback throw during the last game of the season?<br \/>\nB. How many touchdowns did the quarterback throw each game of the season?<\/p>\n<p>Answer: B is the statistical question.<\/p>\n<p>Explanation: In A asks for no.of touchdowns in the last game and in B asks for no.of touchdowns in each game.<\/p>\n<p>Question 2.<br \/>\nA. What was the score in the first frame of a bowling game?<br \/>\nB. What are the scores in 10 frames of a bowling game?<\/p>\n<p>Answer: B is the statistical question.<\/p>\n<p>Explanation: In A, asks for only for the first frame, and in B asks for 10 frames and score in each frame.<\/p>\n<p>Question 3.<br \/>\nA. How many hours of television did you watch each day this week?<br \/>\nB. How many hours of television did you watch on Saturday?<\/p>\n<p>Answer: A is the statistical question.<\/p>\n<p>Explanation: In A, the question was asked for\u00a0no.of hour\u2019s television for each day in a week. And in B the question was asked for only for Saturday.<\/p>\n<p><strong>Write a statistical question you could ask in the situation.<\/strong><\/p>\n<p>Question 4.<br \/>\nA teacher recorded the test scores of her students.<\/p>\n<p>Answer: What was the highest test score recorded?<\/p>\n<p>Question 5.<br \/>\nA car salesman knows how many of each model of a car was sold in a month.<\/p>\n<p>Answer: What was the least sold model of the car?<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 6.<br \/>\nThe city tracked the amount of waste that was recycled from 2000 to 2007. Write a statistical question about the situation.<\/p>\n<p>Answer: What was the amount of waste that was recycled for each year from 2000 to 2007?<\/p>\n<p>Question 7.<br \/>\nThe daily low temperature is recorded for a week. Write a statistical question about the situation.<\/p>\n<p>Answer: What was the daily low temperature recorded each day this week?<\/p>\n<p>Question 8.<br \/>\nWrite three statistical questions that you could use to gather data about your family. Explain why the questions are statistical.<\/p>\n<p>Answer:<br \/>\nWhich family member was oldest?<br \/>\nWhich family member was tallest?<br \/>\nWhich family member has the highest income?<\/p>\n<h3><a id=\"Lesson_Check_Page_No_654\"><\/a>Lesson Check &#8211; Page No. 654<\/h3>\n<p>Question 1.<br \/>\nElise says that the question \u201cDo you have any siblings?\u201d is a statistical question. Mark says that \u201cHow many siblings do you have?\u201d is a statistical question. Who is correct?<\/p>\n<p>Answer: How many siblings do you have? is a statistical question. So Mark is correct.<\/p>\n<p>Question 2.<br \/>\nKate says that \u201cWhat was the lowest amount of precipitation in one month last year?\u201d is a statistical question. Mike says that \u201cWhat is the speed limit?\u201d is a statistical question. Who is correct?<\/p>\n<p>Answer: What was the lowest amount of precipitation in one month last year?. Is a statistical question. So Kate is correct.<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169647\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-654-Q3.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 654 Q3\" width=\"696\" height=\"367\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-654-Q3.png 696w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-654-Q3-300x158.png 300w\" sizes=\"(max-width: 696px) 100vw, 696px\" \/><\/p>\n<p>Question 4.<br \/>\nMikki uses the net shown to make a solid figure.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-2.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 2\" width=\"261\" height=\"223\" \/><br \/>\nWhat solid figure does Mikki make?<\/p>\n<p>Answer: Triangular pyramid.<\/p>\n<p>Explanation: Mikki makes a Triangular pyramid.<\/p>\n<p>Question 5.<br \/>\nA prism is filled with 30 cubes with \\(\\frac{1}{2}\\)-unit side lengths. What is the volume of the prism in cubic units?<br \/>\n_______ \\(\\frac{\u25a1}{\u25a1}\\) cubic units.<\/p>\n<p>Answer: 3.75 cubic units.<\/p>\n<p>Explanation: As it takes 8 cubes with a side length of \u00bd to form a unit cube, so the volume of the cube is 308= 3.75 cubic units.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169648\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-654-Q6.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 654 Q6\" width=\"690\" height=\"426\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-654-Q6.png 690w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-654-Q6-300x185.png 300w\" sizes=\"(max-width: 690px) 100vw, 690px\" \/><\/p>\n<h3><a id=\"Share_and_Show_Page_No_657\"><\/a>Share and Show &#8211; Page No. 657<\/h3>\n<p><strong>Describe the data set by listing the attribute measured, the unit of measure, the likely means of measurement, and the number of observations.<\/strong><\/p>\n<p>Question 1.<br \/>\nGreg\u2019s 100-meter race results.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-3.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 3\" width=\"279\" height=\"189\" \/><\/p>\n<p>Answer:<br \/>\nThe attribute is the Duration of run data.<br \/>\nThe unit of measure is Seconds.<br \/>\nThe likely means of measurement was taken on Stopwatch.<br \/>\nNo.of observations are 7.<\/p>\n<p>Question 2.<br \/>\nThe Andrews family\u2019s water use.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-4.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 4\" width=\"264\" height=\"129\" \/><\/p>\n<p>Answer:<br \/>\nThe attribute is the amount of water used daily.<br \/>\nThe unit of measure is Gallons.<br \/>\nThe likely means of measurement was taken on Water meter.<br \/>\nNo.of observations are 14.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p>Question 3.<br \/>\nPractice: Copy and Solve Collect data on one of the topics listed below. You may wish to work with other students. Make a chart of your results. Then describe the data set.<\/p>\n<ul>\n<li>Weights of cereal boxes, soup cans, or other items<\/li>\n<li>Numbers of family members<\/li>\n<li>Lengths of time to multiply two 2-digit numbers<\/li>\n<li>Numbers of pets in families<\/li>\n<li>Lengths of forearm (elbow to fingertip)<\/li>\n<li>Numbers of pages in books<\/li>\n<\/ul>\n<p>Answer:<br \/>\nThe attribute is the Number of pages in books.<br \/>\nThe unit of measure is Numbers.<br \/>\nThe likely means of measurement were counting.<br \/>\nNo.of observations are 6.<\/p>\n<p>Question 4.<br \/>\nDescribe the data set by writing the attribute measured, the unit of measure, the likely means of measurement, and the number of observations in the correct location on the chart.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-5.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 5\" width=\"369\" height=\"127\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-6.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 6\" width=\"711\" height=\"180\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7164\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Screenshot-171-300x103.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"553\" height=\"190\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Screenshot-171-300x103.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Screenshot-171.png 544w\" sizes=\"(max-width: 553px) 100vw, 553px\" \/><\/p>\n<h3><a id=\"Summarize_Page_No_658\"><\/a>Summarize &#8211; Page No. 658<\/h3>\n<p>When you summarize a reading passage, you restate the most important information in a shortened form. This allows you to understand more easily what you have read. Read the following passage:<\/p>\n<p>A biologist is studying green anacondas. The green anaconda is the largest snake in the world. Finding the length of any snake is difficult because the snake can curl up or stretch out while being measured. Finding the length of a green anaconda is doubly difficult because of the animal\u2019s great size and strength.<\/p>\n<p>The standard method for measuring a green anaconda is to calm the snake, lay a piece of string along its entire length, and then measure the length of the string. The table at the right gives data collected by the biologist using the string method.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-7.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 7\" width=\"215\" height=\"181\" \/><\/p>\n<p>Question 5.<br \/>\nAnalyze Summarize the passage in your own words<\/p>\n<p>Answer: The world\u2019s largest snake in the world is green anacondas. Finding the length of these green anacondas is very difficult because of the animal\u2019s great size and strength. So there is a standard method for measuring. Firstly calm the snake, then lay a piece of string along its entire length, and then measure the length of the string.<\/p>\n<p>Question 6.<br \/>\nUse your summary to name the attribute the biologist was measuring. Describe how the biologist measured this attribute.<\/p>\n<p>Answer:<br \/>\nThe attribute biologist was measuring green anacondas. And the biologist measured by laying a piece of string along its entire length, and then measuring the length of the string.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169650\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-658-Q7.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 658 Q7\" width=\"647\" height=\"201\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-658-Q7.png 647w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-658-Q7-300x93.png 300w\" sizes=\"(max-width: 647px) 100vw, 647px\" \/><\/p>\n<p>Question 8.<br \/>\nWrite the greatest green anaconda length that the biologist measured in feet. Round your answer to the nearest foot. (Hint: 1 foot is equal to about 30 centimeters.)<\/p>\n<p>Answer: 507.5 cm, 17 feet<\/p>\n<p>Explanation: The greatest green anaconda length that the biologist measured was 507.5 cm. As 1 foot= 30 cm, so 507.5\u00f730= 16.9 feet round off to 17 feet.<\/p>\n<h3><a id=\"Describe_Data_Collection_Page_No_659\"><\/a>Describe Data Collection &#8211; Page No. 659<\/h3>\n<p><strong>Describe the data set by listing the attribute measured, the unit of measure, the likely means of measurement, and the number of observations.<\/strong><\/p>\n<p>Question 1.<br \/>\nDaily temperature<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-8.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 8\" width=\"417\" height=\"170\" \/><\/p>\n<p>Answer:<br \/>\nThe attribute is Daily Temperature.<br \/>\nThe unit of measure is Fahrenheit.<br \/>\nThe likely means of measurement is Thermometer<br \/>\nNo.of observations are 25.<\/p>\n<p>Question 2.<br \/>\nPlant heights<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-9.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 9\" width=\"414\" height=\"89\" \/><\/p>\n<p>Answer:<br \/>\nThe attribute is the Height of plants<br \/>\nThe unit of measure in inches.<br \/>\nThe likely means of measurement is the Ruler.<br \/>\nNo.of observations are 10.<\/p>\n<p>Question 3.<br \/>\nCereal in boxes<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-10.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 10\" width=\"417\" height=\"87\" \/><\/p>\n<p>Answer:<br \/>\nThe attribute is the Amount of Cereal in Boxes<br \/>\nThe unit of measure is Cup.<br \/>\nThe likely means of measurement is measuring cup<br \/>\nNo.of observations are 16.<\/p>\n<p>Question 4.<br \/>\nDog weights<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-11.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 11\" width=\"415\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\nThe attribute is Dog weights.<br \/>\nThe unit of measure is Pounds.<br \/>\nThe likely means of measurement is scale.<br \/>\nNo.of observations are 8.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 5.<br \/>\nThe table below gives the amount of time Preston spends on homework. Name the likely means of measurement.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-12.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 12\" width=\"417\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\nThe likely means of measurement is Clock.