{"id":40,"date":"2022-05-20T16:59:04","date_gmt":"2022-05-20T16:59:04","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/interpreting-the-mean-and-median-of-a-dataset-corequisite-support-activity\/"},"modified":"2022-08-09T19:55:14","modified_gmt":"2022-08-09T19:55:14","slug":"interpreting-the-mean-and-median-of-a-dataset-corequisite-support-activity","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/interpreting-the-mean-and-median-of-a-dataset-corequisite-support-activity\/","title":{"raw":"Interpreting the Mean and Median of a Data Set: Background You'll Need 1","rendered":"Interpreting the Mean and Median of a Data Set: Background You&#8217;ll Need 1"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Goals<\/h3>\r\nIn this support activity you'll become familiar with the following:\r\n<ul>\r\n \t<li><a href=\"#CompareMeanMedian\">Compare and interpret the mean and median of different data sets.<\/a><\/li>\r\n<\/ul>\r\nYou will also have an opportunity to refresh the following skills:\r\n<ul>\r\n \t<li><a href=\"#name\">Recall the definitions of mean and median.<\/a><\/li>\r\n \t<li><a href=\"#CalcMedian\">Calculate the median of a data set by hand.<\/a><\/li>\r\n \t<li><a href=\"#CalcMean\">Calculate the mean of a data set by hand.<\/a><\/li>\r\n<\/ul>\r\n<\/div>\r\nThis support activity will give you more practice calculating mean and median and how to interpret comparisons of mean and median.\r\n\r\nIn\u00a0<a href=\"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/what-to-know-about-4a\/\"><em>Calculating Mean and Median of a Data Set: What to Know<\/em><\/a>, you had a chance to calculate the mean and median of a small data set by hand. As you work through this activity, return to that section as needed to refresh the formula and the process.\r\n<div class=\"textbox examples\">\r\n<h3>Recall<\/h3>\r\nBefore you begin, recall the definitions of mean and median.\r\n\r\nCore skill:\u00a0[reveal-answer q=\"574698\"]Recall the definition of the mean of a set of values.[\/reveal-answer]\r\n[hidden-answer a=\"574698\"]\r\n\r\nThe <strong>mean<\/strong> is what we think of as the \"average\" of a set of numbers. It is the sum of the entire set divided by the number of values present.[\/hidden-answer]\r\n\r\nCore skill:\r\n[reveal-answer q=\"702003\"]Recall the definition of the median of a set of values.[\/reveal-answer]\r\n[hidden-answer a=\"702003\"]The <strong>median<\/strong> is the middle-most value after placing all the values in numerical order. For an even-numbered set of values, the median will be the average of the two middle values.[\/hidden-answer]\r\n\r\n<\/div>\r\nIn this activity, we'll be using the two data sets listed below. Suppose that the first data set lists the monthly salaries (in thousands of dollars) for all six employees at a company during the month of January. For example, Employee [latex]1[\/latex] made [latex]\\$4,000[\/latex] in salary in January, Employee [latex]2[\/latex] made [latex]\\$6,000[\/latex], and so on. We'll consider this amount the regular salary per month for each of these employees.\u00a0The second data set lists the monthly salaries (in thousands of dollars) for the same six employees during the month of February.\r\n\r\nCan you locate which employee got the raise?\r\n<div align=\"center\">\r\n<table style=\"height: 149px; width: 559px;\">\r\n<tbody>\r\n<tr style=\"height: 65px;\">\r\n<td style=\"text-align: center; height: 65px; width: 82px;\"><strong>Employee<\/strong><\/td>\r\n<td style=\"height: 65px; width: 190px;\">\r\n<p style=\"text-align: center;\"><strong>Monthly Salary in January<\/strong><\/p>\r\n<p style=\"text-align: center;\"><strong>(in thousands of dollars)<\/strong><\/p>\r\n<\/td>\r\n<td style=\"height: 131px; width: 287px;\">\r\n<p style=\"text-align: center;\"><strong>Monthly Salary in February<\/strong><\/p>\r\n<p style=\"text-align: center;\"><strong>(in thousands of dollars)<\/strong><\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 1<\/strong><\/td>\r\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]4[\/latex]<\/td>\r\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]4[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 2<\/strong><\/td>\r\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]6[\/latex]<\/td>\r\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]8[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 3<\/strong><\/td>\r\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]3[\/latex]<\/td>\r\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 4<\/strong><\/td>\r\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]5[\/latex]<\/td>\r\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 5<\/strong><\/td>\r\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]6[\/latex]<\/td>\r\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]6[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 14px;\">\r\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 6<\/strong><\/td>\r\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]3[\/latex]<\/td>\r\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]3[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<div align=\"center\"><\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 1<\/h3>\r\n[ohm_question hide_question_numbers=1]241070[\/ohm_question]\r\n\r\n[reveal-answer q=\"602799\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"602799\"]Which employee received the raise in February?