{"id":1750,"date":"2019-07-07T13:44:58","date_gmt":"2019-07-07T13:44:58","guid":{"rendered":"https:\/\/commerceiets.com\/?p=1750"},"modified":"2019-07-07T13:44:58","modified_gmt":"2019-07-07T13:44:58","slug":"measures-of-central-tendency-in-statistics","status":"publish","type":"post","link":"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/","title":{"rendered":"MEASURES OF CENTRAL TENDENCY IN STATISTICS"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"168\" src=\"https:\/\/commerceiets.com\/wp-content\/uploads\/2022\/02\/images-38.jpg\" alt=\"\" class=\"wp-image-5249\"\/><figcaption>MEASURES OF CENTRAL TENDENCY IN STATISTICS<\/figcaption><\/figure>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_65 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#MEASURES_OF_CENTRAL_TENDENCY_IN_STATISTICS\" title=\"MEASURES OF CENTRAL TENDENCY IN STATISTICS\">MEASURES OF CENTRAL TENDENCY IN STATISTICS<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#VARIOUS_MEASURES_OF_CENTRAL_TENDENCY\" title=\"VARIOUS MEASURES OF CENTRAL TENDENCY\">VARIOUS MEASURES OF CENTRAL TENDENCY<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#MATHEMATICAL_AVERAGES\" title=\"MATHEMATICAL AVERAGES\">MATHEMATICAL AVERAGES<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#ARITHMETIC_MEAN\" title=\"ARITHMETIC MEAN\">ARITHMETIC MEAN<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#GEOMETRIC_MEAN\" title=\"GEOMETRIC MEAN\">GEOMETRIC MEAN<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#HARMONIC_MEAN\" title=\"HARMONIC MEAN\">HARMONIC MEAN<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#POSITIONAL_AVERAGES\" title=\"POSITIONAL AVERAGES\">POSITIONAL AVERAGES<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#MEDIAN\" title=\"MEDIAN\">MEDIAN<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/#MODE\" title=\"MODE\">MODE<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"measures-of-central-tendency-in-statistics\"><span class=\"ez-toc-section\" id=\"MEASURES_OF_CENTRAL_TENDENCY_IN_STATISTICS\"><\/span>MEASURES OF CENTRAL TENDENCY IN STATISTICS<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-medium-font-size\">Measures of Central Tendency are the expected values of the variable or is a value in a data around which the items of the data congregate. It represents the whole set of data. The Measures of Central Tendency is also known as an \u2018Average\u2019 or \u2018Measures of Location.\u2019 <\/p>\n\n\n\n<p class=\"has-light-green-cyan-background-color has-background has-medium-font-size\"><strong>ACCORDING TO SIMPSON AND KAFKA<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">\u201cA measure of central tendency is a typical value around\nwhich other figures congregate.\u201d<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Thus, Measures of Central Tendency are the values which lie\nbetween the two extreme observations i.e. largest and smallest observations of\nthe distribution.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"various-measures-of-central-tendency\"><span class=\"ez-toc-section\" id=\"VARIOUS_MEASURES_OF_CENTRAL_TENDENCY\"><\/span>VARIOUS MEASURES OF CENTRAL TENDENCY<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-medium-font-size\">The various measures of central tendency are as follows: <\/p>\n\n\n\n<figure class=\"wp-block-image\"><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"352\" src=\"https:\/\/commerceiets.com\/wp-content\/uploads\/2019\/07\/image-1.png\" alt=\"\" class=\"wp-image-1751\" srcset=\"https:\/\/commerceiets.com\/wp-content\/uploads\/2019\/07\/image-1.png 580w, https:\/\/commerceiets.com\/wp-content\/uploads\/2019\/07\/image-1-300x182.png 300w\" sizes=\"(max-width: 580px) 100vw, 580px\" \/><figcaption>VARIOUS MEASURES OF CENTRAL TENDENCY IN STATISTICS<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"mathematical-averages\"><span class=\"ez-toc-section\" id=\"MATHEMATICAL_AVERAGES\"><\/span>MATHEMATICAL AVERAGES<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"arithmetic-mean\"><span class=\"ez-toc-section\" id=\"ARITHMETIC_MEAN\"><\/span>ARITHMETIC MEAN<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"150\" src=\"https:\/\/commerceiets.com\/wp-content\/uploads\/2022\/02\/download-69.png\" alt=\"\" class=\"wp-image-5250\" srcset=\"https:\/\/commerceiets.com\/wp-content\/uploads\/2022\/02\/download-69.png 335w, https:\/\/commerceiets.com\/wp-content\/uploads\/2022\/02\/download-69-300x134.png 300w\" sizes=\"(max-width: 335px) 100vw, 335px\" \/><figcaption>MEASURES OF CENTRAL TENDENCY IN STATISTICS<\/figcaption><\/figure>\n\n\n\n<p class=\"has-medium-font-size\">Arithmetic Mean is the number which is obtained by adding\nthe values of all the items of a series and dividing the total by number of\nitems. It is also called \u2018Common Average.\u2019 It is of two types: <\/p>\n\n\n\n<ul><li>Simple Arithmetic Mean<\/li><li>Weighted Arithmetic Mean<\/li><\/ul>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"geometric-mean\"><span class=\"ez-toc-section\" id=\"GEOMETRIC_MEAN\"><\/span>GEOMETRIC MEAN<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p class=\"has-medium-font-size\">Geometric Mean is the <em>n<\/em>th root of the product of <em>n<\/em>\nitems in a given series. The geometric mean is obtained by multiplying the\nvalues of the items together and then taking it to its root corresponding to\nthe number of items.