<\/p>\n<p>Question 6.<br \/>\nThe table below shows the speed of cars on a highway. Name the unit of measure.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-13.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 13\" width=\"415\" height=\"88\" \/><\/p>\n<p>Answer: The unit of measure is miles per hour.<\/p>\n<p>Question 7.<br \/>\nGather data about the heights of your family members or friends. Then describe how you collected the data set.<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7165\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/2-300x120.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"393\" height=\"157\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/2-300x120.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/2.png 396w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/p>\n<h3><a id=\"Lesson_Check_Page_No_660\"><\/a>Lesson Check &#8211; Page No. 660<\/h3>\n<p>Question 1.<br \/>\nWhat is the attribute of the data set shown in the table?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-14.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 14\" width=\"407\" height=\"86\" \/><\/p>\n<p>Answer: The attribute is the Mass of produce.<\/p>\n<p>Question 2.<br \/>\nWhat is the number of observations of the data set shown below?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-15.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 15\" width=\"407\" height=\"89\" \/><\/p>\n<p>Answer:<br \/>\nNo.of observation: 6<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nWhat is the area of the figure shown below?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-16.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 16\" width=\"126\" height=\"194\" \/><br \/>\n_______ cm<sup>2<\/sup><\/p>\n<p>Answer: 23 cm<sup>2<\/sup><\/p>\n<p>Explanation:<br \/>\nArea of the rectangle= Length\u00d7width<br \/>\n= 7\u00d74.5<br \/>\n= 31.5 cm<sup>2<\/sup><br \/>\nArea of trapezoid= 1\/2 \u00d7(b1+b2)\u00d7h<br \/>\n= 1\/2 \u00d7(7+4.5)\u00d74<br \/>\n= 11.5\u00d72<br \/>\n= 23 cm<sup>2<\/sup><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169651\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-660-Q4.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 660 Q4\" width=\"681\" height=\"342\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-660-Q4.png 681w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-660-Q4-300x151.png 300w\" sizes=\"(max-width: 681px) 100vw, 681px\" \/><\/p>\n<p>Question 5.<br \/>\nHow much sand can this container hold?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-17.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 17\" width=\"126\" height=\"162\" \/><br \/>\n_______ in.<sup>3<\/sup><\/p>\n<p>Answer: 225 in.<sup>3<\/sup><\/p>\n<p>Explanation:<br \/>\nVolume= Length\u00d7width\u00d7Height<br \/>\n= 5\u00d710\u00d74 1\/2<br \/>\n= 5 \u00d7 10 \u00d7 5\/2<br \/>\n= 5\u00d75\u00d79<br \/>\n= 225 in.<sup>3<\/sup><\/p>\n<p>Question 6.<br \/>\nJay says that \u201cHow much does Rover weigh today?\u201d is a statistical question. Kim says that \u201cHow long are the puppies&#8217; tails in the pet store?\u201d is a statistical question. Who is NOT correct?<\/p>\n<p>Answer: \u201cHow much does Rover weigh today?\u201d is not correct as it is not a statistical question.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_663\"><\/a>Share and Show &#8211; Page No. 663<\/h3>\n<p><strong>For 1\u22124, use the data at right.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-18.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 18\" width=\"266\" height=\"201\" \/><\/p>\n<p>Question 1.<br \/>\nComplete the dot plot.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-19.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 19\" width=\"344\" height=\"88\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-7168\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/3-300x217.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"300\" height=\"217\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/3-300x217.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/3.png 453w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nWhat was the most common distance Lionel biked? How do you know?<\/p>\n<p>Answer: The most common distance Lionel biked is 6 km.<\/p>\n<p>Question 3.<br \/>\nMake a frequency table. Use the intervals 1\u22123 km, 4\u22126 km, 7\u22129 km, and 10\u221212 km.<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7169\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/4-300x179.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"426\" height=\"255\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/4-300x179.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/4.png 454w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><\/p>\n<p>Question 4.<br \/>\nMake a relative frequency table. Use the same intervals as in Exercise 3.<\/p>\n<p>Answer:<br \/>\nAs there are 25 data values, so<br \/>\n1-3 km 8\u00f725= 0.32= 32% relative frequency.<br \/>\n4-6 km 9\u00f725= 0.36= 36% relative frequency.<br \/>\n7-9 km 4\u00f725= 0.16= 16% relative frequency.<br \/>\n10-12 km 4\u00f725= 0.16= 16% relative frequency.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-7170\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/5-300x214.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"300\" height=\"214\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/5-300x214.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/5.png 414w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Practice: Copy and Solve For 5\u22129, use the table.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-20.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 20\" width=\"328\" height=\"199\" \/><\/p>\n<p>Question 5.<br \/>\nMake a dot plot of the data.<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-7171\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/6-300x223.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"300\" height=\"223\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/6-300x223.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/6.png 447w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\nMake a frequency table of the data with three intervals.<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-7172\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/7.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"277\" height=\"257\" \/><\/p>\n<p>Question 7.<br \/>\nMake a relative frequency table of the data with three intervals.<\/p>\n<p>Answer:<br \/>\nAs there are 25 data values, so<br \/>\n3-7\u00a0 \u00a0 3\u00f725= 0.12= 12% relative frequency.<br \/>\n8-12\u00a0 7\u00f725= 0.28= 28% relative frequency.<br \/>\n13-17 15\u00f725= 0.6= 60% relative frequency.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-7175\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/8-300x209.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"300\" height=\"209\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/8-300x209.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/8.png 384w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 8.<br \/>\nDescribe how you decided on the intervals for the frequency table.<\/p>\n<p>Answer: As we found 3 intervals of equal size that cover the full range of data values.<\/p>\n<p>Question 9.<br \/>\nCould someone use the information in the frequency table to make a dot plot? Explain.<\/p>\n<p>Answer: No. Because the data is grouped in intervals, but a dot plot requires individual data values.<\/p>\n<h3><a id=\"Unlock_the_Problem_Page_No_664\"><\/a>Unlock the Problem &#8211; Page No. 664<\/h3>\n<p>Question 10.<br \/>\nThe manager of a fitness center asked members to rate the fitness center. The results of the survey are shown in the frequency table. What percent of members in the survey rated the center as excellent or good?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-21.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 21\" width=\"228\" height=\"170\" \/><br \/>\na. What do you need to find?<\/p>\n<p>Answer: We need to find what percent of members in the survey rated the center as excellent or good.<\/p>\n<p>Question 10.<br \/>\nb. How can you use relative frequency to help you solve the problem?<\/p>\n<p>Answer: We can solve by adding the relative frequencies of excellent and good responses.<\/p>\n<p>Question 10.<br \/>\nc. Show the steps you use to solve the problem.<\/p>\n<p>Answer: 30%, 25%.<\/p>\n<p>Explanation:<br \/>\nThe total no.of responses are 18+15+21+6= 60. So the percent for excellent and good responses are<br \/>\n18\u00f760= 0.3= 30%<br \/>\n15\u00f760= 0.25= 25%<\/p>\n<p>Question 10.<br \/>\nd. Complete the sentences.<\/p>\n<p>Answer:<br \/>\nThe percent of members who were rated excellent is 30%<br \/>\nThe percent of members who were rated good is 25%<br \/>\nSo total members rated excellent and good are 30%+25%= 55%<\/p>\n<p>Question 11.<br \/>\nUse the table above. What is the difference in percent of the members in the survey that rated the fitness center as poor versus excellent?<br \/>\n_________ %<\/p>\n<p>Answer: 20%.<\/p>\n<p>Explanation: The percents for poor responses are 6\u00f760= 0.1= 10%, so the difference in the percent of the members in the survey that rated the fitness center as poor versus excellent is 30%-10%= 20%.<\/p>\n<p>Question 12.<br \/>\nJulie kept a record of the number of minutes she spent reading for 20 days. Complete the frequency table by finding the frequency and the relative frequency (%).<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-22.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 22\" width=\"602\" height=\"146\" \/><\/p>\n<p>Answer:<br \/>\nAs there are 20 data values, so<br \/>\n30 mins 8\u00f720= 0.4= 40% relative frequency.<br \/>\n45 mins 4\u00f720= 0.2= 20% relative frequency.<br \/>\n60 mins 3\u00f720= 0.15= 15% relative frequency.<\/p>\n<h3><a id=\"Dot_Plots_and_Frequency_Tables_Page_No_665\"><\/a>Dot Plots and Frequency Tables &#8211; Page No. 665<\/h3>\n<p><strong>For 1\u20134, use the chart.<\/strong><\/p>\n<p>Question 1.<br \/>\nThe chart shows the number of pages of a novel that Julia reads each day. Complete the dot plot using the data in the table.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-23.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 23\" width=\"373\" height=\"142\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-24.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 24\" width=\"284\" height=\"156\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-7180\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/9-300x226.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"300\" height=\"226\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/9-300x226.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/9.png 451w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nWhat number of pages does Julia read most often? Explain.<\/p>\n<p>Answer: Julia reads most often 15 pages because we can see in the dot plot as 15 was the highest.<\/p>\n<p>Question 3.<br \/>\nMake a frequency table in the space below. Use the intervals 10\u201313, 14\u201317, and 18\u201321.<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-7189\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/10.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"265\" height=\"247\" \/><\/p>\n<p>Question 4.<br \/>\nMake a relative frequency table in the space below.<\/p>\n<p>Answer:<br \/>\nAs there are 20 data values, so<br \/>\n10-13\u00a0 7\u00f720= 0.35= 35% relative frequency.<br \/>\n14-17\u00a0 9\u00f720= 0.45= 45% relative frequency.<br \/>\n18-21\u00a0 4\u00f720= 0.2=\u00a0 20% relative frequency.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-7190\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/11-300x195.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"300\" height=\"195\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/11-300x195.