{"id":3406,"date":"2016-07-08T00:00:08","date_gmt":"2016-07-08T00:00:08","guid":{"rendered":"https:\/\/assignment.essayshark.com\/blog\/?p=3406"},"modified":"2023-01-09T14:42:44","modified_gmt":"2023-01-09T14:42:44","slug":"cumulative-frequency-distribution-table-sample","status":"publish","type":"post","link":"https:\/\/assignmentshark.com\/blog\/cumulative-frequency-distribution-table-sample\/","title":{"rendered":"Cumulative Frequency Distribution Table Sample"},"content":{"rendered":"<p>As an example of the cumulative distribution, we will build and analyze the cumulative frequency distribution for rolling two standard number cubes.<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/06\/image001.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3408\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/06\/image001.jpg\" alt=\"Cubes\" width=\"275\" height=\"183\" \/><\/a><!--more--><\/p>\n<p><strong>Analysis:<\/strong><\/p>\n<p>If we sum all possible combinations from two standard cubes, we will get the following values:<\/p>\n<p>&nbsp;<\/p>\n<table class=\"post-text-table\">\n<tbody>\n<tr>\n<th width=\"92\">N\/N<\/th>\n<th width=\"92\"><strong>1<\/strong><\/th>\n<th width=\"92\"><strong>2<\/strong><\/th>\n<th width=\"92\"><strong>3<\/strong><\/th>\n<th width=\"92\"><strong>4<\/strong><\/th>\n<th width=\"92\"><strong>5<\/strong><\/th>\n<th width=\"92\"><strong>6<\/strong><\/th>\n<\/tr>\n<tr>\n<th width=\"92\"><strong>1<\/strong><\/th>\n<td width=\"92\">2<\/td>\n<td width=\"92\">3<\/td>\n<td width=\"92\">4<\/td>\n<td width=\"92\">5<\/td>\n<td width=\"92\">6<\/td>\n<td width=\"92\">7<\/td>\n<\/tr>\n<tr>\n<th width=\"92\"><strong>2<\/strong><\/th>\n<td width=\"92\">3<\/td>\n<td width=\"92\">4<\/td>\n<td width=\"92\">5<\/td>\n<td width=\"92\">6<\/td>\n<td width=\"92\">7<\/td>\n<td width=\"92\">8<\/td>\n<\/tr>\n<tr>\n<th width=\"92\"><strong>3<\/strong><\/th>\n<td width=\"92\">4<\/td>\n<td width=\"92\">5<\/td>\n<td width=\"92\">6<\/td>\n<td width=\"92\">7<\/td>\n<td width=\"92\">8<\/td>\n<td width=\"92\">9<\/td>\n<\/tr>\n<tr>\n<th width=\"92\"><strong>4<\/strong><\/th>\n<td width=\"92\">5<\/td>\n<td width=\"92\">6<\/td>\n<td width=\"92\">7<\/td>\n<td width=\"92\">8<\/td>\n<td width=\"92\">9<\/td>\n<td width=\"92\">10<\/td>\n<\/tr>\n<tr>\n<th width=\"92\"><strong>5<\/strong><\/th>\n<td width=\"92\">6<\/td>\n<td width=\"92\">7<\/td>\n<td width=\"92\">8<\/td>\n<td width=\"92\">9<\/td>\n<td width=\"92\">10<\/td>\n<td width=\"92\">11<\/td>\n<\/tr>\n<tr>\n<th width=\"92\"><strong>6<\/strong><\/th>\n<td width=\"92\">7<\/td>\n<td width=\"92\">8<\/td>\n<td width=\"92\">9<\/td>\n<td width=\"92\">10<\/td>\n<td width=\"92\">11<\/td>\n<td width=\"92\">12<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>Each value has its frequency and probability, see table below:<\/p>\n<p>&nbsp;<\/p>\n<table class=\"post-text-table\">\n<tbody>\n<tr>\n<th width=\"161\">Value<\/th>\n<th width=\"161\">Frequency<\/th>\n<th width=\"161\">Cumulative frequency<\/th>\n<th width=\"161\">Probability<\/th>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 2<\/td>\n<td width=\"161\">1<\/td>\n<td width=\"161\">1<\/td>\n<td width=\"161\">\u00a01\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 3<\/td>\n<td width=\"161\">2<\/td>\n<td width=\"161\">2+1=3<\/td>\n<td width=\"161\">\u00a02\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 4<\/td>\n<td width=\"161\">3<\/td>\n<td width=\"161\">3+3=6<\/td>\n<td width=\"161\">\u00a03\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 5<\/td>\n<td width=\"161\">4<\/td>\n<td width=\"161\">6+4=10<\/td>\n<td width=\"161\">\u00a04\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 6<\/td>\n<td width=\"161\">5<\/td>\n<td width=\"161\">10+5=15<\/td>\n<td width=\"161\">\u00a05\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 7<\/td>\n<td width=\"161\">6<\/td>\n<td width=\"161\">15+6=21<\/td>\n<td width=\"161\">\u00a06\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 8<\/td>\n<td width=\"161\">5<\/td>\n<td width=\"161\">21+5=26<\/td>\n<td width=\"161\">\u00a05\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 9<\/td>\n<td width=\"161\">4<\/td>\n<td width=\"161\">26+4=30<\/td>\n<td width=\"161\">\u00a04\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 10<\/td>\n<td width=\"161\">3<\/td>\n<td width=\"161\">30+3=33<\/td>\n<td width=\"161\">\u00a03\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 11<\/td>\n<td width=\"161\">2<\/td>\n<td width=\"161\">33+2=35<\/td>\n<td width=\"161\">\u00a02\/36<\/td>\n<\/tr>\n<tr>\n<td width=\"161\">\u2a7d 12<\/td>\n<td width=\"161\">1<\/td>\n<td width=\"161\">35+1=36<\/td>\n<td width=\"161\">\u00a01\/36<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>The cumulative frequency graph can be built according to the values in the table:<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/06\/image002-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3410\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/06\/image002-2.jpg\" alt=\"image002\" width=\"642\" height=\"352\" srcset=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/06\/image002-2.jpg 642w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/06\/image002-2-300x164.jpg 300w\" sizes=\"auto, (max-width: 642px) 100vw, 642px\" \/><\/a><\/p>\n<p>Position of the median:<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/01.