{"id":450,"date":"2022-07-11T18:08:48","date_gmt":"2022-07-11T18:08:48","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/alphamodule\/?post_type=chapter&#038;p=450"},"modified":"2022-07-11T18:08:48","modified_gmt":"2022-07-11T18:08:48","slug":"calculating-the-mean-and-median-of-a-data-set-apply-it-4","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/calculating-the-mean-and-median-of-a-data-set-apply-it-4\/","title":{"raw":"Calculating the Mean and Median of a Data Set: Apply It 4","rendered":"Calculating the Mean and Median of a Data Set: Apply It 4"},"content":{"raw":"<h3 id=\"calcGroups\">Calculating Centers Using Technology<\/h3>\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>.\r\n<p style=\"padding-left: 30px;\">Step 1) Select the <strong>Several Groups<\/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>From Textbook<\/strong>.<\/p>\r\n<p style=\"padding-left: 30px;\">Step 3) Locate the drop-down menu under <strong>Data Set<\/strong> and select <strong>Sleep Study: Poor Sleep Quality Score<\/strong>. You may change the display to show histograms as desired.<\/p>\r\n\r\n<\/div>\r\n<p style=\"padding-left: 30px;\">The tool will display descriptive statistics and a distribution for the quantitative variable\u00a0<em>PoorSleepQuality<\/em>\u00a0categorized by whether a respondent identified as a lark, an owl, or as neither.\u00a0Using information from \"Descriptive Statistics\", fill in the table in Question 8 below for Poor Sleep Quality Score.<\/p>\r\n\r\n<div class=\"textbox\">Step 4) Change the Data Set to <strong>Sleep Study: Alcoholic Drinks per Week<\/strong> and use the information from the tool to complete the table in Question 8 for Alcoholic Drinks Per Week.<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 8<\/h3>\r\n[ohm_question hide_question_numbers=1]241039[\/ohm_question]\r\n\r\n[reveal-answer q=\"181440\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"181440\"]Use the information from \"Descriptive Statistics\" above the display.[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 9<\/h3>\r\n[ohm_question hide_question_numbers=1]241040[\/ohm_question]\r\n\r\n[reveal-answer q=\"649776\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"649776\"]What do <em>you<\/em> think?[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 10<\/h3>\r\n[ohm_question hide_question_numbers=1]241041[\/ohm_question]\r\n\r\n[reveal-answer q=\"809806\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"809806\"]Try to make comparisons between means and medians using words like \"smaller\/larger\" and \"fewer\/more.\"[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox tryit\">\r\n<h3>video placement<\/h3>\r\n<span style=\"background-color: #e6daf7;\">[wrap-up: <\/span>\r\n<ul>\r\n \t<li><span style=\"background-color: #e6daf7;\">Provide a model answer for Question 10 to use statistical language for students to mimic: Let's consider the conclusions, if any, we can draw from this analysis. When you try to make statements drawing conclusions in a statistical analysis, take care not to make assumptions or statements of fact. Instead, use language that includes phrases such as, \"this suggests ...,\" or \"this group tends to... .\"<\/span><\/li>\r\n \t<li><span style=\"background-color: #e6daf7; font-size: 1rem; orphans: 1; text-align: initial;\">Reflect back to your response to Question 1 -- were you surprised by what you discovered from the data?\u00a0<\/span><\/li>\r\n \t<li><span style=\"background-color: #e6daf7;\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: #e6daf7;\">Reflect on the use of the histograms in the activity. Address the challenge of estimating the mean using the histograms. Encourage students to think about\u00a0<\/span><em style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: #e6daf7;\">why<\/em><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: #e6daf7;\"> they found it challenging. \"Do you think it is possible to look at a histogram and guess whether\u00a0the mean or median might be larger? If so, what characteristics or\u00a0features of a histogram might suggest that the mean is larger? What\u00a0characteristics or features of a histogram might suggest that the\u00a0median is larger?\u201d]<\/span><\/span><\/li>\r\n<\/ul>\r\n<\/div>","rendered":"<h3 id=\"calcGroups\">Calculating Centers Using Technology<\/h3>\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>.<\/p>\n<p style=\"padding-left: 30px;\">Step 1) Select the <strong>Several Groups<\/strong> tab.<\/p>\n<p style=\"padding-left: 30px;\">Step 2) Locate the drop-down menu under <strong>Enter Data<\/strong> and select <strong>From Textbook<\/strong>.