{"id":6067,"date":"2025-08-21T16:10:19","date_gmt":"2025-08-21T10:40:19","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=6067"},"modified":"2025-08-21T16:10:19","modified_gmt":"2025-08-21T10:40:19","slug":"properties-relating-mean-median-and-mode","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/probability-and-statistics\/properties-relating-mean-median-and-mode","title":{"rendered":"Properties Relating Mean, Median and Mode"},"content":{"rendered":"<p><strong> 1.<\/strong> Empirical mode = 3 median \u2013 2 mean<\/p>\n<p>When an approximate value of mode is required, the above empirical formula for mode may be used.<\/p>\n<p><strong> 2.<\/strong> There are three types of frequency distributions.<\/p>\n<p>Positively skewed, symmetric, and negatively skewed distribution.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-6068 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/08\/empirical-mode.jpg\" alt=\" Empirical mode \" width=\"592\" height=\"132\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/08\/empirical-mode.jpg 592w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/08\/empirical-mode-300x67.jpg 300w\" sizes=\"auto, (max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>(a) In a positively skewed distribution:<br \/>\nMode \u2264 Median \u2264 Mean<\/p>\n<p>(b) In symmetric distribution:<br \/>\nMean = Median = Mode<\/p>\n<p>(c) In negatively skewed distribution:<br \/>\nMean \u2264 Median \u2264 Mode<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Empirical mode = 3 median \u2013 2 mean When an approximate value of mode is required, the above empirical<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1754,5],"tags":[241,1785,1784],"class_list":["post-6067","post","type-post","status-publish","format-standard","hentry","category-probability-and-statistics","category-ee","tag-mean","tag-median","tag-mode"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/6067","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=6067"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/6067\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=6067"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=6067"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=6067"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}