[\/hidden-answer]\r\n\r\n<\/div>\r\n<h2 id=\"CalcMedian\">Calculating Median<\/h2>\r\nNow, let's look at the first data set only: The monthly salaries (in thousands of dollars) for all six employees at a company during the month of January.\r\n<div class=\"textbox examples\">\r\n<h3>Recall<\/h3>\r\nTo answer the question below, you'll need to calculate the median of a data set containing an even number of values. You can refresh that information here if needed.\r\n\r\nCore skill:\u00a0[reveal-answer q=\"575947\"]Calculate the median of an even-numbered set of values.[\/reveal-answer]\r\n[hidden-answer a=\"575947\"]\r\n\r\nWhen there are an even number of values, the median is the mean of the middle two values.\r\n\r\nEx. Consider the set\u00a0[latex]1, 2, 3 4[\/latex].\r\n\r\nTo find the median, we want to find the \"middle-most\" number. If you imagine these numbers placed on a number line, where would the \"middle-most\" location of the set be?\r\n<p style=\"text-align: center;\">[latex]1 \\qquad2 \\qquad3 \\qquad4 \\qquad[\/latex]<\/p>\r\nCertainly, it must fall evenly between the\u00a0[latex]2[\/latex] and the\u00a0[latex]3[\/latex].\r\n\r\nWhat number is halfway between\u00a0[latex]2[\/latex] and\u00a0[latex]3[\/latex]? It would be either [latex]2+\\frac{1}{2}[\/latex] or [latex]3-\\frac{1}{2}[\/latex]. Either way, that's\u00a0[latex]2.5[\/latex].\r\n\r\nLet's verify that using the process to find the median of a data set with an even number of values.\r\n\r\nThe middle two numbers are\u00a0[latex]2[\/latex] and\u00a0[latex]3[\/latex]. Let's take their mean.\r\n\r\n[latex]\\dfrac{2+3}{2}=\\dfrac{5}{2}=2.5[\/latex]\r\n\r\nNow you try it by answering Question 2 below.\r\n<p style=\"text-align: left;\">[\/hidden-answer]<\/p>\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 2<\/h3>\r\n[ohm_question hide_question_numbers=1]241071[\/ohm_question]\r\n\r\n[reveal-answer q=\"347645\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"347645\"]See the Recall box above to refresh the process. Don't forget to interpret the value in context, using units.[\/hidden-answer]\r\n\r\n<\/div>\r\nLet's use technology to verify the result you obtained for the median in Question 2.\r\n<div class=\"textbox\">\r\n\r\nGo to the Describing and Exploring Quantitative Variables tool at <a href=\"https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/\" target=\"_blank\" rel=\"noopener\">https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/<\/a> and confirm your answer using the online tool.\r\n<p style=\"padding-left: 30px;\">Step 1) Select the <strong>Single Group<\/strong> tab.<\/p>\r\n<p style=\"padding-left: 30px;\">Step 2) Locate the drop-down menu under <strong>Enter Data<\/strong> and select <strong>Your Own<\/strong>.<\/p>\r\n<p style=\"padding-left: 30px;\">Step 3) Under\u00a0<strong>Do you have,\u00a0<\/strong>select\u00a0<strong>Individual Observations<\/strong>.<\/p>\r\n<p style=\"padding-left: 30px;\">Step 4) Under <strong>Name of Variable<\/strong>, type \"January Salaries (in thousands $)\".<\/p>\r\n<p style=\"padding-left: 30px;\">Step 5) Under <strong>Enter observations<\/strong>, enter the data list, separated by spaces: \u201c4 6 3 5 6 3.\u201d The median will be among the Descriptive Statistics listed in the tool.<\/p>\r\n\r\n<\/div>\r\nHow did you do? Did your calculation match the one in the tool? Now consider what the median implies about the data. Remember that we think of the median as the 50th percentile.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 3<\/h3>\r\n[ohm_question hide_question_numbers=1]241072[\/ohm_question]\r\n\r\n[reveal-answer q=\"854456\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"854456\"]Remember that the median is the\u00a0[latex]50[\/latex]<sup>th<\/sup> percentile, and splits the data in half.[\/hidden-answer]\r\n\r\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Goals<\/h3>\n<p>In this support activity you&#8217;ll become familiar with the following:<\/p>\n<ul>\n<li><a href=\"#CompareMeanMedian\">Compare and interpret the mean and median of different data sets.<\/a><\/li>\n<\/ul>\n<p>You will also have an opportunity to refresh the following skills:<\/p>\n<ul>\n<li><a href=\"#name\">Recall the definitions of mean and median.<\/a><\/li>\n<li><a href=\"#CalcMedian\">Calculate the median of a data set by hand.