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3414\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/01.jpg\" alt=\"01\" width=\"298\" height=\"37\" \/><\/a><\/p>\n<p>The Median:<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/02.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3418\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/02.jpg\" alt=\"02\" width=\"124\" height=\"25\" \/><\/a> &#8211; from the graph, round to the nearest integer as for discrete structure<\/p>\n<p>Position of the lower quartile:<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/03.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3420\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/03.jpg\" alt=\"03\" width=\"264\" height=\"40\" \/><\/a><\/p>\n<p>Lower quartile:<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/04.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3422\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/04.jpg\" alt=\"04\" width=\"166\" height=\"22\" \/><\/a> &#8211; from the graph, round to the nearest integer as for discrete structure<\/p>\n<p>Position of the upper quartile:<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/05.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3424\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/05.jpg\" alt=\"05\" width=\"287\" height=\"40\" \/><\/a><\/p>\n<p>Upper quartile:<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/06.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-3426\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/06.jpg\" alt=\"06\" width=\"172\" height=\"23\" \/><\/a> &#8211; from the graph, round to the nearest integer as for discrete structure<\/p>\n<p>Interquartile range:<\/p>\n<p><a href=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/07.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3428\" src=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/07.jpg\" alt=\"07\" width=\"422\" height=\"21\" srcset=\"https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/07.jpg 422w, https:\/\/assignmentshark.com\/blog\/wp-content\/uploads\/2016\/07\/07-300x15.jpg 300w\" sizes=\"auto, (max-width: 422px) 100vw, 422px\" \/><\/a><\/p>\n<p>This tells us that the difference between maximal and minimal value in the middle 50% is equal 4.<\/p>\n<p style=\"text-align: center;\"><strong>References<\/strong><\/p>\n<p>Liu, Stanley T. Experimental And Analytical Investigation Of Solar Radiant Flux Distribution On Interior Surfaces Of A Sunspace. Gaithersburg, MD: U.S. Dept. of Commerce, National Bureau of Standards, 1986. Print.<\/p>\n<p>Salkind, Neil J. Encyclopedia Of Research Design. Thousand Oaks, Calif.: Sage, 2010. Print.<\/p>\n<h2>IT Assignments Assistance from the Top Experts<\/h2>\n<blockquote><p><em>The presented cumulative frequency distribution table sample was completed by one of AssignmentShark IT experts. If you found the presented sample useful, you may also like the <a href=\"https:\/\/assignmentshark.com\/blog\/frequency-distribution-table-example\/\" target=\"_blank\" rel=\"noopener noreferrer\">grouped frequency distribution table example<\/a>.<\/em><\/p>\n<p><em>If you still don&#8217;t understand how to complete an assignment of similar kind, or are assigned a different project, you can count on us. We will <a href=\"https:\/\/assignmentshark.com\/\" target=\"_blank\" rel=\"noopener\">help with technical assignments<\/a> of any difficulty level and will will follow all of your requirements. If you need <a href=\"https:\/\/assignmentshark.com\/accounting-homework-help.html\" target=\"_blank\" rel=\"noopener\">free accounting homework help online<\/a>, you can check the available samples on our blog, or ask our experts to help you with your task for money.<\/em><\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>As an example of the cumulative distribution, we will build and analyze the cumulative frequency distribution for rolling two standard number cubes.<\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[35,61],"tags":[],"class_list":["post-3406","post","type-post","status-publish","format-standard","hentry","category-samples","category-statistics"],"_links":{"self":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/3406","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/comments?post=3406"}],"version-history":[{"count":14,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/3406\/revisions"}],"predecessor-version":[{"id":13513,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/posts\/3406\/revisions\/13513"}],"wp:attachment":[{"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/media?parent=3406"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/categories?post=3406"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmentshark.com\/blog\/wp-json\/wp\/v2\/tags?post=3406"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}