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/11.png 393w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 5.<br \/>\nThe frequency table shows the ages of the actors in a youth theater group. What percent of the actors are 10 to 12 years old?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-25.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 25\" width=\"302\" height=\"143\" \/><br \/>\n_______ %<\/p>\n<p>Answer: 55%<\/p>\n<p>Explanation:<br \/>\nAs there are 8+22+10= 40 data values, so the percent of the actors are 10 to 12 years old is<br \/>\n22\u00f740= 0.55= 55%.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169652\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-665-Q6.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 665 Q6\" width=\"636\" height=\"246\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-665-Q6.png 636w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-665-Q6-300x116.png 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/><\/p>\n<h3><a id=\"Lesson_Check_Page_No_666\"><\/a>Lesson Check &#8211; Page No. 666<\/h3>\n<p>Question 1.<br \/>\nThe dot plot shows the number of hours Mai babysat each week. How many hours is Mai most likely to babysit?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-26.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 26\" width=\"319\" height=\"170\" \/><br \/>\n_______ hours<\/p>\n<p>Answer: Mai is most likely to babysit for 9 hours.<\/p>\n<p>Explanation: As we can see dot plot with the highest dots is 9 hours. So Mai is most likely to babysit for 9 hours.<\/p>\n<p>Question 2.<br \/>\nThe frequency table shows the ratings that a movie received from online reviewers. What percent of the reviewers gave the movie a 4-star rating?<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7369\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Screenshot-211.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"338\" height=\"227\" \/><br \/>\n_______ %<\/p>\n<p>Answer: 30%.<\/p>\n<p>Explanation: The percent of reviewers gave the movie a 4-star rating are 6\/20<br \/>\n= 0.30<br \/>\n= 30%<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169653\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q3.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 666 Q3\" width=\"675\" height=\"358\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q3.png 675w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q3-300x159.png 300w\" sizes=\"(max-width: 675px) 100vw, 675px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169654\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q4.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 666 Q4\" width=\"717\" height=\"386\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q4.png 717w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q4-300x162.png 300w\" sizes=\"(max-width: 717px) 100vw, 717px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169655\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q5.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 666 Q5\" width=\"668\" height=\"367\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q5.png 668w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-666-Q5-300x165.png 300w\" sizes=\"(max-width: 668px) 100vw, 668px\" \/><\/p>\n<p>Question 6.<br \/>\nFor a science experiment, Juanita records the height of a plant every day in centimeters. What is the attribute measured in her experiment?<\/p>\n<p>Answer: The attribute measured in her experiment was height.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_669\"><\/a>Share and Show &#8211; Page No. 669<\/h3>\n<p><strong>For 1\u20134, use the data at right.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-27.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 27\" width=\"330\" height=\"133\" \/><\/p>\n<p>Question 1.<br \/>\nComplete the frequency table for the age data in the table at right.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-28.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 28\" width=\"343\" height=\"96\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-medium wp-image-7191\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/12-300x149.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"300\" height=\"149\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/12-300x149.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/12.png 322w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nComplete the histogram for the data.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-29.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 29\" width=\"421\" height=\"324\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7333\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Screenshot-201-e1600076912668-300x195.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"455\" height=\"297\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Screenshot-201-e1600076912668-300x195.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Screenshot-201-e1600076912668.png 542w\" sizes=\"(max-width: 455px) 100vw, 455px\" \/><\/p>\n<p>Question 3.<br \/>\nUse your histogram to find the number of people at the health club who are 30 or older.<br \/>\n_______ people<\/p>\n<p>Answer: 7 people.<\/p>\n<p>Explanation: The people from 30-39 are 5 and from 40-49 are 2 people.<\/p>\n<p>Question 4.<br \/>\nUse your histogram to determine the percentage of the people at the health club who are 20\u201329 years old.<br \/>\n_______ %<\/p>\n<p>Answer: 40%.<\/p>\n<p>Explanation: The data value is 2+6+5+2= 15, so the percent of the people at the health club who are 20\u201329 years old are<br \/>\n6\u00f715= 0.4= 40%.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p><strong>Practice: Copy and Solve For 5\u20137, use the table.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-30.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 30\" width=\"328\" height=\"167\" \/><\/p>\n<p>Question 5.<br \/>\nMake a histogram of the data using the intervals 10\u201319, 20\u201329, and 30\u201339.<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7215\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/14-300x190.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"537\" height=\"340\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/14-300x190.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/14.png 592w\" sizes=\"(max-width: 537px) 100vw, 537px\" \/><\/p>\n<p>Question 6.<br \/>\nMake a histogram of the data using the intervals 10\u201314, 15\u201319, 20\u201324, 25\u201329, 30\u201334, and 35\u201339.<\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7216\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/15-300x194.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"540\" height=\"348\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/15-300x194.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/15.png 575w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><\/p>\n<p>Question 7.<br \/>\nCompare Explain how using different intervals changed the appearance of your histogram.<\/p>\n<p>Answer: In the histogram, smaller intervals shows that most of the data are clustered between 15 and 24. And larger intervals show that the data is evenly spread out.<\/p>\n<h3><a id=\"Problem_Solving_Applications_Page_No_670\"><\/a>Problem Solving + Applications &#8211; Page No. 670<\/h3>\n<p><strong>The histogram shows the hourly salaries, to the nearest dollar, of the employees at a small company. Use the histogram to solve 8\u201311.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-31.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 31\" width=\"403\" height=\"381\" \/><\/p>\n<p>Question 8.<br \/>\nHow many employees make less than $20 per hour?<br \/>\n_______ employees<\/p>\n<p>Answer: 7 employees.<\/p>\n<p>Explanation: 7 employees make less than $20 per hour.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169656\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-670-Q9.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 670 Q9\" width=\"675\" height=\"251\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-670-Q9.png 675w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-670-Q9-300x112.png 300w\" sizes=\"(max-width: 675px) 100vw, 675px\" \/><\/p>\n<p>Question 10.<br \/>\nPose a Problem Write and solve a new problem that uses the histogram.<\/p>\n<p>Answer: How many employees make more than $40 per hour?<\/p>\n<p>Explanation: 3 employees.<\/p>\n<p>Question 11.<br \/>\nAnalyze Describe the overall shape of the histogram. What does this tell you about the salaries at the company?<\/p>\n<p>Answer: The histogram shows that the employees are high at the interval of $25-$29 and it tells us that there is the same number of employees with salaries less than $25 as there are with salaries greater than $29.<\/p>\n<p>Question 12.<br \/>\nThe frequency table shows the TV ratings for the show American Singer. Complete the histogram for the data.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-32.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 32\" width=\"167\" height=\"195\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-33.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 33\" width=\"467\" height=\"253\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7220\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/16-300x195.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"523\" height=\"342\" \/><\/p>\n<h3><a id=\"Histograms_Page_No_671\"><\/a>Histograms &#8211; Page No. 671<\/h3>\n<p><strong>For 1\u20134 use the data at right.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-34.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 34\" width=\"393\" height=\"87\" \/><\/p>\n<p>Question 1.<br \/>\nComplete the histogram for the data.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-35.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 35\" width=\"354\" height=\"380\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7222\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/17-300x196.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"549\" height=\"358\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/17-300x196.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/17.png 578w\" sizes=\"(max-width: 549px) 100vw, 549px\" \/><\/p>\n<p>Question 2.<br \/>\nWhat do the numbers on the y-axis represent?<\/p>\n<p>Answer: The numbers on the y-axis represent the number of students.<\/p>\n<p>Question 3.<br \/>\nHow many students scored from 60 to 69?<br \/>\n_______ students<\/p>\n<p>Answer: 3 students scored 60 to 69<\/p>\n<p>Question 4.<br \/>\nUse your histogram to find the number of students who got a score of 80 or greater. Explain.<br \/>\n_______ students<\/p>\n<p>Answer: 12 students.<\/p>\n<p>Explanation: Students who scored 80-89 are 8 students and students who scored 90-99 are 4 students. So total students are<br \/>\n8+4= 12 students.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p><strong>For 5\u20136, use the histogram.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-36.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 36\" width=\"425\" height=\"311\" \/><\/p>\n<p>Question 5.<br \/>\nFor which two age groups are there the same number of customers?<\/p>\n<p>Answer: The same number of customers is 10-19 and 50-59.<\/p>\n<p>Question 6.<br \/>\nHow many customers are in the restaurant? How do you know?<br \/>\n_______ customers<\/p>\n<p>Answer: 63 customers<\/p>\n<p>Explanation: Total number of customers are 6+9+13+11+15+9= 63 customers. By adding all frequencies we can get a number of customers.<\/p>\n<p>Question 7.<br \/>\nWrite a letter to another student that explains how to make a histogram and what type of data a histogram displays.