<\/a><\/li>\n<li><a href=\"#CalcMean\">Calculate the mean of a data set by hand.<\/a><\/li>\n<\/ul>\n<\/div>\n<p>This support activity will give you more practice calculating mean and median and how to interpret comparisons of mean and median.<\/p>\n<p>In\u00a0<a href=\"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/what-to-know-about-4a\/\"><em>Calculating Mean and Median of a Data Set: What to Know<\/em><\/a>, you had a chance to calculate the mean and median of a small data set by hand. As you work through this activity, return to that section as needed to refresh the formula and the process.<\/p>\n<div class=\"textbox examples\">\n<h3>Recall<\/h3>\n<p>Before you begin, recall the definitions of mean and median.<\/p>\n<p>Core skill:\u00a0<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q574698\">Recall the definition of the mean of a set of values.<\/span><\/p>\n<div id=\"q574698\" class=\"hidden-answer\" style=\"display: none\">\n<p>The <strong>mean<\/strong> is what we think of as the &#8220;average&#8221; of a set of numbers. It is the sum of the entire set divided by the number of values present.<\/div>\n<\/div>\n<p>Core skill:<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q702003\">Recall the definition of the median of a set of values.<\/span><\/p>\n<div id=\"q702003\" class=\"hidden-answer\" style=\"display: none\">The <strong>median<\/strong> is the middle-most value after placing all the values in numerical order. For an even-numbered set of values, the median will be the average of the two middle values.<\/div>\n<\/div>\n<\/div>\n<p>In this activity, we&#8217;ll be using the two data sets listed below. Suppose that the first data set lists the monthly salaries (in thousands of dollars) for all six employees at a company during the month of January. For example, Employee [latex]1[\/latex] made [latex]\\$4,000[\/latex] in salary in January, Employee [latex]2[\/latex] made [latex]\\$6,000[\/latex], and so on. We&#8217;ll consider this amount the regular salary per month for each of these employees.\u00a0The second data set lists the monthly salaries (in thousands of dollars) for the same six employees during the month of February.<\/p>\n<p>Can you locate which employee got the raise?<\/p>\n<div style=\"margin: auto;\">\n<table style=\"height: 149px; width: 559px;\">\n<tbody>\n<tr style=\"height: 65px;\">\n<td style=\"text-align: center; height: 65px; width: 82px;\"><strong>Employee<\/strong><\/td>\n<td style=\"height: 65px; width: 190px;\">\n<p style=\"text-align: center;\"><strong>Monthly Salary in January<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>(in thousands of dollars)<\/strong><\/p>\n<\/td>\n<td style=\"height: 131px; width: 287px;\">\n<p style=\"text-align: center;\"><strong>Monthly Salary in February<\/strong><\/p>\n<p style=\"text-align: center;\"><strong>(in thousands of dollars)<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 1<\/strong><\/td>\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]4[\/latex]<\/td>\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]4[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 2<\/strong><\/td>\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]6[\/latex]<\/td>\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]8[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 3<\/strong><\/td>\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]3[\/latex]<\/td>\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]3[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 4<\/strong><\/td>\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]5[\/latex]<\/td>\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]5[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 5<\/strong><\/td>\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]6[\/latex]<\/td>\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]6[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 14px;\">\n<td style=\"text-align: center; height: 14px; width: 82px;\"><strong>Employee 6<\/strong><\/td>\n<td style=\"text-align: center; height: 14px; width: 190px;\">[latex]3[\/latex]<\/td>\n<td style=\"text-align: center; height: 14px; width: 287px;\">[latex]3[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div style=\"margin: auto;\"><\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 1<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241070\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241070&theme=oea&iframe_resize_id=ohm241070\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q602799\">Hint<\/span><\/p>\n<div id=\"q602799\" class=\"hidden-answer\" style=\"display: none\">Which employee received the raise in February?<\/div>\n<\/div>\n<\/div>\n<h2 id=\"CalcMedian\">Calculating Median<\/h2>\n<p>Now, let&#8217;s look at the first data set only: The monthly salaries (in thousands of dollars) for all six employees at a company during the month of January.