{"id":4545,"date":"2023-06-16T01:49:42","date_gmt":"2023-06-16T01:49:42","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=4545"},"modified":"2025-08-26T23:54:40","modified_gmt":"2025-08-26T23:54:40","slug":"numerical-summaries-of-data-apply-it-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/numerical-summaries-of-data-apply-it-1\/","title":{"raw":"Numerical Summaries of Data: Apply It 1","rendered":"Numerical Summaries of Data: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Find the average, middle value, and most common value in a set of data<\/li>\r\n\t<li>Calculate how spread out the data is using the range and standard deviation<\/li>\r\n\t<li>Identify the parts of a five-number summary for a set of data and create a box plot<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Statistical Exploration with the College Bookstore<\/h2>\r\n<p>Imagine you are in charge of managing your college bookstore. You've been asked to analyze various aspects of the bookstore\u2019s operations using statistical tools. The data includes daily customer counts, total daily sales, textbook prices, and hourly sales data.<\/p>\r\n<center>\r\n[caption id=\"attachment_6743\" align=\"aligncenter\" width=\"375\"]<img class=\"wp-image-6743\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50-225x300.jpg\" alt=\"A person walking through a book store\" width=\"375\" height=\"500\" \/> Figure 1. Manage the bookstore with statistical exploration[\/caption]\r\n<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>The bookstore\u2019s daily customer counts for the past ten days are as follows:<\/p>\r\n<center>[latex][58, 65, 62, 59, 63, 60, 58, 66, 64, 62, 58][\/latex]<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>To get a sense of the bookstore's average daily traffic, calculate the mean, median, and mode of this dataset.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9583[\/ohm2_question]<\/section>\r\n<p>Sales are critical for the bookstore's operation. You have data on the total daily sales ([latex]$[\/latex]) of the bookstore for the past ten days:<\/p>\r\n<p style=\"text-align: center;\">[latex][4\\mbox{,}500\\mbox{,\u00a0 } 4\\mbox{,}800\\mbox{,\u00a0 } 4\\mbox{,}900\\mbox{,\u00a0 } 4\\mbox{,}600\\mbox{,\u00a0 } 4\\mbox{,}700\\mbox{,\u00a0 } 4\\mbox{,}800\\mbox{,\u00a0 } 4\\mbox{,}600\\mbox{,\u00a0 } 4\\mbox{,}900\\mbox{,\u00a0 } 5\\mbox{,}000\\mbox{,\u00a0 } 4\\mbox{,}700][\/latex]<\/p>\r\n<p>To assess the volatility of the daily sales, calculate the range, deviations from the mean, and the population standard deviation of this data set.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9586[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9584[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]9587[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Find the average, middle value, and most common value in a set of data<\/li>\n<li>Calculate how spread out the data is using the range and standard deviation<\/li>\n<li>Identify the parts of a five-number summary for a set of data and create a box plot<\/li>\n<\/ul>\n<\/section>\n<h2>Statistical Exploration with the College Bookstore<\/h2>\n<p>Imagine you are in charge of managing your college bookstore. You&#8217;ve been asked to analyze various aspects of the bookstore\u2019s operations using statistical tools. The data includes daily customer counts, total daily sales, textbook prices, and hourly sales data.<\/p>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_6743\" aria-describedby=\"caption-attachment-6743\" style=\"width: 375px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-6743\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50-225x300.jpg\" alt=\"A person walking through a book store\" width=\"375\" height=\"500\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50-225x300.jpg 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50-768x1024.jpg 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50-1152x1536.jpg 1152w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50-1200x1600.jpg 1200w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50-65x87.jpg 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50-350x467.jpg 350w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/06\/13150104\/noemi-macavei-katocz-C9aFEZ7DjdI-unsplash_50.jpg 1512w\" sizes=\"(max-width: 375px) 100vw, 375px\" \/><figcaption id=\"caption-attachment-6743\" class=\"wp-caption-text\">Figure 1. Manage the bookstore with statistical exploration<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p>The bookstore\u2019s daily customer counts for the past ten days are as follows:<\/p>\n<div style=\"text-align: center;\">[latex][58, 65, 62, 59, 63, 60, 58, 66, 64, 62, 58][\/latex]<\/div>\n<p>&nbsp;<\/p>\n<p>To get a sense of the bookstore&#8217;s average daily traffic, calculate the mean, median, and mode of this dataset.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9583\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9583&theme=lumen&iframe_resize_id=ohm9583&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<p>Sales are critical for the bookstore&#8217;s operation. You have data on the total daily sales ([latex]$[\/latex]) of the bookstore for the past ten days:<\/p>\n<p style=\"text-align: center;\">[latex][4\\mbox{,}500\\mbox{,\u00a0 } 4\\mbox{,}800\\mbox{,\u00a0 } 4\\mbox{,}900\\mbox{,\u00a0 } 4\\mbox{,}600\\mbox{,\u00a0 } 4\\mbox{,}700\\mbox{,\u00a0 } 4\\mbox{,}800\\mbox{,\u00a0 } 4\\mbox{,}600\\mbox{,\u00a0 } 4\\mbox{,}900\\mbox{,\u00a0 } 5\\mbox{,}000\\mbox{,\u00a0 } 4\\mbox{,}700][\/latex]<\/p>\n<p>To assess the volatility of the daily sales, calculate the range, deviations from the mean, and the population standard deviation of this data set.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9586\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9586&theme=lumen&iframe_resize_id=ohm9586&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9584\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9584&theme=lumen&iframe_resize_id=ohm9584&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm9587\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=9587&theme=lumen&iframe_resize_id=ohm9587&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":23,"menu_order":15,"template":"","meta":{"_candela_citation":"[{\"type\":\"copyrighted_video\",\"description\":\"Woman holding books\",\"author\":\"Nou00e9mi Macavei-Katu00f3cz\",\"organization\":\"Unsplash\",\"url\":\"https:\/\/unsplash.com\/photos\/C9aFEZ7DjdI\",\"project\":\"\",\"license\":\"arr\",\"license_terms\":\"\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1572,"module-header":"apply_it","content_attributions":[{"type":"copyrighted_video","description":"Woman holding books","author":"Nou00e9mi Macavei-Katu00f3cz","organization":"Unsplash","url":"https:\/\/unsplash.com\/photos\/C9aFEZ7DjdI","project":"","license":"arr","license_terms":""}],"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\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4545"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/23"}],"version-history":[{"count":18,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4545\/revisions"}],"predecessor-version":[{"id":15706,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4545\/revisions\/15706"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/1572"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/4545\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=4545"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=4545"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=4545"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=4545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}