{"id":490,"date":"2020-01-22T08:04:37","date_gmt":"2020-01-22T08:04:37","guid":{"rendered":"https:\/\/bcisnotes.com\/thirdsemester\/?p=490"},"modified":"2021-06-18T08:07:00","modified_gmt":"2021-06-18T08:07:00","slug":"median-data-measures-of-central-tendency-bcis-notes","status":"publish","type":"post","link":"https:\/\/bcisnotes.com\/thirdsemester\/business-statistics\/median-data-measures-of-central-tendency-bcis-notes\/","title":{"rendered":"Median Data || Describing Data: Summary Measures || Bcis Notes"},"content":{"rendered":"<h2>Median Data<\/h2>\n<p>The variable values dividing the total set of observations into two equal parts of the data is called the median data.<\/p>\n<p>For a\u00a0data set, it may be thought of as the &#8220;middle&#8221; value.<\/p>\n<p>For example, in the data set [1,3,3,6,7,8,9], the median is 6, the fourth largest, and also the fourth smallest, number in the sample.<\/p>\n<h3>For Individual Series<\/h3>\n<ol>\n<li>First, we change the data in ascending or descending order of their magnitude.<\/li>\n<li>If the number of observations is odd, then the middle value gives the median among all the data.<\/li>\n<li>Again, if the number of observations is even then there will be two middle values, the average of two middle values gives the median.<\/li>\n<li>The formula for computing the median in case of individual series is given by<\/li>\n<\/ol>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-498\" src=\"https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_131506-300x41.png\" alt=\"Median Individual\" width=\"300\" height=\"41\" srcset=\"https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_131506-300x41.png 300w, https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_131506.png 405w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>where,<\/p>\n<p>n=Number of Observations<\/p>\n<h3>For discrete series,<\/h3>\n<ol>\n<li>Arrange the data in ascending order of their magnitude.<\/li>\n<li>From the cumulation frequency table.<\/li>\n<li>Find the value of\u00a0 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-500\" src=\"https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_131949.png\" alt=\"n+1\" width=\"93\" height=\"24\" \/>.<\/li>\n<li>See the cumulation frequency table equal to or just greater than <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-500\" src=\"https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_131949.png\" alt=\"n+1\" width=\"93\" height=\"24\" \/>.<\/li>\n<li>Note the corresponding value of x which gives the value of the median.<\/li>\n<\/ol>\n<p>where,<\/p>\n<p>N=Number of Observations<\/p>\n<h3>For Continuous Series,<\/h3>\n<ol>\n<li>Prepare a c.f. table.<\/li>\n<li>Find <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-501\" src=\"https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_132221.png\" alt=\"N\/2\" width=\"68\" height=\"24\" \/><\/li>\n<li>See if the value in c.f. the table is equal to or greater than <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-501\" src=\"https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_132221.png\" alt=\"N\/2\" width=\"68\" height=\"24\" \/>, note the class.<\/li>\n<li>The corresponding class contains the value of the median and is called the median class.<\/li>\n<li>The following formula is used in finding the median:<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-502\" src=\"https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_133213-300x60.png\" alt=\"Continuous Median\" width=\"300\" height=\"60\" srcset=\"https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_133213-300x60.png 300w, https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_133213-326x66.png 326w, https:\/\/bcisnotes.com\/thirdsemester\/wp-content\/uploads\/2020\/01\/vme_img_22012020_133213.png 329w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/li>\n<\/ol>\n<p>where<\/p>\n<p>l=lower limit of the median class<\/p>\n<p>f=frequency of the median class<\/p>\n<p>c.f.=c.f. of preceding median class<\/p>\n<p>h=size of the median class<\/p>\n<p>&nbsp;<\/p>\n<p>You may also like\u00a0<a href=\"https:\/\/bcisnotes.com\/thirdsemester\/business-statistics\/arithmetic-mean-measures-of-central-tendency-bcis-notes\/\" target=\"_blank\" rel=\"noopener noreferrer\">Arithmetic Mean\u00a0<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>Median Data The variable values dividing the total set of observations into two equal parts of the data is called the median data. For a\u00a0data <a class=\"mh-excerpt-more\" href=\"https:\/\/bcisnotes.com\/thirdsemester\/business-statistics\/median-data-measures-of-central-tendency-bcis-notes\/\" title=\"Median Data || Describing Data: Summary Measures || Bcis Notes\">[&#8230;]<\/a><\/p>\n<\/div>","protected":false},"author":4,"featured_media":504,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Median Data || Measures of Central Tendency || Bcis Notes<\/title>\n<meta name=\"description\" content=\"Median data is the variable values dividing the total set of observations into two equal parts from the given data.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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