{"id":853,"date":"2023-03-20T19:17:30","date_gmt":"2023-03-20T19:17:30","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/interpreting-the-mean-and-median-of-a-data-set-learn-it-2\/"},"modified":"2024-02-27T20:41:15","modified_gmt":"2024-02-27T20:41:15","slug":"interpreting-the-mean-and-median-of-a-data-set-learn-it-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/interpreting-the-mean-and-median-of-a-data-set-learn-it-2\/","title":{"raw":"Interpreting the Mean and Median: Learn It 2","rendered":"Interpreting the Mean and Median: Learn It 2"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Name the features of the distribution of a data set using statistical language<\/li>\r\n\t<li>Describe the connection between the distribution of a data set and its mean and median<\/li>\r\n<\/ul>\r\n<\/section>\r\n<div align=\"left\">\r\n<p><span style=\"font-size: 1rem; text-align: initial;\">Let's use technology to analyze this data set.<\/span><\/p>\r\n<section class=\"textbox interact\">Go to the <em>Describing and Exploring Quantitative Variables<\/em> tool\r\n\r\n<p style=\"padding-left: 30px;\"><strong>Step 1:<\/strong>\u00a0Select the <strong>Single Group<\/strong> tab.<\/p>\r\n<p style=\"padding-left: 30px;\"><strong>Step 2:<\/strong>\u00a0Locate the drop-down menu under <strong>Enter Data<\/strong> and select <strong>Your Own<\/strong>.<\/p>\r\n<p style=\"padding-left: 30px;\"><strong>Step 3:<\/strong>\u00a0Under\u00a0<strong>Do you have<\/strong>, select\u00a0<strong>Individual Observations<\/strong>.<\/p>\r\n<p style=\"padding-left: 30px;\"><strong>Step 4:<\/strong>\u00a0Under <strong>Name of Variable<\/strong>, type \u201cU.S. Viewers (Millions).\u201d<\/p>\r\n<p style=\"padding-left: 30px;\"><strong>Step 5:<\/strong> Cut and paste or enter the data from the <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1rZrVrzCpOBegsf-ZU5HZ9fVx362YNg5pIIH5SV0Las4\/edit?usp=sharing\">spreadsheet<\/a> for U.S. Viewers (Millions).<\/p>\r\n<\/section>\r\n<\/div>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\r\n<p><br \/>\r\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\r\n<section class=\"textbox recall\">We think of the <strong>mean<\/strong> as the \"average\" data value and the <strong>median<\/strong> as the [latex]50[\/latex]<sup>th<\/sup> percentile, the value that splits the data in half.<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2037[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2038[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2039[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2040[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2041[\/ohm2_question]<\/section>\r\n<section>\r\n<section class=\"textbox proTip\">\r\n<p>From the example above, we found that when the graph is skewed to the right, the mean will be greater than the median.<br \/>\r\nWhat would be the relationship between mean and median when the graph is skewed left?<\/p>\r\n<\/section>\r\n<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Name the features of the distribution of a data set using statistical language<\/li>\n<li>Describe the connection between the distribution of a data set and its mean and median<\/li>\n<\/ul>\n<\/section>\n<div style=\"text-align: left;\">\n<p><span style=\"font-size: 1rem; text-align: initial;\">Let&#8217;s use technology to analyze this data set.<\/span><\/p>\n<section class=\"textbox interact\">Go to the <em>Describing and Exploring Quantitative Variables<\/em> tool<\/p>\n<p style=\"padding-left: 30px;\"><strong>Step 1:<\/strong>\u00a0Select the <strong>Single Group<\/strong> tab.<\/p>\n<p style=\"padding-left: 30px;\"><strong>Step 2:<\/strong>\u00a0Locate the drop-down menu under <strong>Enter Data<\/strong> and select <strong>Your Own<\/strong>.<\/p>\n<p style=\"padding-left: 30px;\"><strong>Step 3:<\/strong>\u00a0Under\u00a0<strong>Do you have<\/strong>, select\u00a0<strong>Individual Observations<\/strong>.<\/p>\n<p style=\"padding-left: 30px;\"><strong>Step 4:<\/strong>\u00a0Under <strong>Name of Variable<\/strong>, type \u201cU.S. Viewers (Millions).\u201d<\/p>\n<p style=\"padding-left: 30px;\"><strong>Step 5:<\/strong> Cut and paste or enter the data from the <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1rZrVrzCpOBegsf-ZU5HZ9fVx362YNg5pIIH5SV0Las4\/edit?usp=sharing\">spreadsheet<\/a> for U.S. Viewers (Millions).<\/p>\n<\/section>\n<\/div>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"850\"><\/iframe><\/p>\n<p>\n[<a href=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" target=\"_blank\" rel=\"noopener\">Trouble viewing? Click to open in a new tab.<\/a>]<\/p>\n<section class=\"textbox recall\">We think of the <strong>mean<\/strong> as the &#8220;average&#8221; data value and the <strong>median<\/strong> as the [latex]50[\/latex]<sup>th<\/sup> percentile, the value that splits the data in half.<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2037\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2037&theme=lumen&iframe_resize_id=ohm2037&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2038\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2038&theme=lumen&iframe_resize_id=ohm2038&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2039\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2039&theme=lumen&iframe_resize_id=ohm2039&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2040\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2040&theme=lumen&iframe_resize_id=ohm2040&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2041\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2041&theme=lumen&iframe_resize_id=ohm2041&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section>\n<section class=\"textbox proTip\">\n<p>From the example above, we found that when the graph is skewed to the right, the mean will be greater than the median.<br \/>\nWhat would be the relationship between mean and median when the graph is skewed left?<\/p>\n<\/section>\n<\/section>\n","protected":false},"author":13,"menu_order":14,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":834,"module-header":"learn_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/853"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/13"}],"version-history":[{"count":10,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/853\/revisions"}],"predecessor-version":[{"id":5710,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/853\/revisions\/5710"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/834"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/853\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=853"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=853"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=853"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=853"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}