{"id":10379,"date":"2017-05-26T18:52:42","date_gmt":"2017-05-26T18:52:42","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=10379"},"modified":"2017-12-22T18:19:17","modified_gmt":"2017-12-22T18:19:17","slug":"calculating-the-mean-of-a-set-of-numbers","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/calculating-the-mean-of-a-set-of-numbers\/","title":{"raw":"Calculating the Mean of a Set of Numbers","rendered":"Calculating the Mean of a Set of Numbers"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Find the mean of a set of numbers<\/li>\r\n<\/ul>\r\n<\/div>\r\n<p data-type=\"title\">The mean is often called the arithmetic average. It is computed by dividing the sum of the values by the number of values. Students want to know the mean of their test scores. Climatologists report that the mean temperature has, or has not, changed. City planners are interested in the mean household size.<\/p>\r\n<p data-type=\"title\">Suppose Ethan\u2019s first three test scores were [latex]85,88,\\text{and }94[\/latex]. To find the mean score, he would add them and divide by [latex]3[\/latex].<\/p>\r\n<p style=\"text-align: center;\">[latex]\\begin{array}{}\\\\ {\\Large\\frac{85+88+94}{3}}=\\\\ {\\Large\\frac{267}{3}}=\\\\ 89\\end{array}[\/latex]<\/p>\r\nHis mean test score is [latex]89[\/latex] points.\r\n<div class=\"textbox shaded\">\r\n<h3>The Mean<\/h3>\r\nThe mean of a set of [latex]n[\/latex] numbers is the arithmetic average of the numbers.\r\n\r\n[latex]\\text{mean}={\\Large\\frac{\\text{sum of values in data set}}{n}}[\/latex]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox shaded\">\r\n<h3>Calculate the mean of a set of numbers.<\/h3>\r\n<ol id=\"eip-id1168468272241\" class=\"stepwise\" data-number-style=\"arabic\">\r\n \t<li>Write the formula for the mean\r\n[latex]\\text{mean}={\\Large\\frac{\\text{sum of values in data set}}{n}}[\/latex]<\/li>\r\n \t<li>Find the sum of all the values in the set. Write the sum in the numerator.<\/li>\r\n \t<li>Count the number, [latex]n[\/latex], of values in the set. Write this number in the denominator.<\/li>\r\n \t<li>Simplify the fraction.<\/li>\r\n \t<li>Check to see that the mean is reasonable. It should be greater than the least number and less than the greatest number in the set.<\/li>\r\n<\/ol>\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nFind the mean of the numbers [latex]8,12,15,9,\\text{ and }6[\/latex].\r\n\r\nSolution\r\n<table id=\"eip-id1168467435661\" class=\"unnumbered unstyled\" style=\"width: 859px;\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr style=\"height: 30px;\">\r\n<td style=\"width: 501.9px; height: 30px;\">Write the formula for the mean:<\/td>\r\n<td style=\"width: 333.1px; height: 30px;\">[latex]\\text{mean}={\\Large\\frac{\\text{sum of all the numbers}}{n}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 30px;\">\r\n<td style=\"width: 501.9px; height: 30px;\">Write the sum of the numbers in the numerator.<\/td>\r\n<td style=\"width: 333.1px; height: 30px;\">[latex]\\text{mean}={\\Large\\frac{8+12+15+9+6}{n}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 30px;\">\r\n<td style=\"width: 501.9px; height: 30px;\">Count how many numbers are in the set. There are [latex]5[\/latex] numbers in the set, so [latex]n=5[\/latex] .<\/td>\r\n<td style=\"width: 333.1px; height: 30px;\">[latex]\\text{mean}={\\Large\\frac{8+12+15+9+6}{5}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;\">\r\n<td style=\"width: 501.9px; height: 15px;\">Add the numbers in the numerator.<\/td>\r\n<td style=\"width: 333.1px; height: 15px;\">[latex]\\text{mean}={\\Large\\frac{50}{5}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px;\">\r\n<td style=\"width: 501.9px; height: 15px;\">Then divide.<\/td>\r\n<td style=\"width: 333.1px; height: 15px;\">[latex]\\text{mean}=10[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 30.8281px;\">\r\n<td style=\"width: 501.9px; height: 30.8281px;\">Check to see that the mean is 'typical': [latex]10[\/latex] is neither less than [latex]6[\/latex] nor greater than [latex]15[\/latex].<\/td>\r\n<td style=\"width: 333.1px; height: 30.8281px;\">The mean is [latex]10[\/latex].<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146388[\/ohm_question]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nThe ages of the members of a family who got together for a birthday celebration were [latex]16,26,53,56,65,70,93,\\text{ and }97[\/latex] years. Find the mean age.