<\/p>\n<p>Answer: A histogram represents a bar graph with a vertical axis and a horizontal axis. The histogram displays the vertical axis with frequencies and the horizontal axis with a certain amount of intervals. We must place the intervals from lower to higher, and the height of each bar should be equal to the frequency of its corresponding intervals.<\/p>\n<h3><a id=\"Lesson_Check_Page_No_672\"><\/a>Lesson Check &#8211; Page No. 672<\/h3>\n<p>Question 1.<br \/>\nThe histogram shows the amount, to the nearest dollar, that customers spent at a museum gift shop. How many customers spent less than $20?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-37.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 37\" width=\"331\" height=\"323\" \/><br \/>\n_______ customers<\/p>\n<p>Answer: 14 customers.<\/p>\n<p>Explanation: The number of customers who spent less than $20 is 8+6=14 customers.<\/p>\n<p>Question 2.<br \/>\nUse the histogram in Problem 1. How many customers bought something at the gift shop?<br \/>\n_______ customers<\/p>\n<p>Answer: 27 customers.<\/p>\n<p>Explanation: The number of customers who bought something at the gift shop is 8+6+7+4+2= 27 customers.<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nMarguerite drew a rectangle with vertices A(\u22122, \u22121), B(\u22122, \u22124), and C(1, \u22124). What are the coordinates of the fourth vertex?<\/p>\n<p>Answer: As Marguerite draw a rectangle, so the fourth vertex is D(1,-1)<\/p>\n<p>Explanation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7226\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/18-300x194.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"531\" height=\"343\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/18-300x194.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/18.png 656w\" sizes=\"(max-width: 531px) 100vw, 531px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169657\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-672-Q4.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 672 Q4\" width=\"662\" height=\"392\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-672-Q4.png 662w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-672-Q4-300x178.png 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/p>\n<p>Question 5.<br \/>\nDeShawn is using this frequency table to make a relative frequency table. What percent should he write in the Relative Frequency column for 5 to 9 push-ups?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-38.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 38\" width=\"311\" height=\"174\" \/><br \/>\n_______ %<\/p>\n<p>Answer: 35%<\/p>\n<p>Explanation: Data Values are 3+7+8+2= 20<\/p>\n<p>As there are 3+7+8+2= 20 data values, so<br \/>\n5-9\u00a0 7\u00f720= 0.35= 35% relative frequency.<\/p>\n<h3><a id=\"Mid_Chapter_Checkpoint_Vocabulary_Page_No_673\"><\/a>Mid-Chapter Checkpoint &#8211; Vocabulary &#8211; Page No. 673<\/h3>\n<p><strong>Choose the best term from the box to complete the sentence.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-39.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 39\" width=\"271\" height=\"199\" \/><\/p>\n<p>Question 1.<br \/>\nA _____ is a kind of bar graph that shows the frequency of data grouped into intervals.<\/p>\n<p>Answer: A histogram is a kind of bar graph that shows the frequency of data grouped into intervals.<\/p>\n<p>Question 2.<br \/>\nA question that asks about a set of data that varies is called a _____.<\/p>\n<p>Answer: A question that asks about a set of data that varies is called a statistical question.<\/p>\n<p><strong>Concepts and Skills<\/strong><\/p>\n<p>Question 3.<br \/>\nA sports reporter records the number of touchdowns scored each week during the football season. What statistical question could the reporter ask about the data?<\/p>\n<p>Answer: What was the greatest number of touchdowns scored in one week?<\/p>\n<p>Question 4.<br \/>\nFlora records her pet hamster\u2019s weight once every week for one year. How many observations does she make?<br \/>\n_______ observations<\/p>\n<p>Answer: 52 observations.<\/p>\n<p>Explanation: As there are 52 weeks in a year, so Flora makes 52 observations.<\/p>\n<p>Question 5.<br \/>\nThe number of runs scored by a baseball team in 20 games is given below. Draw a dot plot of the data and use it to find the most common number of runs scored in a game.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-40.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 40\" width=\"421\" height=\"87\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7238\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/19-300x224.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"475\" height=\"355\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/19-300x224.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/19.png 464w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/><\/p>\n<h3><a id=\"Page_No_674\"><\/a>Page No. 674<\/h3>\n<p>Question 6.<br \/>\nWrite a statistical question you could ask about a set of data that shows the times visitors arrived at an amusement park.<\/p>\n<p>Answer: How many visitors arrived at an amusement park each hour?<\/p>\n<p>Question 7.<br \/>\nA school principal is trying to decide how long the breaks should be between periods. He plans to time how long it takes several students to get from one classroom to another. Name a tool he could use to collect the data.<\/p>\n<p>Answer: He could use it to collect the data by stopwatch.<\/p>\n<p>Question 8.<br \/>\nThe U.S. Mint uses very strict standards when making coins. On a tour of the mint, Casey asks, \u201cHow much copper is in each penny?\u201d Lenny asks, \u201cWhat is the value of a nickel?\u201d Who asked a statistical question?<\/p>\n<p>Answer: Casey asked a statistical question.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169658\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-674-Q9.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 674 Q9\" width=\"679\" height=\"246\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-674-Q9.png 679w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-674-Q9-300x109.png 300w\" sizes=\"(max-width: 679px) 100vw, 679px\" \/><\/p>\n<p>Question 10.<br \/>\nThe table shows the lengths of the songs played by a radio station during a 90-minute period. Alicia is making a histogram of the data. What frequency should she show for the interval 160\u2013169 seconds?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-41.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 41\" width=\"296\" height=\"143\" \/><\/p>\n<p>Answer: 5.<\/p>\n<p>Explanation: As there are 5 values between 160-169, so Alicia makes a frequency of 5 for the interval 160-169 seconds.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_677\"><\/a>Share and Show &#8211; Page No. 677<\/h3>\n<p><strong>Use counters to find the mean of the data set.<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169659\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-677-Q1.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 677 Q1\" width=\"666\" height=\"361\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-677-Q1.png 666w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-677-Q1-300x163.png 300w\" sizes=\"(max-width: 666px) 100vw, 666px\" \/><\/p>\n<p><strong>Make a dot plot for the data set and use it to check whether the given value is a balance point for the data set.<\/strong><\/p>\n<p>Question 2.<br \/>\nRosanna\u2019s friends have 0, 1, 1, 2, 2, and 12 pets at home. Rosanna says the mean of the data is 3. Is Rosanna correct?<\/p>\n<p>Answer:<\/p>\n<p>Explanation: Yes, Rosanna is correct. As the mean is<br \/>\n= \\(\\frac{0+1+1+2+2+12}{6}\\)<br \/>\n= \\(\\frac{18}{6}\\)<br \/>\n= 3<br \/>\nSo Rosanna is correct.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7272\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/20-300x239.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"497\" height=\"396\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/20-300x239.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/20.png 451w\" sizes=\"(max-width: 497px) 100vw, 497px\" \/><\/p>\n<p><strong>Problem Solving + Applications<\/strong><\/p>\n<p>Question 3.<br \/>\nFour people go to lunch, and the costs of their orders are $6, $9, $10, and $11. They want to split the bill evenly. Find each person\u2019s fair share. Explain your work.<br \/>\nEach person&#8217;s fair share is $ _______ .<\/p>\n<p>Answer: $9.<\/p>\n<p>Explanation: Each person&#8217;s fair share is<br \/>\n= \\(\\frac{ $6+$9+$10+$11}{4}<br \/>\n=\\frac{$36}{4}\\)<br \/>\n= $9.<\/p>\n<h3><a id=\"Page_No_678\"><\/a>Page No. 678<\/h3>\n<p><strong>Use the table for 4\u20136.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-42.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 42\" width=\"258\" height=\"137\" \/><\/p>\n<p>Question 4.<br \/>\nA grocer is preparing fruit baskets to sell as holiday presents. If the grocer rearranges the apples in baskets A, B, and C so that each has the same number, how many apples will be in each basket? Use counters to find the fair share.<br \/>\n_______ apples<\/p>\n<p>Answer: 3 apples.<\/p>\n<p>Explanation: Mean for the apples are<br \/>\n= \\(\\frac{4+1+4}{3}<br \/>\n=\\frac{9}{3}\\)<br \/>\n= 3<br \/>\nSo there will be 3 apples in each basket.<\/p>\n<p>Question 5.<br \/>\nMake Arguments Can the pears be rearranged so that there is an equal whole number of pears in each basket? Explain why or why not.<\/p>\n<p>Answer: No pears cannot rearrange, as three stacks of counters height are 2,1,5 so that there is an equal number in each stack, So we cannot rearrange.<\/p>\n<p>Question 6.<br \/>\nUse counters to find the mean of the number of pears originally in baskets B and C. Draw a dot plot of the data set. Use your plot to explain why the mean you found is a balance point.<\/p>\n<p>Answer: Mean= 3<\/p>\n<p>Explanation: Mean= \\(\\frac{1+5}{2}<br \/>\n=\\frac{6}{2}\\)<br \/>\n= 3<br \/>\nAs data point 1 is 2 times less than the mean and data point 5 is 2 times greater than the mean, so the points are the same distance from the mean and the mean is the balance point.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7291\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/21.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"378\" height=\"213\" \/><\/p>\n<p>Question 7.<br \/>\nFour friends go to breakfast and the costs of their breakfasts are $5, $8, $9, and $10. Select True or False for each statement.<br \/>\n7a. The mean of the cost of the breakfasts can be found by adding each of the costs and dividing that total by 4.<br \/>\n7b. The mean cost of the four breakfasts is $10.<br \/>\n7c. The difference between the greatest cost and the mean is $2.<br \/>\n7d. The difference between the least cost and the mean is $2.<\/p>\n<p>Answer:<br \/>\n7a. True<\/p>\n<p>Explanation: As mean = (sum of the terms)\/ (No.of terms)<\/p>\n<p>7b. False<\/p>\n<p>Explanation: The mean cost of the four breakfast is \\(\\frac{$5+$8+$9+$10}{4}<br \/>\n=\\frac{$32}{4}\\)<br \/>\n= $8.<\/p>\n<p>7c. True<\/p>\n<p>Explanation: The difference between the greatest cost and the mean is $10-$8= $2.<\/p>\n<p>7d. False<\/p>\n<p>Explanation: The difference between the least cost and the mean is $8-$5= $3<\/p>\n<h3><a id=\"Mean_as_Fair_Share_and_Balance_Point_Page_No_679\"><\/a>Mean as Fair Share and Balance Point &#8211; Page No. 679<\/h3>\n<p><strong>Use counters to find the mean of the data set.<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169660\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-679-Q1.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 679 Q1\" width=\"672\" height=\"348\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-679-Q1.png 672w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-679-Q1-300x155.png 300w\" sizes=\"(max-width: 672px) 100vw, 672px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169661\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-679-Q2.