{"id":864,"date":"2023-03-20T19:17:39","date_gmt":"2023-03-20T19:17:39","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/comparing-boxplot-data-and-displays-learn-it-2\/"},"modified":"2025-05-11T22:39:12","modified_gmt":"2025-05-11T22:39:12","slug":"comparing-boxplot-data-and-displays-learn-it-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/comparing-boxplot-data-and-displays-learn-it-2\/","title":{"raw":"Boxplot Data and Displays: Learn It 2","rendered":"Boxplot Data and Displays: Learn It 2"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Read information from a boxplot and make conclusions<\/li>\r\n\t<li>Compare boxplots<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2 id=\"featboxplot\">Characteristics of a Boxplot<\/h2>\r\n<p>The characteristics of a boxplot include the <strong>five-number summary<\/strong> (<strong>minimum, Q1, median, Q3, and maximum<\/strong>) together, the interquartile range (IQR), and any outliers.<\/p>\r\n<h3>Minimum and Maximum (and also Median)<\/h3>\r\n<p>Let\u2019s start exploring the idea of the spread of a data set and begin by describing spread through the minimum and maximum of the data set. To find the minimum and maximum values of a data set, find the least and the greatest value in the data set. It might be best to order your data from smallest to the largest because you can also find the measure of center, median, through the ordered data set as well. Recall: The median is the value that splits the data in half.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2083[\/ohm2_question]<\/section>\r\n<h3>First Quartile ([latex]Q1[\/latex]) and Third Quartile ([latex]Q3[\/latex])<\/h3>\r\n<section class=\"textbox keyTakeaway\">\r\n<h3>[latex]Q1[\/latex] and [latex]Q3[\/latex]<\/h3>\r\n<ul>\r\n\t<li>The <strong>first quartile<\/strong>, also known as [latex]Q1[\/latex], can be thought of as the median of the values that lie below the median for the whole data set. It is the [latex]25[\/latex]<sup>th<\/sup> percentile of the data set.<\/li>\r\n\t<li>The <strong>third quartile<\/strong>, also known as [latex]Q3[\/latex], can be thought of as the median of the values that lie above the median for the whole data set. It is the [latex]75[\/latex]<sup>th<\/sup> percentile of the data set.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2084[\/ohm2_question]<\/section>\r\n<p>Fun fact: Since the median is the middle value between [latex]Q1[\/latex] and [latex]Q3[\/latex], the median is also commonly known as the second quartile ([latex]Q2[\/latex]).<\/p>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Read information from a boxplot and make conclusions<\/li>\n<li>Compare boxplots<\/li>\n<\/ul>\n<\/section>\n<h2 id=\"featboxplot\">Characteristics of a Boxplot<\/h2>\n<p>The characteristics of a boxplot include the <strong>five-number summary<\/strong> (<strong>minimum, Q1, median, Q3, and maximum<\/strong>) together, the interquartile range (IQR), and any outliers.<\/p>\n<h3>Minimum and Maximum (and also Median)<\/h3>\n<p>Let\u2019s start exploring the idea of the spread of a data set and begin by describing spread through the minimum and maximum of the data set. To find the minimum and maximum values of a data set, find the least and the greatest value in the data set. It might be best to order your data from smallest to the largest because you can also find the measure of center, median, through the ordered data set as well. Recall: The median is the value that splits the data in half.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2083\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2083&theme=lumen&iframe_resize_id=ohm2083&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<h3>First Quartile ([latex]Q1[\/latex]) and Third Quartile ([latex]Q3[\/latex])<\/h3>\n<section class=\"textbox keyTakeaway\">\n<h3>[latex]Q1[\/latex] and [latex]Q3[\/latex]<\/h3>\n<ul>\n<li>The <strong>first quartile<\/strong>, also known as [latex]Q1[\/latex], can be thought of as the median of the values that lie below the median for the whole data set. It is the [latex]25[\/latex]<sup>th<\/sup> percentile of the data set.<\/li>\n<li>The <strong>third quartile<\/strong>, also known as [latex]Q3[\/latex], can be thought of as the median of the values that lie above the median for the whole data set. It is the [latex]75[\/latex]<sup>th<\/sup> percentile of the data set.<\/li>\n<\/ul>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2084\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2084&theme=lumen&iframe_resize_id=ohm2084&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Fun fact: Since the median is the middle value between [latex]Q1[\/latex] and [latex]Q3[\/latex], the median is also commonly known as the second quartile ([latex]Q2[\/latex]).<\/p>\n","protected":false},"author":13,"menu_order":21,"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\/864"}],"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":8,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/864\/revisions"}],"predecessor-version":[{"id":6630,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/864\/revisions\/6630"}],"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\/864\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=864"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=864"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=864"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=864"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}