{"id":1506,"date":"2023-06-22T02:40:12","date_gmt":"2023-06-22T02:40:12","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/module-18-background-youll-need-3\/"},"modified":"2025-05-17T02:48:36","modified_gmt":"2025-05-17T02:48:36","slug":"module-18-background-youll-need-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/module-18-background-youll-need-3\/","title":{"raw":"Module 17: Background You'll Need 3","rendered":"Module 17: Background You&#8217;ll Need 3"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Understand the difference between mean and median&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4608,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Understand the difference between mean and median<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2><strong>Two Measures of Center\u2014The Mean and the Median<\/strong><\/h2>\r\n<section class=\"textbox recall\">\r\n<ul>\r\n\t<li>The\u00a0mean of a data set is also commonly known as the average of a data set.<\/li>\r\n\t<li>The median of the data set is the value \"in the middle\" after all of the values have been arranged in ascending order.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<p>Every year, bullfrogs compete in a jumping contest at the Calaveras County Jumping Frog Jubilee (a contest inspired by a short story by Mark Twain). One year, researchers recorded the jump distances of frogs entered in the contest.[footnote]Astley, H. C., Abbott, E. M., Azizi, E., Marsh, R. L., &amp; Roberts, T. J. (2013). Chasing maximal performance: A cautionary tale from the celebrated jumping frogs of Calaveras County. The Journal of Experimental Biology, 216(21), 3947\u20133953.[\/footnote]<\/p>\r\n<p>The following are the jump distances (in meters) for a sample of [latex]15[\/latex] bullfrogs.<\/p>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>0.1<\/td>\r\n<td>0.4<\/td>\r\n<td>0.6<\/td>\r\n<td>0.8<\/td>\r\n<td>1.3<\/td>\r\n<td>1.5<\/td>\r\n<td>1.6<\/td>\r\n<td>1.7<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>1.8<\/td>\r\n<td>1.8<\/td>\r\n<td>1.9<\/td>\r\n<td>1.9<\/td>\r\n<td>1.9<\/td>\r\n<td>2.0<\/td>\r\n<td>2.2<\/td>\r\n<td>&nbsp;<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<p>The jump distances have been arranged in order from the shortest distance to the longest distance.<\/p>\r\n<p><iframe src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"900\" frameborder=\"no\"><\/iframe><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 tryIt\">[ohm2_question hide_question_numbers=1]3490[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3491[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3492[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3493[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Understand the difference between mean and median&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4608,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Understand the difference between mean and median<\/span><\/li>\n<\/ul>\n<\/section>\n<h2><strong>Two Measures of Center\u2014The Mean and the Median<\/strong><\/h2>\n<section class=\"textbox recall\">\n<ul>\n<li>The\u00a0mean of a data set is also commonly known as the average of a data set.<\/li>\n<li>The median of the data set is the value &#8220;in the middle&#8221; after all of the values have been arranged in ascending order.<\/li>\n<\/ul>\n<\/section>\n<p>Every year, bullfrogs compete in a jumping contest at the Calaveras County Jumping Frog Jubilee (a contest inspired by a short story by Mark Twain). One year, researchers recorded the jump distances of frogs entered in the contest.<a class=\"footnote\" title=\"Astley, H. C., Abbott, E. M., Azizi, E., Marsh, R. L., &amp; Roberts, T. J. (2013). Chasing maximal performance: A cautionary tale from the celebrated jumping frogs of Calaveras County. The Journal of Experimental Biology, 216(21), 3947\u20133953.\" id=\"return-footnote-1506-1\" href=\"#footnote-1506-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a><\/p>\n<p>The following are the jump distances (in meters) for a sample of [latex]15[\/latex] bullfrogs.<\/p>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>0.1<\/td>\n<td>0.4<\/td>\n<td>0.6<\/td>\n<td>0.8<\/td>\n<td>1.3<\/td>\n<td>1.5<\/td>\n<td>1.6<\/td>\n<td>1.7<\/td>\n<\/tr>\n<tr>\n<td>1.8<\/td>\n<td>1.8<\/td>\n<td>1.9<\/td>\n<td>1.9<\/td>\n<td>1.9<\/td>\n<td>2.0<\/td>\n<td>2.2<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>The jump distances have been arranged in order from the shortest distance to the longest distance.<\/p>\n<p><iframe loading=\"lazy\" src=\"https:\/\/lumen-learning.shinyapps.io\/eda_quantitative\/\" width=\"100%\" height=\"900\" frameborder=\"no\"><\/iframe><br \/>\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 tryIt\"><iframe loading=\"lazy\" id=\"ohm3490\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3490&theme=lumen&iframe_resize_id=ohm3490&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3491\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3491&theme=lumen&iframe_resize_id=ohm3491&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3492\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3492&theme=lumen&iframe_resize_id=ohm3492&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3493\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3493&theme=lumen&iframe_resize_id=ohm3493&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-1506-1\">Astley, H. C., Abbott, E. M., Azizi, E., Marsh, R. L., &amp; Roberts, T. J. (2013). Chasing maximal performance: A cautionary tale from the celebrated jumping frogs of Calaveras County. The Journal of Experimental Biology, 216(21), 3947\u20133953. <a href=\"#return-footnote-1506-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":8,"menu_order":4,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1502,"module-header":"background_you_need","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\/1506"}],"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\/8"}],"version-history":[{"count":7,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1506\/revisions"}],"predecessor-version":[{"id":6918,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1506\/revisions\/6918"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1502"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1506\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1506"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1506"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1506"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}