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 679 Q2\" width=\"679\" height=\"300\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-679-Q2.png 679w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-679-Q2-300x133.png 300w\" sizes=\"(max-width: 679px) 100vw, 679px\" \/><\/p>\n<p><strong>Make a dot plot for the data set and use it to check whether the given value is a balance point for the data set.<\/strong><\/p>\n<p>Question 3.<br \/>\nSandy\u2019s friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels. Sandy says the mean of the data is 4. Is Sandy correct?<\/p>\n<p>Answer: Yes, Sandy is correct.<\/p>\n<p>Explanation: The mean of the data set is \\(\\frac{0+2+3+4+6+6+7}{7}<br \/>\n=\\frac{28}{7}\\)<br \/>\n= 4.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7297\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/22-e1599980753191.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"515\" height=\"188\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 4.<br \/>\nThree baskets contain 8, 8, and 11 soaps. Can the soaps be rearranged so that there is an equal whole number of soaps in each basket? Explain why or why not.<\/p>\n<p>Answer: Yes, the soaps can be rearranged.<\/p>\n<p>Explanation: As the mean is 9, the soaps can be rearranged so that there is an equal whole number of soaps in each basket. And we can fit 9 in each group.<\/p>\n<p>Question 5.<br \/>\nFive pages contain 6, 6, 9, 10, and 11 stickers. Can the stickers be rearranged so that there is an equal whole number of stickers on each page? Explain why or why not.<\/p>\n<p>Answer: No<\/p>\n<p>Explanation: No, we cannot rearrange the stickers. As there is a 5 stack counter which is unable to fit in for 6, 6, 9, 10, and 11 stickers<\/p>\n<p>Question 6.<br \/>\nDescribe how to use counters to find the mean of a set of data. Give a data set and list the steps to find the mean.<\/p>\n<p>Answer: We will start with an unequal stack then we will move a counter from the tallest stack to the shortest stack and we will repeat it until the stacks have the same height.<\/p>\n<h3><a id=\"Lesson_Check_Page_No_680\"><\/a>Lesson Check &#8211; Page No. 680<\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169662\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-680-Q1.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 680 Q1\" width=\"475\" height=\"286\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-680-Q1.png 475w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-680-Q1-300x181.png 300w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169663\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-680-Q2.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 680 Q2\" width=\"715\" height=\"344\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-680-Q2.png 715w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-680-Q2-300x144.png 300w\" sizes=\"(max-width: 715px) 100vw, 715px\" \/><\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nWhat figure does the net below represent?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-43.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 43\" width=\"154\" height=\"199\" \/><\/p>\n<p>Answer: As the net has 6 equal square surfaces, it represents a cube.<\/p>\n<p>Question 4.<br \/>\nSarah paints the box below. She paints the whole box except for the front face. What area of the box does she paint?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-44.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 44\" width=\"175\" height=\"123\" \/><br \/>\n_______ cm<sup>2<\/sup><\/p>\n<p>Answer: 586 cm<sup>2<\/sup><\/p>\n<p>Explanation: The area of the box is<br \/>\n= 2\u00d720\u00d77 + 2 \u00d79\u00d77 + 9\u00d720<br \/>\n= 280+126+180<br \/>\n= 586 cm<sup>2<\/sup><\/p>\n<p>Question 5.<br \/>\nChloe collected data and then displayed her results in the table to the right. What is the unit of measure of the data?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-45.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 45\" width=\"307\" height=\"145\" \/><\/p>\n<p>Answer: The unit of measure is Fahrenheit.<\/p>\n<h3><a id=\"Share_and_Show_Page_No_683\"><\/a>Share and Show &#8211; Page No. 683<\/h3>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169664\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q1.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 683 Q1\" width=\"660\" height=\"596\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q1.png 660w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q1-300x271.png 300w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Question 2.<br \/>\nJulie goes to several grocery stores and researches the price of a 12 oz bottle of juice. Find the mean, median, and mode of the prices shown.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-46.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 46\" width=\"254\" height=\"84\" \/><\/p>\n<p>Answer:<br \/>\nThe mean is $1.21<br \/>\nThe Median is $2.08<br \/>\nThe mode is $0.99<\/p>\n<p>Explanation:<br \/>\nThe mean is \\(\\frac{$0.95+$1.09+$0.99+$1.25+$0.99+$1.99}{6}<br \/>\n=\\frac{$7.26}{6}\\)<br \/>\n= $1.21.<br \/>\nFirst, we must set the data from smallest to greatest<br \/>\n$0.95,$0.99,$0.99,$1.09,$1.25,$1.99 as the count is even number we will add both middle numbers and will divide with 2<br \/>\nso, the median is $0.99+$1.09= $2.08\u00f72<br \/>\n= $1.04.<br \/>\nAs $0.99 appears twice the mode is $0.99.<\/p>\n<p><strong>On Your Own<\/strong><\/p>\n<p>Question 3.<br \/>\nT.J. is training for the 200-meter dash event for his school\u2019s track team. Find the mean, median, and mode of the times shown in the table.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-47.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 47\" width=\"255\" height=\"87\" \/><\/p>\n<p>Answer:<br \/>\nThe mean is $1.21<br \/>\nThe Median is $2.08<br \/>\nThe mode is $0.99<\/p>\n<p>Explanation:<br \/>\nThe mean is \\(\\frac{22.3+22.4+23.3+24.5+22.5}{5}<br \/>\n=\\frac{115}{5}\\)<br \/>\n= 23<br \/>\nFirst, we must set the data from smallest to greatest<br \/>\n22.3,22.4,22.5,23.3,24.5<br \/>\nso, the median is 22.5<br \/>\nAs no value appear twice there is no mode.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169665\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q4.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 683 Q4\" width=\"689\" height=\"464\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q4.png 689w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q4-300x202.png 300w\" sizes=\"(max-width: 689px) 100vw, 689px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169666\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q5.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 683 Q5\" width=\"711\" height=\"549\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q5.png 711w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-683-Q5-300x232.png 300w\" sizes=\"(max-width: 711px) 100vw, 711px\" \/><\/p>\n<h3><a id=\"Problem_Solving_Applications_Page_No_684\"><\/a>Problem Solving + Applications &#8211; Page No. 684<\/h3>\n<p><strong>Sense or Nonsense?<\/strong><\/p>\n<p>Question 6.<br \/>\nJeremy scored 85, 90, 72, 88, and 92 on five math tests, for a mean of 85.4. On the sixth test he scored a 95. He calculates his mean score for all 6 tests as shown below, but Deronda says he is incorrect. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.<\/p>\n<p>Jeremy\u2019s Work:<br \/>\nThe mean of my first 5 test scores was 85.4, so to find the mean of all 6 test scores, I just need to find the mean of 85.4 and 95.<br \/>\nMean = \\(\\frac{85.4+95}{2}=\\frac{180.4}{2}\\) = 90.2.<br \/>\nSo, my mean score for all 6 tests is 90.2.<\/p>\n<p>Deronda\u2019s Work:<br \/>\nTo find the mean of all 6 test scores, you need to add up all 6 scores and divide by 6.<br \/>\nMean = \\(\\frac{85+90+72+88+92+95}{6}=\\frac{522}{6}\\) = 87.<br \/>\nSo, Jeremy\u2019s mean score for all 6 tests is 87.<\/p>\n<p>Answer: Jeremy&#8217;s answer is nonsense, Deronda&#8217;s answer makes sense.<\/p>\n<p>Explanation: Jeremy should add all 6 test scores and then divide the sum by 6. And Deronda used the mean formula in the right way.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169667\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-684-Q7.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 684 Q7\" width=\"665\" height=\"524\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-684-Q7.png 665w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-684-Q7-300x236.png 300w\" sizes=\"(max-width: 665px) 100vw, 665px\" \/><\/p>\n<h3><a id=\"Measures_of_Center_Page_No_685\"><\/a>Measures of Center &#8211; Page No. 685<\/h3>\n<p><strong>Use the table for 1\u20134.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-48.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 48\" width=\"338\" height=\"218\" \/><\/p>\n<p>Question 1.<br \/>\nWhat is the mean of the data?<br \/>\nThe mean is _______ points.<\/p>\n<p>Answer: 9.4 points.<\/p>\n<p>Explanation: The mean is \\(\\frac{10+8+11+12+6}{5}<br \/>\n=\\frac{47}{5}\\)<br \/>\n= 9.4<\/p>\n<p>Question 2.<br \/>\nWhat is the median of the data?<br \/>\nThe median is _______ points.<\/p>\n<p>Answer: 10 points.<\/p>\n<p>Explanation: The median is 6,8,10,11,12<br \/>\n10.<\/p>\n<p>Question 3.<br \/>\nWhat is the mode(s) of the data?<\/p>\n<p>Answer: No mode.<\/p>\n<p>Explanation: As there are no repeated values, so there is no mode.<\/p>\n<p>Question 4.<br \/>\nSuppose Blaine played a sixth game and scored 10 points during the game. Find the new mean, median, and mode.<\/p>\n<p>Answer:<br \/>\nMean 9.5.<br \/>\nMedian 10.<br \/>\nMode 10.<\/p>\n<p>Explanation:<br \/>\nThe mean is \\(\\frac{10+8+11+12+6+10}{6}<br \/>\n= \\frac{57}{6}\\)<br \/>\n= 9.5.<br \/>\nThe median is 6,8,10,10,11,12<br \/>\n= \\(\\frac{10+10}{2}<br \/>\n= \\frac{20}{2}\\)<br \/>\n= 10.<br \/>\nAs 10 is repeated, so the mode is 10.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 5.<br \/>\nAn auto manufacturer wants their line of cars to have a median gas mileage of 25 miles per gallon or higher. The gas mileage for their five models are 23, 25, 26, 29, and 19. Do their cars meet their goal? Explain.<\/p>\n<p>Answer: 25.<\/p>\n<p>Explanation:<br \/>\nThe median is 19,23,25,26,29<br \/>\n25.<br \/>\nSo the car meets its goal.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169668\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-685-Q6.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 685 Q6\" width=\"695\" height=\"452\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-685-Q6.png 695w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-685-Q6-300x195.png 300w\" sizes=\"(max-width: 695px) 100vw, 695px\" \/><\/p>\n<p>Question 7.<br \/>\nExplain how to find the mean of a set of data.<\/p>\n<p>Answer: By dividing the sum of data by the number of data we can find the mean.<\/p>\n<h3><a id=\"Lesson_Check_Page_No_686\"><\/a>Lesson Check &#8211; Page No. 686<\/h3>\n<p>Question 1.<br \/>\nThe prices for a video game at 5 different stores are $39.99, $44.99, $29.99, $35.99, and $31.99. What is the mode(s) of the data?<\/p>\n<p>Answer: As there are no repeated values, so there is no mode.<\/p>\n<p>Question 2.<br \/>\nManuel is keeping track of how long he practices the saxophone each day. The table gives his practice times for the past five days. What is the mean of his practice times?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-49.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 49\" width=\"276\" height=\"200\" \/><\/p>\n<p>Answer: 39.<\/p>\n<p>Explanation: The mean is \\(\\frac{25+45+30+65+30}{5}<br \/>\n= \\frac{195}{5}\\)<br \/>\n= 39.<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nWhat is the surface area of the triangular prism shown below?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-50.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 50\" width=\"176\" height=\"134\" \/><br \/>\n_______ cm<sup>2<\/sup><\/p>\n<p>Answer: 1008 cm<sup>2<\/sup><\/p>\n<p>Explanation: The Surface area triangular prism= 25\u00d79+25\u00d712+25\u00d715+2\u00d712\u00d79\u00d712<br \/>\n= 225+300+375+108<br \/>\n= 1008 cm<sup>2<\/sup><\/p>\n<p>Question 4.