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"harmonic-mean\"><span class=\"ez-toc-section\" id=\"HARMONIC_MEAN\"><\/span>HARMONIC MEAN<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p class=\"has-medium-font-size\">Harmonic mean of a given series is the reciprocal of the\narithmetic average of the values of its various items.<\/p>\n\n\n\n<p class=\"has-light-green-cyan-background-color has-background has-medium-font-size\"><strong>ACCORDING TO W I GREENWALD<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">\u201cThe harmonic mean is defined as the reciprocal of the\narithmetic mean of the reciprocal of the series.\u201d<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"positional-averages\"><span class=\"ez-toc-section\" id=\"POSITIONAL_AVERAGES\"><\/span>POSITIONAL AVERAGES<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"median\"><span class=\"ez-toc-section\" id=\"MEDIAN\"><\/span>MEDIAN<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p class=\"has-medium-font-size\">Median is the middle value of a distribution when the series\nis arranged in ascending or descending order. It is the value which divides the\nwhole series into two equal parts. Thus, in case of median, the number of items\nless than median and the number of items more than median will be equal.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"mode\"><span class=\"ez-toc-section\" id=\"MODE\"><\/span>MODE<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p class=\"has-medium-font-size\">Mode is the value which occurs most frequently in a statistical distribution. The word \u2018Mode\u2019 is derived from the French word \u2018la made\u2019 which means \u2018Fashion\u2019 or the most popular phenomenon. So mode can be known from a value which occurs frequently. <\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Also Study:<\/strong><\/td><td><strong>Also Study:<\/strong><\/td><td><strong>Also Study:<\/strong><\/td><td><strong>Also Study:<\/strong><\/td><td><strong>Also Study:<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/commerceiets.com\/measures-of-central-tendency\/\">Measures of central tendency<\/a><\/td><td><a href=\"https:\/\/commerceiets.com\/arithmetic-mean\/\">Arithmetic Mean<\/a><\/td><td><a href=\"https:\/\/commerceiets.com\/median\/\">Median<\/a><\/td><td><a href=\"https:\/\/commerceiets.com\/mode\/\">Mode<\/a><\/td><td><a href=\"https:\/\/commerceiets.com\/statistics\/\">Statistics<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/commerceiets.com\/functions-of-statistics\/\">Functions of statistics<\/a><\/td><td><a href=\"https:\/\/commerceiets.com\/scope-of-statistics\/\">Scope of statistics<\/a><\/td><td><a href=\"https:\/\/commerceiets.com\/limitations-of-statistics\/\">Limitations of Statistics<\/a><\/td><td><a href=\"https:\/\/commerceiets.com\/distrust-of-statistics\/\">Distrust of statistics<\/a><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.linkedin.com\/in\/kajal-mahajan-7549b2197\/\" target=\"_blank\" rel=\"noreferrer noopener\">CONNECT ON LINKEDIN<\/a><\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"512\" height=\"152\" src=\"https:\/\/commerceiets.com\/wp-content\/uploads\/2019\/04\/cropped-cropped-Presentation-resize-1.jpg\" alt=\"MEASURES OF CENTRAL TENDENCY IN STATISTICS\" class=\"wp-image-4836\" srcset=\"https:\/\/commerceiets.com\/wp-content\/uploads\/2019\/04\/cropped-cropped-Presentation-resize-1.jpg 512w, https:\/\/commerceiets.com\/wp-content\/uploads\/2019\/04\/cropped-cropped-Presentation-resize-1-300x89.jpg 300w\" sizes=\"(max-width: 512px) 100vw, 512px\" \/><figcaption>MEASURES OF CENTRAL TENDENCY IN STATISTICS<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>MEASURES OF CENTRAL TENDENCY IN STATISTICS Measures of Central Tendency are the expected values of the variable or is a value in a data around which the items of the data congregate. It represents the whole set of data. The Measures of Central Tendency is also known as an \u2018Average\u2019 or \u2018Measures of Location.\u2019 ACCORDING&#8230;<\/p>\n<p class=\"more-link-wrap\"><a href=\"https:\/\/commerceiets.com\/measures-of-central-tendency-in-statistics\/\" class=\"more-link\">Read More<span class=\"screen-reader-text\"> &ldquo;MEASURES OF CENTRAL TENDENCY IN STATISTICS&rdquo;<\/span> &raquo;<\/a><\/p>\n","protected":false},"author":2,"featured_media":1752,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[67],"tags":[],"_links":{"self":[{"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/posts\/1750"}],"collection":[{"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/comments?post=1750"}],"version-history":[{"count":0,"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/posts\/1750\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/media\/1752"}],"wp:attachment":[{"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/media?parent=1750"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/categories?post=1750"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/commerceiets.com\/wp-json\/wp\/v2\/tags?post=1750"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}