\r\n[reveal-answer q=\"363461\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"363461\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168469392811\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>Write the formula for the mean:<\/td>\r\n<td>[latex]\\text{mean}=\\Large\\frac{\\text{sum of all the numbers}}{n}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write the sum of the numbers in the numerator.<\/td>\r\n<td>[latex]\\text{mean}={\\Large\\frac{16+26+53+56+65+70+93+97}{n}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Count how many numbers are in the set. Call this [latex]n[\/latex] and write it in the denominator.<\/td>\r\n<td>[latex]\\text{mean}={\\Large\\frac{16+26+53+56+65+70+93+97}{8}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the fraction.<\/td>\r\n<td>[latex]\\text{mean}={\\Large\\frac{476}{8}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>[latex]\\text{mean}=59.5[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nIs [latex]59.5[\/latex] \u2018typical\u2019? Yes, it is neither less than [latex]16[\/latex] nor greater than [latex]97[\/latex]. The mean age is [latex]59.5[\/latex] years.\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146389[\/ohm_question]\r\n\r\n<\/div>\r\nDid you notice that in the last example, while all the numbers were whole numbers, the mean was [latex]59.5[\/latex], a number with one decimal place? It is customary to report the mean to one more decimal place than the original numbers. In the next example, all the numbers represent money, and it will make sense to report the mean in dollars and cents.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nFor the past four months, Daisy\u2019s cell phone bills were [latex]\\text{\\$42.75},\\text{\\$50.12},\\text{\\$41.54},\\text{\\$48.15}[\/latex]. Find the mean cost of Daisy\u2019s cell phone bills.\r\n[reveal-answer q=\"42782\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"42782\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168469762854\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>Write the formula for the mean.<\/td>\r\n<td>[latex]\\text{mean}=\\Large\\frac{\\text{sum of all the numbers}}{n}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Count how many numbers are in the set. Call this [latex]n[\/latex] and write it in the denominator.<\/td>\r\n<td>[latex]\\text{mean}={\\Large\\frac{\\text{sum of all the numbers}}{4}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write the sum of all the numbers in the numerator.<\/td>\r\n<td>[latex]\\text{mean}={\\Large\\frac{42.75+50.12+41.54+48.15}{4}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify the fraction.<\/td>\r\n<td>[latex]\\text{mean}={\\Large\\frac{182.56}{4}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td>[latex]\\text{mean}=45.64[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nDoes [latex]\\text{\\$45.64}[\/latex] seem \u2018typical\u2019 of this set of numbers? Yes, it is neither less than [latex]\\text{\\$41.54}[\/latex] nor greater than [latex]\\text{\\$50.12}[\/latex].\r\n\r\nThe mean cost of her cell phone bill was [latex]\\text{\\$45.64}[\/latex]\r\n\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>TRY\u00a0IT<\/h3>\r\n[ohm_question]146394[\/ohm_question]\r\n\r\n[ohm_question]146390[\/ohm_question]\r\n\r\n<\/div>\r\nIn the next video we show an example of how to find the mean of a set of test scores.\r\n\r\nhttps:\/\/youtu.be\/0io9U8Jcjeo","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Find the mean of a set of numbers<\/li>\n<\/ul>\n<\/div>\n<p data-type=\"title\">The mean is often called the arithmetic average. It is computed by dividing the sum of the values by the number of values. Students want to know the mean of their test scores. Climatologists report that the mean temperature has, or has not, changed. City planners are interested in the mean household size.<\/p>\n<p data-type=\"title\">Suppose Ethan\u2019s first three test scores were [latex]85,88,\\text{and }94[\/latex]. To find the mean score, he would add them and divide by [latex]3[\/latex].<\/p>\n<p style=\"text-align: center;\">[latex]\\begin{array}{}\\\\ {\\Large\\frac{85+88+94}{3}}=\\\\ {\\Large\\frac{267}{3}}=\\\\ 89\\end{array}[\/latex]<\/p>\n<p>His mean test score is [latex]89[\/latex] points.