<\/p>\n<p style=\"padding-left: 30px;\">Step 3) Locate the drop-down menu under <strong>Data Set<\/strong> and select <strong>Sleep Study: Poor Sleep Quality Score<\/strong>. You may change the display to show histograms as desired.<\/p>\n<\/div>\n<p style=\"padding-left: 30px;\">The tool will display descriptive statistics and a distribution for the quantitative variable\u00a0<em>PoorSleepQuality<\/em>\u00a0categorized by whether a respondent identified as a lark, an owl, or as neither.\u00a0Using information from &#8220;Descriptive Statistics&#8221;, fill in the table in Question 8 below for Poor Sleep Quality Score.<\/p>\n<div class=\"textbox\">Step 4) Change the Data Set to <strong>Sleep Study: Alcoholic Drinks per Week<\/strong> and use the information from the tool to complete the table in Question 8 for Alcoholic Drinks Per Week.<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 8<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241039\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241039&theme=oea&iframe_resize_id=ohm241039\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q181440\">Hint<\/span><\/p>\n<div id=\"q181440\" class=\"hidden-answer\" style=\"display: none\">Use the information from &#8220;Descriptive Statistics&#8221; above the display.<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 9<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241040\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241040&theme=oea&iframe_resize_id=ohm241040\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q649776\">Hint<\/span><\/p>\n<div id=\"q649776\" class=\"hidden-answer\" style=\"display: none\">What do <em>you<\/em> think?<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 10<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm241041\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=241041&theme=oea&iframe_resize_id=ohm241041\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q809806\">Hint<\/span><\/p>\n<div id=\"q809806\" class=\"hidden-answer\" style=\"display: none\">Try to make comparisons between means and medians using words like &#8220;smaller\/larger&#8221; and &#8220;fewer\/more.&#8221;<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox tryit\">\n<h3>video placement<\/h3>\n<p><span style=\"background-color: #e6daf7;\">[wrap-up: <\/span><\/p>\n<ul>\n<li><span style=\"background-color: #e6daf7;\">Provide a model answer for Question 10 to use statistical language for students to mimic: Let&#8217;s consider the conclusions, if any, we can draw from this analysis. When you try to make statements drawing conclusions in a statistical analysis, take care not to make assumptions or statements of fact. Instead, use language that includes phrases such as, &#8220;this suggests &#8230;,&#8221; or &#8220;this group tends to&#8230; .&#8221;<\/span><\/li>\n<li><span style=\"background-color: #e6daf7; font-size: 1rem; orphans: 1; text-align: initial;\">Reflect back to your response to Question 1 &#8212; were you surprised by what you discovered from the data?\u00a0<\/span><\/li>\n<li><span style=\"background-color: #e6daf7;\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: #e6daf7;\">Reflect on the use of the histograms in the activity. Address the challenge of estimating the mean using the histograms. Encourage students to think about\u00a0<\/span><em style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: #e6daf7;\">why<\/em><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: #e6daf7;\"> they found it challenging. &#8220;Do you think it is possible to look at a histogram and guess whether\u00a0the mean or median might be larger? If so, what characteristics or\u00a0features of a histogram might suggest that the mean is larger? What\u00a0characteristics or features of a histogram might suggest that the\u00a0median is larger?\u201d]<\/span><\/span><\/li>\n<\/ul>\n<\/div>\n","protected":false},"author":17533,"menu_order":15,"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-450","chapter","type-chapter","status-publish","hentry"],"part":20,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/450","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":1,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/450\/revisions"}],"predecessor-version":[{"id":456,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/450\/revisions\/456"}],"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\/450\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/media?parent=450"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapter-type?post=450"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/contributor?post=450"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/license?post=450"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}