{"id":143736,"date":"2022-07-22T17:00:46","date_gmt":"2022-07-22T11:30:46","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=143736"},"modified":"2022-10-31T12:18:50","modified_gmt":"2022-10-31T06:48:50","slug":"worksheet-on-mean-of-ungrouped-data","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/worksheet-on-mean-of-ungrouped-data\/","title":{"rendered":"Worksheet on Mean of Ungrouped Data | Activity Sheet on Finding Mean Practice Problems and Solutions PDF"},"content":{"rendered":"<p>Mean is the most commonly used central tendency measure. In Mathematics, there are various types of means but in<a href=\"https:\/\/ccssanswers.com\/statistics\/\"> Statistics<\/a>, the mean is the sum of observations divided by the total number of observations. Also, there are other names for mean like arithmetic mean, average. Practicing Mean of Raw Data word problems can make you solve any kind of questions in exams easily. So, Answer all the questions provided in this Worksheet on Mean of Ungrouped Data PDF and gain extra knowledge on finding the arithmetic mean.<\/p>\n<p>Also Check:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssanswers.com\/problems-based-on-average\/\">Problems Based on Average<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/problems-on-mean-of-ungrouped-data\/\">Problems on Mean of Ungrouped Data<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/properties-questions-on-arithmetic-mean\/\">Properties Questions on Arithmetic Mean<\/a><\/li>\n<li><a href=\"https:\/\/ccssanswers.com\/word-problems-on-arithmetic-mean\/\">Word Problems on Arithmetic Mean<\/a><\/li>\n<\/ul>\n<h2>Practice Question on Mean for Ungrouped Data Worksheet PDF<\/h2>\n<p><strong>Example 1:<\/strong><\/p>\n<p>The heights of five students are 155 in, 140 in, 150 in, 160 in, and,165 in respectively. Find the mean height of the students.<\/p>\n<details>\n<summary><strong>Solution:<\/strong><\/summary>\n<p>Given heights of 5 students are 155 in, 140 in, 150 in, 160 in, and,165 in<br \/>\nSum of the heights of five students = (155+140+150+160+165) = 770<br \/>\nUsing Mean Formula,<br \/>\nMean = {Sum of Observation} \u00f7 {Total numbers of Observations}<br \/>\n= 770 \u00f7 5<br \/>\n= 154 in<\/p>\n<\/details>\n<hr \/>\n<p><strong>Example 2:<\/strong><\/p>\n<p>Find the mean of the following.<br \/>\n(i) The first five positive integers.<br \/>\n(ii) 4, 11, 3, 5, 10, 15, 40<\/p>\n<details>\n<summary><strong>Solution:<\/strong><\/summary>\n<p>(i) The first five positive numbers are 1, 2, 3, 4, 5<br \/>\nMean of the five positive numbers = Sum of five positive numbers \u00f7 Total number<br \/>\n= 1+2+3+4+5 \u00f7 5<br \/>\n= 15 \u00f7 5<br \/>\n= 3<br \/>\nHence, the mean of the first five positive numbers is 3.<br \/>\n(ii) Given list of observations are 4, 11, 3, 5, 10, 15, 40<br \/>\nTo find the mean, use the mean formula and apply the given observations;<br \/>\nMean = Sum of Observations \u00f7 Number of Observations<br \/>\n= 4+11+3+5+10+15+40 \u00f7 7<br \/>\n= 88 \u00f7 7<br \/>\n= 12.57(approx)<\/p>\n<\/details>\n<hr \/>\n<p><strong>Example 3:<\/strong><\/p>\n<p>In the annual board exams in mathematics, 5 students scored 80 marks, 8 students scored 75 marks, 10 students scored 65 marks and 2 students scored 55 marks. Find the mean of their score.<\/p>\n<details open=\"open\">\n<summary><strong>Solution:<\/strong><\/summary>\n<p>Given that,<br \/>\nNumber of students scored 80 marks\u00a0 =\u00a0 5<br \/>\nNumber of students scored 75 marks\u00a0 =\u00a0 8<br \/>\nNumber of students scored 65 marks\u00a0 =\u00a0 10<br \/>\nNumber of students scored 55 marks\u00a0 =\u00a0 2<br \/>\nMean = [5(80) + 8(75) + 10(65) + 2(55)] \/ (5 + 8 + 10 + 2)<br \/>\n= 1760 \/ 25<br \/>\n= 70.4<\/p>\n<\/details>\n<hr \/>\n<p><strong>Example 4:<\/strong><\/p>\n<p>The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds respectively. What is the weight of the fifth computer station?