<br \/>\nKate records the number of miles that she bikes each day. She displayed the number of daily miles in the dot plot below. Each dot represents the number of miles she biked in one day. How many days did she bike 4\u20137 miles?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-51.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 51\" width=\"315\" height=\"140\" \/><\/p>\n<p>Answer: 7 days<\/p>\n<p>Explanation: By counting dots from 4-7 we will get to know how many days she bikes. So it is for 7 days.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169669\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-686-Q5.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 686 Q5\" width=\"690\" height=\"333\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-686-Q5.png 690w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-686-Q5-300x145.png 300w\" sizes=\"(max-width: 690px) 100vw, 690px\" \/><\/p>\n<h3><a id=\"Share_and_Show_Page_No_689\"><\/a>Share and Show &#8211; Page No. 689<\/h3>\n<p>Question 1.<br \/>\nFind the outlier by drawing a dot plot of the data.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-52.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 52\" width=\"318\" height=\"87\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-53.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 53\" width=\"500\" height=\"105\" \/><\/p>\n<p>Answer: The outlier is 15.<\/p>\n<p>Explanation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7305\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/23-300x116.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"427\" height=\"165\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/23-300x116.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/23.png 512w\" sizes=\"(max-width: 427px) 100vw, 427px\" \/><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169670\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-689-Q2.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 689 Q2\" width=\"671\" height=\"383\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-689-Q2.png 671w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-689-Q2-300x171.png 300w\" sizes=\"(max-width: 671px) 100vw, 671px\" \/><\/p>\n<p>Question 3.<br \/>\nIdentify the outlier in the data set of melon weights. Then describe the effect the outlier has on the mean and median.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-54.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 54\" width=\"273\" height=\"85\" \/><\/p>\n<p>Answer: The outlier is 14.<\/p>\n<p>Explanation:<br \/>\nThe mean with outlier is \\(\\frac{47+45+48+45+49+47+14+45+51+46+47}{11}<br \/>\n= \\frac{$484}{11}\\)<br \/>\n= 44 oz.<br \/>\nThe mean without outlier is \\(\\frac{47+45+48+45+49+47+45+51+46+47}{10}<br \/>\n= \\frac{$470}{10}\\)<br \/>\n= 47 oz.<br \/>\nThe outlier decreases the mean from 47 to 44 oz.<br \/>\nThe median is 14,45,45,45,46,47,47,47,48,49,51.<br \/>\n= 47<br \/>\nThere is no change in the median with the outlier.<\/p>\n<p>Question 4.<br \/>\nUse Reasoning In a set of Joanne\u2019s test scores, there is an outlier. On the day of one of those tests, Joanne had the flu. Do you think the outlier is greater or less than the rest of her scores? Explain<\/p>\n<p>Answer: The outlier is less than the rest of her score because if Joanne had the flu her test score from the day is probably lower thn her score.<\/p>\n<h3><a id=\"Problem_Solving_Applications_Page_No_690\"><\/a>Problem Solving + Applications &#8211; Page No. 690<\/h3>\n<p><strong>Use the table for 5\u20137.<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-55.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 55\" width=\"252\" height=\"206\" \/><\/p>\n<p>Question 5.<br \/>\nWhich player\u2019s number of stolen bases is an outlier?<\/p>\n<p>Answer: Rickey Henderson.<\/p>\n<p>Explanation: The player is Rickey Henderson number 1,406 is an outlier.<\/p>\n<p>Question 6.<br \/>\nWhat effect does the outlier have on the median of the data set?<\/p>\n<p>Answer: The outlier increases from 905.5 to 914.<\/p>\n<p>Explanation: The median with outlier is 914 and the median without outlier is \\(\\frac{897+914}{2}<br \/>\n= \\frac{1811}{2}\\)<br \/>\n=\u00a0 905.5<br \/>\nThe outlier increases from 905.5 to 914.<\/p>\n<p>Question 7.<br \/>\nMiguel wrote that the mean of the data set is 992.6. Is this the mean with or without the outlier? Explain how you can tell without doing a calculation.<\/p>\n<p>Answer: This is the mean is with outlier as the mean 992.6 is greater than the data values except for the outlier.<\/p>\n<p>Question 8.<br \/>\nDoes an outlier have any effect on the mode of a data set? Explain<\/p>\n<p>Answer: The outlier will not effect the mode of a data set because an outlier must be greater or lesser than the data value, so it cannot be the same as any other data value.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169671\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-690-Q9.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 690 Q9\" width=\"670\" height=\"281\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-690-Q9.png 670w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-690-Q9-300x126.png 300w\" sizes=\"(max-width: 670px) 100vw, 670px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169672\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-690-Q9.1.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 690 Q9.1\" width=\"665\" height=\"196\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-690-Q9.1.png 665w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-690-Q9.1-300x88.png 300w\" sizes=\"(max-width: 665px) 100vw, 665px\" \/><\/p>\n<h3><a id=\"Effects_of_Outliers_Page_No_691\"><\/a>Effects of Outliers &#8211; Page No. 691<\/h3>\n<p>Question 1.<br \/>\nIdentify the outlier in the data set of students in each class. Then describe the effect the outlier has on the mean and median.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-56.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 56\" width=\"482\" height=\"85\" \/><\/p>\n<p>Answer: The outlier is 12. The outlier decreases both mean and median.<\/p>\n<p>Explanation:<br \/>\nThe mean with outlier is \\(\\frac{30+22+26+21+24+28+23+26+28+12}{10}<br \/>\n= \\frac{240}{10}\\)<br \/>\n= 24.<br \/>\nThe mean without outlier is \\(\\frac{30+22+26+21+24+28+23+26+28}{9}<br \/>\n= \\frac{228}{9}\\)<br \/>\n= 25.3.<br \/>\nThe outlier decreases mean from 24 to 25.3.<br \/>\nThe median with outlier is 12,21,22,23,24,26,26,28,28,30.<br \/>\n= \\(\\frac{24+26}{2}<br \/>\n= \\frac{50}{2}\\)<br \/>\n= 25<br \/>\nThe median without outlier is 21,22,23,24,26,26,28,28,30.<br \/>\n= 26<br \/>\nThe outlier decreases both mean and median.<\/p>\n<p>Question 2.<br \/>\nIdentify the outlier in the data set of pledge amounts. Then describe the effect the outlier has on the mean and median.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-57.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 57\" width=\"386\" height=\"85\" \/><\/p>\n<p>Answer: The outlier is $100. The outlier increases mean from $22 to $31.75 and no effect on median.<\/p>\n<p>Explanation:<br \/>\nThe mean with outlier is \\(\\frac{$100+$10+$15+$20+$17+$20+$32+$40}{8}<br \/>\n= \\frac{$254}{8}\\)<br \/>\n= $31.75.<br \/>\nThe mean without outlier is \\(\\frac{$10+$15+$20+$17+$20+$32+$40}{7}<br \/>\n= \\frac{$154}{7}\\)<br \/>\n= 22.<br \/>\nThe outlier increases mean from $22 to $31.75.<br \/>\nThe median with outlier is $10,$15,$17,$20,$20,$32,$40,$100.<br \/>\n= \\(\\frac{$20+$20}{2}<br \/>\n= \\frac{$40}{2}\\)<br \/>\n= $20<br \/>\nThe median without outlier is $10,$15,$17,$20,$20,$32,$40.<br \/>\n= $20.<br \/>\nThe outlier has no effect on median.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 3.<br \/>\nDuke\u2019s science quiz scores are 99, 91, 60, 94, and 95. Describe the effect of the outlier on the mean and median.<\/p>\n<p>Answer: The outlier is 60. The outlier decreases the mean from 94.75 to 87.8 and decreases the median from 94.5 to 94.<\/p>\n<p>Explanation:<br \/>\nThe mean with outlier is \\(\\frac{99+91+60+94+95}{5}<br \/>\n= \\frac{439}{5}\\)<br \/>\n= 87.8.<br \/>\nThe mean without outlier is \\(\\frac{99+91+94+95}{4}<br \/>\n= \\frac{379}{4}\\)<br \/>\n= 94.75.<br \/>\nThe outlier decreases mean from 94.75 to 87.8.<br \/>\nThe median with outlier is 60,91,94,95,99.<br \/>\n= 94.<br \/>\nThe median without outlier is 91,94,95,99.<br \/>\n= \\(\\frac{94+95}{2}<br \/>\n= \\frac{189}{2}\\)<br \/>\n= 94.5<br \/>\nThe outlier decreases the median from 94.5 to 94.<\/p>\n<p>Question 4.<br \/>\nThe number of people who attended an art conference for five days was 42, 27, 35, 39, and 96. Describe the effect of the outlier on the mean and median.<\/p>\n<p>Answer: The outlier is 96. The outlier increases the mean from 35.75 to 47.8 and increases the median from 37 to 39.<\/p>\n<p>Explanation:<br \/>\nThe mean with outlier is \\(\\frac{42+27+35+39+96}{5}<br \/>\n= \\frac{239}{5}\\)<br \/>\n=47.8 .<br \/>\nThe mean without outlier is \\(\\frac{42+27+35+39}{4}<br \/>\n= \\frac{143}{4}\\)<br \/>\n= 35.75.<br \/>\nThe outlier increases mean from 35.75 to 47.8.<br \/>\nThe median with the outlier is 27,35,39,42,96.<br \/>\n= 39.<br \/>\nThe median without outlier is 27,35,39,42.<br \/>\n= \\(\\frac{35+39}{2}<br \/>\n= \\frac{74}{2}\\)<br \/>\n= 37.<br \/>\nThe outlier increases the median from 37 to 39.<\/p>\n<p>Question 5.<br \/>\nFind or create a set of data that has an outlier. Find the mean and median with and without the outlier. Describe the effect of the outlier on the measures of center.<\/p>\n<p>Answer:<\/p>\n<h3><a id=\"Lesson_Check_Page_No_692\"><\/a>Lesson Check &#8211; Page No. 692<\/h3>\n<p>Question 1.<br \/>\nWhat is the outlier for the data set?<br \/>\n19, 19, 27, 21, 77, 18, 23, 29<\/p>\n<p>Answer: The outlier is 77.<\/p>\n<p>Explanation: As 77 is not fit in the data set, so 77 is an outlier.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169673\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-692-Q2.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 692 Q2\" width=\"709\" height=\"349\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-692-Q2.png 709w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-692-Q2-300x148.png 300w\" sizes=\"(max-width: 709px) 100vw, 709px\" \/><\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nHector covers each face of the pyramid below with construction paper. The area of the base of the pyramid is 28 square inches. What area will he cover with paper?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-58.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 58\" width=\"146\" height=\"155\" \/><br \/>\n_______ in.<sup>2<\/sup><\/p>\n<p>Answer: 196 in.<sup>2<\/sup><\/p>\n<p>Explanation:<br \/>\nArea= 1\/2 bh<br \/>\n= 1\/2 \u00d7 8\u00d714<br \/>\n= 4\u00d714<br \/>\n= 56 in.<sup>2<\/sup><br \/>\nThe surface area is 28+3\u00d756<br \/>\n= 28+168<br \/>\n= 196 in.<sup>2<\/sup><\/p>\n<p>Question 4.<br \/>\nMr. Stevenson measured the heights of several students and recorded his findings in the chart below. How many observations did he complete?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-59.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 59\" width=\"351\" height=\"81\" \/><\/p>\n<p>Answer: No.of observations are 14.<\/p>\n<p>Question 5.<br \/>\nKendra is making a histogram for the data in the chart. She uses the intervals 0\u20134, 5\u20139, 10\u201314, and 15\u201319. What should be the height of the longest bar in her histogram?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-60.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 60\" width=\"352\" height=\"115\" \/><\/p>\n<p>Answer: So the height of the longest bar is 5.<\/p>\n<p>Explanation:<br \/>\nThe frequency of intervals from 0-4 is 2.<br \/>\nThe frequency of intervals from 5-9 is 5.