{"id":838,"date":"2023-03-20T19:17:18","date_gmt":"2023-03-20T19:17:18","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/chapter-1-2\/"},"modified":"2025-05-08T02:39:27","modified_gmt":"2025-05-08T02:39:27","slug":"chapter-1-2","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/chapter-1-2\/","title":{"raw":"Describing Data Numerically: Background You'll Need 1","rendered":"Describing Data Numerically: Background You&#8217;ll Need 1"},"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;Read and interpret a dot plot&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4608,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Read and interpret a dotplot<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Illustrating Frequency with Dotplots<\/h2>\r\n<p>When we conduct statistical experiments, we often work with large tables that present each individual\u2019s information. To analyze the data, we need to summarize information and patterns about the group as a whole, not just on the individual level. A graphical display, such as a dotplot, can be useful to create such a summary.<\/p>\r\n<p>To use a graphical display to answer questions about the data set, it helps to first ask yourself a question or two to become familiar with the visualization. This helps you understand what information this dotplot conveys about the data set. Then, we can use it to answer questions about the data.<\/p>\r\n<section class=\"textbox keyTakeaway\">\r\n<h3>dotplot<\/h3>\r\n<p>A <strong>dotplot<\/strong> is a simple and powerful tool to display the frequency and distribution of quantitative data.<\/p>\r\n<p>Each dot represents a single data point that falls within a discrete bin.<\/p>\r\n<p>Example of a dotplot:<\/p>\r\n\r\n[caption id=\"attachment_839\" align=\"aligncenter\" width=\"387\"]<img class=\"wp-image-839\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/20191717\/Screen-Shot-2022-10-18-at-11.04.46-AM.png\" alt=\"Example of a dotplot. The dotplot is showing the number of pets at home in a rural\/farm town school pet survey.\" width=\"387\" height=\"275\" \/> Figure 1. Dot plot showing the number of pets students have at home in a rural\/farm town school.[\/caption]\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2332[\/ohm2_question]<\/section>\r\n<p>Now that you are familiar with the information presented in the display, you can use it to answer questions about the data.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2333[\/ohm2_question]<\/section>\r\n<section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2334[\/ohm2_question]<\/section>\r\n<\/section>\r\n<h2>Comparing Groups with Dotplots<\/h2>\r\n<p>When we conduct statistical experiments, we often work with multiple data sets to make inferences regarding the variable of interest. Let's look at an example where we compare different groups using dotplots as the graphical displays.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2335[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Read and interpret a dot plot&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4608,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Read and interpret a dotplot<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Illustrating Frequency with Dotplots<\/h2>\n<p>When we conduct statistical experiments, we often work with large tables that present each individual\u2019s information. To analyze the data, we need to summarize information and patterns about the group as a whole, not just on the individual level. A graphical display, such as a dotplot, can be useful to create such a summary.<\/p>\n<p>To use a graphical display to answer questions about the data set, it helps to first ask yourself a question or two to become familiar with the visualization. This helps you understand what information this dotplot conveys about the data set. Then, we can use it to answer questions about the data.<\/p>\n<section class=\"textbox keyTakeaway\">\n<h3>dotplot<\/h3>\n<p>A <strong>dotplot<\/strong> is a simple and powerful tool to display the frequency and distribution of quantitative data.<\/p>\n<p>Each dot represents a single data point that falls within a discrete bin.<\/p>\n<p>Example of a dotplot:<\/p>\n<figure id=\"attachment_839\" aria-describedby=\"caption-attachment-839\" style=\"width: 387px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-839\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/20191717\/Screen-Shot-2022-10-18-at-11.04.46-AM.png\" alt=\"Example of a dotplot. The dotplot is showing the number of pets at home in a rural\/farm town school pet survey.\" width=\"387\" height=\"275\" \/><figcaption id=\"caption-attachment-839\" class=\"wp-caption-text\">Figure 1. Dot plot showing the number of pets students have at home in a rural\/farm town school.<\/figcaption><\/figure>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2332\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2332&theme=lumen&iframe_resize_id=ohm2332&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Now that you are familiar with the information presented in the display, you can use it to answer questions about the data.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2333\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2333&theme=lumen&iframe_resize_id=ohm2333&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2334\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2334&theme=lumen&iframe_resize_id=ohm2334&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<\/section>\n<h2>Comparing Groups with Dotplots<\/h2>\n<p>When we conduct statistical experiments, we often work with multiple data sets to make inferences regarding the variable of interest. Let&#8217;s look at an example where we compare different groups using dotplots as the graphical displays.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2335\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2335&theme=lumen&iframe_resize_id=ohm2335&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":13,"menu_order":2,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[48],"contributor":[],"license":[],"part":834,"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\/838"}],"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":9,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/838\/revisions"}],"predecessor-version":[{"id":6462,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/838\/revisions\/6462"}],"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\/838\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=838"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=838"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=838"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=838"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}