<\/p>\n<div class=\"textbox shaded\">\n<h3>The Mean<\/h3>\n<p>The mean of a set of [latex]n[\/latex] numbers is the arithmetic average of the numbers.<\/p>\n<p>[latex]\\text{mean}={\\Large\\frac{\\text{sum of values in data set}}{n}}[\/latex]<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox shaded\">\n<h3>Calculate the mean of a set of numbers.<\/h3>\n<ol id=\"eip-id1168468272241\" class=\"stepwise\" data-number-style=\"arabic\">\n<li>Write the formula for the mean<br \/>\n[latex]\\text{mean}={\\Large\\frac{\\text{sum of values in data set}}{n}}[\/latex]<\/li>\n<li>Find the sum of all the values in the set. Write the sum in the numerator.<\/li>\n<li>Count the number, [latex]n[\/latex], of values in the set. Write this number in the denominator.<\/li>\n<li>Simplify the fraction.<\/li>\n<li>Check to see that the mean is reasonable. It should be greater than the least number and less than the greatest number in the set.<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Find the mean of the numbers [latex]8,12,15,9,\\text{ and }6[\/latex].<\/p>\n<p>Solution<\/p>\n<table id=\"eip-id1168467435661\" class=\"unnumbered unstyled\" style=\"width: 859px;\" summary=\".\" data-label=\"\">\n<tbody>\n<tr style=\"height: 30px;\">\n<td style=\"width: 501.9px; height: 30px;\">Write the formula for the mean:<\/td>\n<td style=\"width: 333.1px; height: 30px;\">[latex]\\text{mean}={\\Large\\frac{\\text{sum of all the numbers}}{n}}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"width: 501.9px; height: 30px;\">Write the sum of the numbers in the numerator.<\/td>\n<td style=\"width: 333.1px; height: 30px;\">[latex]\\text{mean}={\\Large\\frac{8+12+15+9+6}{n}}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 30px;\">\n<td style=\"width: 501.9px; height: 30px;\">Count how many numbers are in the set. There are [latex]5[\/latex] numbers in the set, so [latex]n=5[\/latex] .<\/td>\n<td style=\"width: 333.1px; height: 30px;\">[latex]\\text{mean}={\\Large\\frac{8+12+15+9+6}{5}}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 15px;\">\n<td style=\"width: 501.9px; height: 15px;\">Add the numbers in the numerator.<\/td>\n<td style=\"width: 333.1px; height: 15px;\">[latex]\\text{mean}={\\Large\\frac{50}{5}}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 15px;\">\n<td style=\"width: 501.9px; height: 15px;\">Then divide.<\/td>\n<td style=\"width: 333.1px; height: 15px;\">[latex]\\text{mean}=10[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 30.8281px;\">\n<td style=\"width: 501.9px; height: 30.8281px;\">Check to see that the mean is &#8216;typical&#8217;: [latex]10[\/latex] is neither less than [latex]6[\/latex] nor greater than [latex]15[\/latex].<\/td>\n<td style=\"width: 333.1px; height: 30.8281px;\">The mean is [latex]10[\/latex].<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146388\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146388&theme=oea&iframe_resize_id=ohm146388&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>The ages of the members of a family who got together for a birthday celebration were [latex]16,26,53,56,65,70,93,\\text{ and }97[\/latex] years. Find the mean age.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q363461\">Show Solution<\/span><\/p>\n<div id=\"q363461\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168469392811\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>Write the formula for the mean:<\/td>\n<td>[latex]\\text{mean}=\\Large\\frac{\\text{sum of all the numbers}}{n}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write the sum of the numbers in the numerator.<\/td>\n<td>[latex]\\text{mean}={\\Large\\frac{16+26+53+56+65+70+93+97}{n}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Count how many numbers are in the set. Call this [latex]n[\/latex] and write it in the denominator.<\/td>\n<td>[latex]\\text{mean}={\\Large\\frac{16+26+53+56+65+70+93+97}{8}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the fraction.<\/td>\n<td>[latex]\\text{mean}={\\Large\\frac{476}{8}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>[latex]\\text{mean}=59.5[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Is [latex]59.5[\/latex] \u2018typical\u2019? Yes, it is neither less than [latex]16[\/latex] nor greater than [latex]97[\/latex]. The mean age is [latex]59.5[\/latex] years.