<br \/>\nThe frequency of intervals from 10-14 is 4.<br \/>\nThe frequency of intervals from 15-19 is 4.<br \/>\nSo the height of the longest bar is 5.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169674\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-692-Q6.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 692 Q6\" width=\"698\" height=\"489\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-692-Q6.png 698w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-692-Q6-300x210.png 300w\" sizes=\"(max-width: 698px) 100vw, 698px\" \/><\/p>\n<h3><a id=\"Share_and_Show_Page_No_695\"><\/a>Share and Show &#8211; Page No. 695<\/h3>\n<p>Question 1.<br \/>\nThe table shows the number of goals scored by the Florida Panthers National Hockey League team in the last 20 games of the 2009 season. What was the most common number of goals the team scored?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-61.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 61\" width=\"374\" height=\"86\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-62.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 62\" width=\"275\" height=\"95\" \/><\/p>\n<p>Answer: The most common number of goals the team scored is 2.<\/p>\n<p>Explanation: As 2 has appeared 6 times.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7331\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/24.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"465\" height=\"311\" \/><\/p>\n<p>Question 2.<br \/>\nDraw a histogram of the hockey data. Use it to find the percent of the games in which the Panthers scored more than 3 goals.<\/p>\n<p>Answer:<\/p>\n<p>Explanation:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7332\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/25-300x209.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"504\" height=\"351\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/25-300x209.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/25.png 541w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><\/p>\n<p>Question 3.<br \/>\nUse Appropriate Tools If you needed to find the mean of a data set, which data display\u2014dot plot or histogram\u2014would you choose? Explain your reasoning.<\/p>\n<p>Answer: To find the mean data set the best tool is a dot plot because in a dot plot we can add all the data values to find the mean but in a histogram does not show individual values.<\/p>\n<h3><a id=\"On_Your_Own_Page_No_696\"><\/a>On Your Own &#8211; Page No. 696<\/h3>\n<p>Question 4.<br \/>\nCorey collected data on the ages of the parents of his classmates. Make a data display and use it to find the percent of parents at least 30 years old but under 50 years old.<br \/>\n42, 36, 35, 49, 52, 43, 41, 32, 45, 39, 50, 38, 27, 29, 37, 39<\/p>\n<p>Answer: 75% of parents at least 30 years old but under 50 years old.<\/p>\n<p>Explanation: Total parents are 16 and 12 parents who are at least 30 years old but under 50 years. So percent is 12\/16= 0.75<br \/>\n= 75% of\u00a0parents at least 30 years old but under 50 years old.<\/p>\n<p>Question 5.<br \/>\nWhat is the mode of the data in Exercise 4?<\/p>\n<p>Answer: 39<\/p>\n<p>Explanation: As 39 appears two times, the mode is 39.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169675\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-696-Q6.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 696 Q6\" width=\"700\" height=\"423\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-696-Q6.png 700w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-696-Q6-300x181.png 300w\" sizes=\"(max-width: 700px) 100vw, 700px\" \/><\/p>\n<p>Question 7.<br \/>\nA recipe for punch calls for apple juice and cranberry juice. The ratio of apple juice to cranberry juice is 3:2. Tyrone wants to make at least 20 cups of punch, but no more than 30 cups of punch. Describe two different ways he can use apple juice and cranberry juice to make the punch.<\/p>\n<p>Answer: Tyrone can use 60:40 and 90:60.<\/p>\n<p>Explanation: For 20 cups Tyrone can use 60:40 and for 30 cups he can use 90:60<\/p>\n<p>Question 8.<br \/>\nThe data set shows the total points scored by the middle school basketball team in the last 14 games. What is the most common number of points scored in a game? Explain how to find the answer using a dot plot.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-63.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 63\" width=\"320\" height=\"90\" \/><\/p>\n<p>Answer: The most common number of points scored in a game is 39<\/p>\n<p>Explanation:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7351\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/26-300x79.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"604\" height=\"159\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/26-300x79.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/26.png 612w\" sizes=\"(max-width: 604px) 100vw, 604px\" \/><\/p>\n<h3><a id=\"Problem_Solving_Data_Displays_Page_No_697\"><\/a>Problem Solving Data Displays &#8211; Page No. 697<\/h3>\n<p><strong>Read each problem and solve.<\/strong><\/p>\n<p>Question 1.<br \/>\nJosie collected data on the number of siblings her classmates have. Make a data display and determine the percent of Josie\u2019s classmates that have more than 2 siblings.<br \/>\n5, 1, 2, 1, 2, 4, 3, 2, 2, 6<br \/>\n_______ %<\/p>\n<p>Answer: 40%.<\/p>\n<p>Explanation: Total number of classmates are 10 members and 4 of them have more than 2 siblings, so the percent of Josie&#8217;s classmates is 4\u00f710= 0.4= 40%.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7352\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/27-300x108.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"497\" height=\"178\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/27-300x108.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/27.png 366w\" sizes=\"(max-width: 497px) 100vw, 497px\" \/><\/p>\n<p>Question 2.<br \/>\nThe following data show the number of field goals a kicker attempted each game. Make a data display and tell which number of field goals is the mode.<br \/>\n4, 6, 2, 1, 3, 1, 2, 1, 5, 2, 2, 3<\/p>\n<p>Answer: The mode of data is 2.<\/p>\n<p>Explanation: As 2 is repeated 4 times, so the mode is 2.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7353\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/28-300x103.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"571\" height=\"196\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/28-300x103.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/28.png 362w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><\/p>\n<p>Question 3.<br \/>\nThe math exam scores for a class are shown below. Make a data display. What percent of the scores are 90 and greater?<br \/>\n91, 68, 83, 75, 81, 99, 97, 80, 85, 70, 89, 92, 77, 95, 100, 64, 88, 96, 76, 88<\/p>\n<p>Answer: 35% of the scores are 90 and greater.<\/p>\n<p>Explanation: Total data display is 20 scores and 7 of them are greater than 90. So the percent of scores is 7\u00f720= 0.35<br \/>\n= 35%.<\/p>\n<p>Question 4.<br \/>\nThe heights of students in a class are shown below in inches. Make a data display. What percent of the students are taller than 62 inches?<br \/>\n63, 57, 60, 64, 59, 62, 65, 58, 63, 65, 58, 61, 63, 64<\/p>\n<p>Answer: 50% of the students are taller than 62 inches.<\/p>\n<p>Explanation: Total data display is 14 scores and 7 of them are taller than 62 inches. So the percent of scores is 7\u00f714= 0.5<br \/>\n= 50%.<\/p>\n<p>Question 5.<br \/>\nWrite and solve a problem for which you would use a dot plot or histogram to answer questions about given data.<\/p>\n<p>Answer:<\/p>\n<h3><a id=\"Lesson_Check_Page_No_698\"><\/a> Lesson Check &#8211; Page No. 698<\/h3>\n<p>Question 1.<br \/>\nThe number of student absences is shown below. What is the mode of the absences?<br \/>\n2, 1, 3, 2, 1, 1, 3, 2, 2, 10, 4, 5, 1, 5, 1<\/p>\n<p>Answer: 1<\/p>\n<p>Explanation: The mode is the data value with the most dots, so the mode of absence is 1.<\/p>\n<p>Question 2.<br \/>\nKelly is making a histogram of the number of pets her classmates own. On the histogram, the intervals of the data are 0\u20131, 2\u20133, 4\u20135, 6\u20137. What is the range of the data?<\/p>\n<p>Answer: 7<\/p>\n<p>Explanation: The range of data is 7.<\/p>\n<p><strong>Spiral Review<\/strong><\/p>\n<p>Question 3.<br \/>\nThe area of the base of the rectangular prism shown below is 45 square millimeters. The height is 5 \\(\\frac{1}{2}\\) millimeters. What is the volume of the prism?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-64.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 64\" width=\"242\" height=\"140\" \/><br \/>\n_______ \\(\\frac{\u25a1}{\u25a1}\\) mm<sup>3<\/sup><\/p>\n<p>Answer: 247 1\/2 mm<sup>3<\/sup><\/p>\n<p>Explanation:<br \/>\nAs l\u00d7w= 45 mm<sup>2<\/sup><br \/>\nArea of the base is l\u00d7w<br \/>\nV= l\u00d7w\u00d7h<br \/>\n=\u00a0 45\u00d7h<br \/>\n= 45 \u00d7 5 1\/2<br \/>\n= 45 \u00d7 11\/2<br \/>\n= 495\/2<br \/>\n= 247 1\/2 mm<sup>3<\/sup><\/p>\n<p>Question 4.<br \/>\nThe frequency table shows the number of runs scored by the Cougars in 20 of their baseball games. In what percent of the games did they score 5 or fewer runs?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-65.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 65\" width=\"353\" height=\"175\" \/><br \/>\n_______ %<\/p>\n<p>Answer: 85%.<\/p>\n<p>Explanation: The Cougars scores 5 or fewer runs in 17 of their 20 games. So the percent of the games did they score 5 or fewer runs is 17\/20= 0.85 = 85%.<\/p>\n<p>Question 5.<br \/>\nThere are 5 plates of bagels. The numbers of bagels on the plates are 8, 10, 9, 10, and 8. Shane rearranges the bagels so that each plate has the same amount. How many bagels are now on each plate?<\/p>\n<p>Answer: 9<\/p>\n<p>Explanation: There are 9 bagels on each plate.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169676\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-698-Q6.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 698 Q6\" width=\"648\" height=\"348\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-698-Q6.png 648w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-698-Q6-300x161.png 300w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><\/p>\n<h3><a id=\"Chapter_12_Review_Test_Page_No_699\"><\/a>Chapter 12 Review\/Test &#8211; Page No. 699<\/h3>\n<p>Question 1.<br \/>\nThe data set shows the total number of sandwiches sold each day for 28 days. What is the most common number of sandwiches sold in a day?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-66.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 66\" width=\"409\" height=\"183\" \/><br \/>\n______ sandwiches<\/p>\n<p>Answer: 13 sandwiches.<\/p>\n<p>Explanation: The most common number of sandwiches sold are 13.<\/p>\n<p>Question 2.<br \/>\nMichael&#8217;s teacher asks, &#8220;How many items were sold on the first day of the fund raiser?&#8221; Explain why this is not a statistical question.<\/p>\n<p>Answer: As there is no variability in the number of items sold on the first day of the fundraiser, so it is not a statistical question.<\/p>\n<p>Question 3.<br \/>\nDescribe the data set by writing the attribute measured, the unit of measure, the likely means of measurement, and the number of observations in the correct location on the chart.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-67.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 67\" width=\"409\" height=\"76\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-68.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 68\" width=\"683\" height=\"331\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7363\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/29-300x130.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"522\" height=\"226\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/29-300x130.png 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/29.png 394w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><\/p>\n<h3><a id=\"Page_No_700\"><\/a>Page No. 700<\/h3>\n<p>Question 4.