{"id":13990,"date":"2017-07-21T20:35:56","date_gmt":"2017-07-21T20:35:56","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=13990"},"modified":"2017-08-15T00:29:15","modified_gmt":"2017-08-15T00:29:15","slug":"putting-it-together-applications-with-decimals","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/putting-it-together-applications-with-decimals\/","title":{"raw":"Putting It Together: Applications With Decimals","rendered":"Putting It Together: Applications With Decimals"},"content":{"raw":"<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2302\/2017\/07\/15001947\/Eloyse_Lesueur_Go%CC%88teborg_2013.jpg\"><img class=\"wp-image-14813 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2302\/2017\/07\/15001947\/Eloyse_Lesueur_Go%CC%88teborg_2013-300x182.jpg\" alt=\"Eloyse Lesueur performing long jump in 2013\" width=\"616\" height=\"375\" \/><\/a>\r\n\r\nAt the beginning of this module, we met Jeffrey, the long jump coach at Hamilton Middle School. He was wanting to find the mean distance for Hamilton Middle School\u2019s long jump team given the following lengths:\r\n<ul>\r\n \t<li>Pedro jumped 5.51 meters<\/li>\r\n \t<li>Elena jumped 5.87 meters<\/li>\r\n \t<li>Roy jumped 3.92 meters<\/li>\r\n<\/ul>\r\nIn the module we learned to find the mean of a set of numbers in the following way:\r\n\r\nFirst, sum the numbers: [latex]5.51+5.87+3.92=15.3[\/latex]\r\n\r\nThen divide the total by the number of elements in the set:\r\n\r\n[latex]15.3\\div 3 = 5.1[\/latex]\r\n\r\nThe mean high jump distance is 5.1 meters.\r\n\r\nIf Jeffrey\u2019s incoming class ends up with jumps of\r\n<ul>\r\n \t<li>4.54m<\/li>\r\n \t<li>3.89m<\/li>\r\n \t<li>6.02m<\/li>\r\n \t<li>4.54m<\/li>\r\n \t<li>5.31m<\/li>\r\n \t<li>3.91m<\/li>\r\n<\/ul>\r\nWhat are the median and mode of the jumps?\r\n\r\nIn the module we learned that you can find the median of a set of data with an even number of entries by finding the mean of the middle two values. First, we will need to sort the data from smallest to largest value.\r\n<table style=\"text-align: center;\">\r\n<tbody>\r\n<tr>\r\n<td style=\"text-align: center;\">3.89<\/td>\r\n<td style=\"text-align: center;\">3.91<\/td>\r\n<td style=\"text-align: center;\">4.54<\/td>\r\n<td style=\"text-align: center;\">4.54<\/td>\r\n<td style=\"text-align: center;\">5.31<\/td>\r\n<td style=\"text-align: center;\">6.02<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\nThe middle two numbers are the same, so the median is that value: [latex]4.54[\/latex]\r\n\r\nThe mode of the data set is the number with the highest frequency, which is also [latex]4.54[\/latex].","rendered":"<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2302\/2017\/07\/15001947\/Eloyse_Lesueur_Go%CC%88teborg_2013.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-14813 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2302\/2017\/07\/15001947\/Eloyse_Lesueur_Go%CC%88teborg_2013-300x182.jpg\" alt=\"Eloyse Lesueur performing long jump in 2013\" width=\"616\" height=\"375\" \/><\/a><\/p>\n<p>At the beginning of this module, we met Jeffrey, the long jump coach at Hamilton Middle School. He was wanting to find the mean distance for Hamilton Middle School\u2019s long jump team given the following lengths:<\/p>\n<ul>\n<li>Pedro jumped 5.51 meters<\/li>\n<li>Elena jumped 5.87 meters<\/li>\n<li>Roy jumped 3.92 meters<\/li>\n<\/ul>\n<p>In the module we learned to find the mean of a set of numbers in the following way:<\/p>\n<p>First, sum the numbers: [latex]5.51+5.87+3.92=15.3[\/latex]<\/p>\n<p>Then divide the total by the number of elements in the set:<\/p>\n<p>[latex]15.3\\div 3 = 5.1[\/latex]<\/p>\n<p>The mean high jump distance is 5.1 meters.<\/p>\n<p>If Jeffrey\u2019s incoming class ends up with jumps of<\/p>\n<ul>\n<li>4.54m<\/li>\n<li>3.89m<\/li>\n<li>6.02m<\/li>\n<li>4.54m<\/li>\n<li>5.31m<\/li>\n<li>3.91m<\/li>\n<\/ul>\n<p>What are the median and mode of the jumps?<\/p>\n<p>In the module we learned that you can find the median of a set of data with an even number of entries by finding the mean of the middle two values. First, we will need to sort the data from smallest to largest value.<\/p>\n<table style=\"text-align: center;\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\">3.89<\/td>\n<td style=\"text-align: center;\">3.91<\/td>\n<td style=\"text-align: center;\">4.54<\/td>\n<td style=\"text-align: center;\">4.54<\/td>\n<td style=\"text-align: center;\">5.31<\/td>\n<td style=\"text-align: center;\">6.02<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The middle two numbers are the same, so the median is that value: [latex]4.54[\/latex]<\/p>\n<p>The mode of the data set is the number with the highest frequency, which is also [latex]4.54[\/latex].<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-13990\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Goteborg. Eloyse Lesueur aux championnats d&#039;Europe en salle 2013. <strong>Authored by<\/strong>: Guillaume Baviere. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/commons.wikimedia.org\/wiki\/File%3AEloyse_Lesueur_G%C3%B6teborg_2013.jpg\">https:\/\/commons.wikimedia.org\/wiki\/File%3AEloyse_Lesueur_G%C3%B6teborg_2013.jpg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21,"menu_order":17,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Goteborg. Eloyse Lesueur aux championnats d\\'Europe en salle 2013\",\"author\":\"Guillaume Baviere\",\"organization\":\"\",\"url\":\"https:\/\/commons.wikimedia.org\/wiki\/File%3AEloyse_Lesueur_G%C3%B6teborg_2013.jpg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"fd5e52d5-4bc2-4467-bf4f-9e283dce03c4","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-13990","chapter","type-chapter","status-publish","hentry"],"part":13985,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/13990","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/21"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/13990\/revisions"}],"predecessor-version":[{"id":14814,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/13990\/revisions\/14814"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/13985"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/13990\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=13990"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=13990"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=13990"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=13990"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}