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146389\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146389&theme=oea&iframe_resize_id=ohm146389&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>Did you notice that in the last example, while all the numbers were whole numbers, the mean was [latex]59.5[\/latex], a number with one decimal place? It is customary to report the mean to one more decimal place than the original numbers. In the next example, all the numbers represent money, and it will make sense to report the mean in dollars and cents.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>For the past four months, Daisy\u2019s cell phone bills were [latex]\\text{\\$42.75},\\text{\\$50.12},\\text{\\$41.54},\\text{\\$48.15}[\/latex]. Find the mean cost of Daisy\u2019s cell phone bills.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q42782\">Show Solution<\/span><\/p>\n<div id=\"q42782\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168469762854\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>Write the formula for the mean.<\/td>\n<td>[latex]\\text{mean}=\\Large\\frac{\\text{sum of all the numbers}}{n}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Count how many numbers are in the set. Call this [latex]n[\/latex] and write it in the denominator.<\/td>\n<td>[latex]\\text{mean}={\\Large\\frac{\\text{sum of all the numbers}}{4}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write the sum of all the numbers in the numerator.<\/td>\n<td>[latex]\\text{mean}={\\Large\\frac{42.75+50.12+41.54+48.15}{4}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify the fraction.<\/td>\n<td>[latex]\\text{mean}={\\Large\\frac{182.56}{4}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>[latex]\\text{mean}=45.64[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Does [latex]\\text{\\$45.64}[\/latex] seem \u2018typical\u2019 of this set of numbers? Yes, it is neither less than [latex]\\text{\\$41.54}[\/latex] nor greater than [latex]\\text{\\$50.12}[\/latex].<\/p>\n<p>The mean cost of her cell phone bill was [latex]\\text{\\$45.64}[\/latex]<\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>TRY\u00a0IT<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146394\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146394&theme=oea&iframe_resize_id=ohm146394&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146390\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146390&theme=oea&iframe_resize_id=ohm146390&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>In the next video we show an example of how to find the mean of a set of test scores.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex:  Find the Mean of a Data Set\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/0io9U8Jcjeo?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-10379\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Question ID 146390, 146394, 146389, 146388. <strong>Authored by<\/strong>: Lumen Learning. <strong>Provided by<\/strong>: q. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Ex: Find the Mean of a Data Set. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/0io9U8Jcjeo\">https:\/\/youtu.be\/0io9U8Jcjeo<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":17533,"menu_order":3,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Ex: Find the Mean of a Data Set\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/0io9U8Jcjeo\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Question ID 146390, 146394, 146389, 146388\",\"author\":\"Lumen Learning\",\"organization\":\"q\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"bccb45af-270f-4d34-bb79-dd85b133bf6c","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-10379","chapter","type-chapter","status-publish","hentry"],"part":13985,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10379","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":17,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10379\/revisions"}],"predecessor-version":[{"id":15600,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10379\/revisions\/15600"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/13985"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/10379\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=10379"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=10379"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=10379"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=10379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}