<br \/>\nThe numbers of points scored by a football team in 7 different games are 26, 38, 33, 20, 27, 3, and 28. For numbers 4a\u20134c, select True or False to indicate whether the statement is correct.<br \/>\n4a. The outlier in the data set is 3<br \/>\n4b. The difference between the outlier and the median is 24.<br \/>\n4c. The outlier in this set of data affects the mean by increasing it.<\/p>\n<p>4a.<br \/>\nAnswer:\u00a0 True.<\/p>\n<p>Explanation: The outlier is 3.<\/p>\n<p>4b.<br \/>\nAnswer: True.<\/p>\n<p>Explanation: The median is 3,20,26,27,28,33,38<br \/>\n= 27<br \/>\nand outlier is 3, so difference between median and outlier is 27-3= 24.<\/p>\n<p>4c.<br \/>\nAnswer: False<\/p>\n<p>Explanation: The mean with outlier is \\(\\frac{26+38+33+20+27+3+28}{7}<br \/>\n= \\frac{175}{7}\\)<br \/>\n= 25<br \/>\nThe mean without outlier is \\(\\frac{26+38+33+20+27+28}{6}<br \/>\n= \\frac{172}{6}\\)<br \/>\n= 28.6<br \/>\nThe mean increases without the outlier.<\/p>\n<p>Question 5.<br \/>\nMr. Jones gave a quiz to his math class. The students\u2019 scores are listed in the table. Make a dot plot of the data.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-69.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 69\" width=\"292\" height=\"219\" \/><\/p>\n<p>Answer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-7364\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/30.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" width=\"507\" height=\"282\" \/><\/p>\n<p>Question 6.<br \/>\nMelanie scored 10, 10, 11, and 13 points in her last 4 basketball games.<br \/>\nThe mean of the test scores is _____.<br \/>\nThe median of the test scores is _____.<br \/>\nThe mode of the test scores is _____.<\/p>\n<p>Answer:<br \/>\nThe mean of the test scores is 11.<br \/>\nThe median of the test scores is 10.5<br \/>\nThe mode of the test scores is 10.<\/p>\n<p>Explanation:<br \/>\nThe mean of the test scores is \\(\\frac{10+10+11+13}{4}<br \/>\n= \\frac{44}{4}\\)<br \/>\n= 11.<br \/>\nThe median of the test scores is 10,10,11,13<br \/>\n= \\(\\frac{10+11}{2}<br \/>\n= \\frac{21}{2}\\)<br \/>\n= 10.5<br \/>\nThe mode of the test scores is 10. As 10 is repeated twice.<\/p>\n<h3><a id=\"Page_No_701\"><\/a>Page No. 701<\/h3>\n<p>Question 7.<br \/>\nThe Martin family goes out for frozen yogurt to celebrate the last day of school. The costs of their frozen yogurts are $1, $1, $2, and $4. Select True or False for each statement.<br \/>\n7a. The mean cost for the frozen yogurts can be found by adding each cost and dividing that total by 4.<br \/>\n7b. The mean cost of the four frozen yogurts is $2.<br \/>\n7c. The difference between the greatest cost and the mean is $1.<br \/>\n7d. The difference between the least cost and the mean is $1.<\/p>\n<p>7a.<br \/>\nAnswer: True.<\/p>\n<p>Explanation: To find the mean we will add each cost and divide that total by 4.<\/p>\n<p>7b.<br \/>\nAnswer: True.<\/p>\n<p>Explnation: The mean is \\(\\frac{$1+$1+$2+$4}{4}<br \/>\n= \\frac{$8}{4}\\)<br \/>\n= $2.<\/p>\n<p>Answer:<br \/>\n7c. False.<\/p>\n<p>Explanation: The difference between the greatest cost and the mean is $4-$2= $2.<\/p>\n<p>Answer:<br \/>\n7d. True.<\/p>\n<p>Explanation: The difference between the least cost and the mean is $2-$1= $1.<\/p>\n<p>Question 8.<br \/>\nThe histogram shows the amount of time students spent on homework for the week. For numbers 8a\u20138d, choose True or False to indicate whether the statement is correct.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-70.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 70\" width=\"458\" height=\"343\" \/><br \/>\n8a. The number of students that spent between 30 minutes and 59 minutes on homework is 2.<br \/>\n8b. The greatest number of students spent between 90 minutes and 119 minutes on homework.<br \/>\n8c. Five of the students spent less than 60 minutes on homework for the week.<br \/>\n8d. Six of the students spent 60 minutes or more on homework for the week.<\/p>\n<p>8a.<br \/>\nAnswer: True.<\/p>\n<p>8b.<br \/>\nAnswer: True.<\/p>\n<p>8c.<br \/>\nAnswer: False<\/p>\n<p>Explanation: Three of the students spent less than 60 minutes.<\/p>\n<p>8d.<br \/>\nAnswer: True.<\/p>\n<h3><a id=\"Page_No_702\"><\/a>Page No. 702<\/h3>\n<p>Question 9.<br \/>\nThe dot plot shows how many games of chess 8 different members of the chess club played in one month. If Jackson is a new member of the chess club, how many games of chess is he likely to play in one month? Explain how the dot plot helped you find the answer.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-71.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 71\" width=\"409\" height=\"187\" \/><\/p>\n<p>Answer: Jackson played 5 games of chess in one month.<\/p>\n<p>Explanation: As the tallest stack in this dot plot is 5 games.<\/p>\n<p>Question 10.<br \/>\nLarry is training for a bicycle race. He records how far he rides each day. Find the mode of the data.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-72.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 72\" width=\"651\" height=\"113\" \/><\/p>\n<p>Answer: 15<\/p>\n<p>Explanation: As 15 is repeated 3 times, so the mode of the data is 15.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169677\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-702-Q11.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 702 Q11\" width=\"672\" height=\"223\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-702-Q11.png 672w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-702-Q11-300x100.png 300w\" sizes=\"(max-width: 672px) 100vw, 672px\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169678\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-702-Q11.1.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 702 Q11.1\" width=\"675\" height=\"368\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-702-Q11.1.png 675w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-702-Q11.1-300x164.png 300w\" sizes=\"(max-width: 675px) 100vw, 675px\" \/><\/p>\n<p>Question 12.<br \/>\nThe frequency table shows the height, in inches, of 12 basketball players. What fraction of the players are 70 inches or taller?<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-73.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 73\" width=\"399\" height=\"187\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer: \\(\\frac{3}{4}\\).<\/p>\n<p>Explanation: The total number of players who are 70 inches or taller are 6+3= 9, so fraction is \\(\\frac{9}{12}\\)<br \/>\n= \\(\\frac{3}{4}\\).<\/p>\n<h3><a id=\"Page_No_703\"><\/a>Page No. 703<\/h3>\n<p>Question 13.<br \/>\nA teacher surveys her students to find out how much time the students spent eating lunch on Monday.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-74.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 74\" width=\"296\" height=\"147\" \/><br \/>\nShe uses _____ as the unit of measure.<br \/>\nShe uses ______ as the unit of measure.<\/p>\n<p>Answer: She uses minutes as the unit of measure.<\/p>\n<p>Question 14.<br \/>\nFor numbers 14a\u201314d, choose Yes or No to indicate whether the question is a statistical question.<br \/>\n14a. What are the heights of the trees in the park?<br \/>\n14b. How old are the trees in the park?<br \/>\n14c. How tall is the cypress tree on the north side of the lake this morning?<br \/>\n14d. What are the diameters of the trees in the park?<\/p>\n<p>14a.<br \/>\nAnswer: Yes.<\/p>\n<p>14b.<br \/>\nAnswer: Yes.<\/p>\n<p>14c.<br \/>\nAnswer: No.<\/p>\n<p>14d. Yes.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-169679\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-703-Q15.png\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center Page 703 Q15\" width=\"691\" height=\"397\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-703-Q15.png 691w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-Page-703-Q15-300x172.png 300w\" sizes=\"(max-width: 691px) 100vw, 691px\" \/><\/p>\n<p>Question 16.<br \/>\nThe data set shows the ages of the members of the cheerleading squad. What is the most common age of the members of the squad? Explain how to find the answer using a dot plot.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-75.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 75\" width=\"292\" height=\"112\" \/><\/p>\n<p>Answer: 11 is the most common age of the members of the squad.<\/p>\n<p>Explanation:<\/p>\n<h3><a id=\"Page_No_704\"><\/a>Page No. 704<\/h3>\n<p>Question 17.<br \/>\nThe band director kept a record of the number of concert tickets sold by 20 band members. Complete the frequency table by finding the frequency and the relative frequency.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-76.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 76\" width=\"482\" height=\"187\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-77.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 77\" width=\"437\" height=\"245\" \/><\/p>\n<p>Answer:<\/p>\n<p>Explanation:<\/p>\n<p>Question 18.<br \/>\nGilbert is training for a marathon by running each week. The table shows the distances, in miles, that he ran each week during the first 7 weeks.<br \/>\n<img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-6-Answer-Key-Chapter-12-Data-Displays-and-Measures-of-Center-img-78.jpg\" alt=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center img 78\" width=\"635\" height=\"76\" \/><br \/>\nPart A<br \/>\nGilbert set a goal that the mean number of miles he runs in 7 weeks is at least 14 miles. Did Gilbert reach his goal? Use words and numbers to support your answer.<\/p>\n<p>Answer: No, Gilbert did not reach his goal as 13 is less than 14.<\/p>\n<p>Explanation: The mean number of miles he runs in 7 weeks \\(\\frac{8+10+9+10+15+18+21}{7}<br \/>\n= \\frac{91}{7}\\)<br \/>\n= 13<\/p>\n<p>Question 18.<br \/>\nPart B<br \/>\nSuppose Gilbert had run 18 miles during week 5 and 22 miles during week 6. Would he have reached his goal? Use words and numbers to support your answer<\/p>\n<p>Answer: As the mean is 14, Gilbert reached his goal.<\/p>\n<p>Explanation: The mean is \\(\\frac{8+10+9+10+22+18+21}{7}<br \/>\n= \\frac{98}{7}\\)<br \/>\n= 14.<\/p>\n<p><em>Final Words<\/em><\/p>\n<p>Tap the above links and start your preparation from now itself. You can understand the concepts of Data Displays and Measures of Center in-depth here. Bookmark our ccssanswers.com to get the answers with explanations for all grade 6 chapters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Students who are unable to solve the textbook problems can go through the Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center. Refer to HMH Go Math 6th Grade Solution Key of Chapter 12 Data Displays and Measures of Center to understand the problem-solving methods in depth. Go Math Grade &#8230; <a title=\"Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/go-math-grade-6-answer-key-chapter-12-data-displays-and-measures-of-center\/\" aria-label=\"More on Go Math Grade 6 Answer Key Chapter 12 Data Displays and Measures of Center\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8829,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/10\/go-math-grade-6-chapter-12-data-displays-and-measures-of-center-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/5563"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=5563"}],"version-history":[{"count":3,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/5563\/revisions"}],"predecessor-version":[{"id":169680,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/5563\/revisions\/169680"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/8829"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=5563"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=5563"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=5563"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}