<\/p>\n<div class=\"textbox examples\">\n<h3>Recall<\/h3>\n<p>To answer the question below, you&#8217;ll need to calculate the median of a data set containing an even number of values. You can refresh that information here if needed.<\/p>\n<p>Core skill:\u00a0<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q575947\">Calculate the median of an even-numbered set of values.<\/span><\/p>\n<div id=\"q575947\" class=\"hidden-answer\" style=\"display: none\">\n<p>When there are an even number of values, the median is the mean of the middle two values.<\/p>\n<p>Ex. Consider the set\u00a0[latex]1, 2, 3 4[\/latex].<\/p>\n<p>To find the median, we want to find the &#8220;middle-most&#8221; number. If you imagine these numbers placed on a number line, where would the &#8220;middle-most&#8221; location of the set be?<\/p>\n<p style=\"text-align: center;\">[latex]1 \\qquad2 \\qquad3 \\qquad4 \\qquad[\/latex]<\/p>\n<p>Certainly, it must fall evenly between the\u00a0[latex]2[\/latex] and the\u00a0[latex]3[\/latex].<\/p>\n<p>What number is halfway between\u00a0[latex]2[\/latex] and\u00a0[latex]3[\/latex]? It would be either [latex]2+\\frac{1}{2}[\/latex] or [latex]3-\\frac{1}{2}[\/latex]. Either way, that&#8217;s\u00a0[latex]2.5[\/latex].<\/p>\n<p>Let&#8217;s verify that using the process to find the median of a data set with an even number of values.<\/p>\n<p>The middle two numbers are\u00a0[latex]2[\/latex] and\u00a0[latex]3[\/latex]. Let&#8217;s take their mean.<\/p>\n<p>[latex]\\dfrac{2+3}{2}=\\dfrac{5}{2}=2.5[\/latex]<\/p>\n<p>Now you try it by answering Question 2 below.<\/p>\n<p style=\"text-align: left;\"><\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 2<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241071\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241071&theme=oea&iframe_resize_id=ohm241071\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q347645\">Hint<\/span><\/p>\n<div id=\"q347645\" class=\"hidden-answer\" style=\"display: none\">See the Recall box above to refresh the process. Don&#8217;t forget to interpret the value in context, using units.<\/div>\n<\/div>\n<\/div>\n<p>Let&#8217;s use technology to verify the result you obtained for the median in Question 2.<\/p>\n<div class=\"textbox\">\n<p>Go to the Describing and Exploring Quantitative Variables tool at <a href=\"https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/\" target=\"_blank\" rel=\"noopener\">https:\/\/dcmathpathways.shinyapps.io\/EDA_quantitative\/<\/a> and confirm your answer using the online tool.<\/p>\n<p style=\"padding-left: 30px;\">Step 1) Select the <strong>Single Group<\/strong> tab.<\/p>\n<p style=\"padding-left: 30px;\">Step 2) Locate the drop-down menu under <strong>Enter Data<\/strong> and select <strong>Your Own<\/strong>.<\/p>\n<p style=\"padding-left: 30px;\">Step 3) Under\u00a0<strong>Do you have,\u00a0<\/strong>select\u00a0<strong>Individual Observations<\/strong>.<\/p>\n<p style=\"padding-left: 30px;\">Step 4) Under <strong>Name of Variable<\/strong>, type &#8220;January Salaries (in thousands $)&#8221;.<\/p>\n<p style=\"padding-left: 30px;\">Step 5) Under <strong>Enter observations<\/strong>, enter the data list, separated by spaces: \u201c4 6 3 5 6 3.\u201d The median will be among the Descriptive Statistics listed in the tool.<\/p>\n<\/div>\n<p>How did you do? Did your calculation match the one in the tool? Now consider what the median implies about the data. Remember that we think of the median as the 50th percentile.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>question 3<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241072\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241072&theme=oea&iframe_resize_id=ohm241072\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q854456\">Hint<\/span><\/p>\n<div id=\"q854456\" class=\"hidden-answer\" style=\"display: none\">Remember that the median is the\u00a0[latex]50[\/latex]<sup>th<\/sup> percentile, and splits the data in half.<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":17533,"menu_order":28,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-40","chapter","type-chapter","status-publish","hentry"],"part":20,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/40","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":6,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/40\/revisions"}],"predecessor-version":[{"id":599,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/40\/revisions\/599"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/parts\/20"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/40\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/media?parent=40"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapter-type?post=40"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/contributor?post=40"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/license?post=40"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}