<\/p>\n<details>\n<summary><strong>Solution:<\/strong><\/summary>\n<p>Given Mean weight of five computer stations = 167.2 pounds<br \/>\nTo find the weight of the fifth computer station, use the mean formula<br \/>\nLet the fifth weight of computer stations be x.<br \/>\nMean = Sum of weights \/ Number of weights<br \/>\n167.2 = 158.4+162.8+165+178.2+x \/ 5<br \/>\n167.2*5 = 664.4 + x<br \/>\n664.4 + x = 836<br \/>\nx = 836 &#8211; 664.4<br \/>\nx = 171.6 pounds<br \/>\nHence, the weight of the fifth computer station is 171.6 pounds.<\/p>\n<\/details>\n<hr \/>\n<p><strong>Example 5:<\/strong><\/p>\n<p>The mean height of 4 members of a family is 5.5. Three of them have heights of 5.6, 6.0, and 5.2. Find the height of the fourth member.<\/p>\n<details>\n<summary><strong>Solution:<\/strong><\/summary>\n<p>Given heights of family members are 5.6, 6.0, 5.2<br \/>\nMean height of 4 members of a family = 5.5<br \/>\nLet the fourth member height would be x<br \/>\nTo find the fourth height x, apply the mean formula<br \/>\nMean = sum of observations \/ number of observations<br \/>\n5.5 = 5.6+6.0+5.2+x \/ 4<br \/>\n5.5 * 4 = 16.8+x<br \/>\n16.8 + x = 22<br \/>\nx = 22-16.8<br \/>\nx = 5.2<br \/>\nHence, the height of the fourth member is 5.2<\/p>\n<\/details>\n<hr \/>\n<p><strong>Example 6:<\/strong><\/p>\n<p>The following data represent the number of pop-up advertisements received by 8 families during the past month. Determine the mean number of advertisements received by each family during the month.<br \/>\n20 25 30 25 40 45 50 55<\/p>\n<details>\n<summary><strong>Solution:<\/strong><\/summary>\n<p>Given data is 20 25 30 25 40 45 50 55<br \/>\nMean = Sum of data \/ Total number of data<br \/>\n= 20+25+30+35+40+45+50+55 \/ 8<br \/>\n= 300\/8<br \/>\n= 37.5<\/p>\n<\/details>\n<hr \/>\n<p><strong>Example 7:\u00a0<\/strong><\/p>\n<p>In a week, the temperature of a certain place is measured during winter are as follows 24\u00baC, 28\u00baC, 22\u00baC, 18\u00baC, 30\u00baC, 26\u00baC, 22\u00baC. Find the mean temperature of the week.<\/p>\n<details open=\"open\">\n<summary><strong>Solution:<\/strong><\/summary>\n<p>Given temperatures are 24\u00baC, 28\u00baC, 22\u00baC, 18\u00baC, 30\u00baC, 26\u00baC, 22\u00baC<br \/>\nMean temperature = Sum of all temperature \/ Number of terms<br \/>\n= 24\u00baC+28\u00baC+22\u00baC+18\u00baC+30\u00baC+26\u00baC+22\u00baC \/ 7<br \/>\n= 170 \/ 7<br \/>\n= 24.28 (approx)<\/p>\n<\/details>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>Mean is the most commonly used central tendency measure. In Mathematics, there are various types of means but in Statistics, the mean is the sum of observations divided by the total number of observations. Also, there are other names for mean like arithmetic mean, average. Practicing Mean of Raw Data word problems can make you &#8230; <a title=\"Worksheet on Mean of Ungrouped Data | Activity Sheet on Finding Mean Practice Problems and Solutions PDF\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/worksheet-on-mean-of-ungrouped-data\/\" aria-label=\"More on Worksheet on Mean of Ungrouped Data | Activity Sheet on Finding Mean Practice Problems and Solutions PDF\">Read more<\/a><\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/143736"}],"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\/14"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=143736"}],"version-history":[{"count":2,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/143736\/revisions"}],"predecessor-version":[{"id":143739,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/143736\/revisions\/143739"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=143736"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=143736"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=143736"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}