{"id":6993,"date":"2021-10-22T14:30:45","date_gmt":"2021-10-22T09:00:45","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6993"},"modified":"2021-10-25T09:22:24","modified_gmt":"2021-10-25T03:52:24","slug":"suppose-a-population-a-has-100-observation-101-102-200-and-another-population-b-has-100-observations-151-152-250-if-v_a-and-v_b-represent-the-variance-of-the-two-popula","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/suppose-a-population-a-has-100-observation-101-102-200-and-another-population-b-has-100-observations-151-152-250-if-v_a-and-v_b-represent-the-variance-of-the-two-popula\/","title":{"rendered":"Suppose a population A has 100 observation 101, 102, &#8230;.. , 200 and another population B has 100 observations 151, 152, &#8230;. , 250. If \\(V_A\\) and \\(V_B\\) represent the variance of the two populations respectively, then \\(V_A\\over V_B\\) is"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Since variance is independent of change of origin.<\/p>\n<p>Therefore, variance of observations 101, 102, &#8230;. , 200 is same as variance of 151, 152, &#8230;.. 250.<\/p>\n<p>\\(\\therefore\\)\u00a0 \\(V_A\\) = \\(V_B\\)<\/p>\n<p>\\(\\implies\\)\u00a0 \u00a0\\(V_A\\over V_B\\) = 1<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\">Similar Questions<\/h3>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/the-mean-and-variance-of-a-random-variable-x-having-a-binomial-distribution-are-4-and-2-respectively-then-px-1-is\/\" aria-label=\"\u201cThe mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, then P(X = 1) is\u201d (Edit)\">The mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, then P(X = 1) is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/the-median-of-a-set-of-9-distinct-observations-is-20-5-if-each-of-the-largest-4-observation-of-the-set-is-increased-by-2-then-the-median-of-the-new-is\/\" aria-label=\"\u201cThe median of a set of 9 distinct observations is 20.5. If each of the largest 4 observation of the set is increased by 2, then the median of the new is\u201d (Edit)\">The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observation of the set is increased by 2, then the median of the new is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/the-mean-and-the-variance-of-a-binomial-distribution-are-4-and-2-respectively-then-the-probability-of-2-success-is\/\" aria-label=\"\u201cThe mean and the variance of a binomial distribution are 4 and 2, respectively. Then, the probability of 2 success is\u201d (Edit)\">The mean and the variance of a binomial distribution are 4 and 2, respectively. Then, the probability of 2 success is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-the-mean-deviation-about-the-median-of-numbers-a-2a-50a-is-50-then-a-is-equal-to\/\" aria-label=\"\u201cIf the mean deviation about the median of numbers a, 2a, \u2026. , 50a is 50, then |a| is equal to\u201d (Edit)\">If the mean deviation about the median of numbers a, 2a, \u2026. , 50a is 50, then |a| is equal to<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/the-mean-of-the-numbers-a-b-8-5-10-is-6-and-the-variance-is-6-80-then-find-the-values-of-a-and-b\/\" aria-label=\"\u201cThe mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then, find the values of a and b?\u201d (Edit)\">The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then, find the values of a and b?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Since variance is independent of change of origin. Therefore, variance of observations 101, 102, &#8230;. , 200 is same as variance of 151, 152, &#8230;.. 250. \\(\\therefore\\)\u00a0 \\(V_A\\) = \\(V_B\\) \\(\\implies\\)\u00a0 \u00a0\\(V_A\\over V_B\\) = 1 Similar Questions The mean and variance of a random variable X having a binomial distribution are 4 and &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/suppose-a-population-a-has-100-observation-101-102-200-and-another-population-b-has-100-observations-151-152-250-if-v_a-and-v_b-represent-the-variance-of-the-two-popula\/\"> <span class=\"screen-reader-text\">Suppose a population A has 100 observation 101, 102, &#8230;.. , 200 and another population B has 100 observations 151, 152, &#8230;. , 250. If \\(V_A\\) and \\(V_B\\) represent the variance of the two populations respectively, then \\(V_A\\over V_B\\) is<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,58],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Suppose a population A has 100 observation 101, 102, ..... , 200 and another population B has 100 observations 151, 152, .... , 250. If \\(V_A\\) and \\(V_B\\) represent the variance of the two populations respectively, then \\(V_A\\over V_B\\) is<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/suppose-a-population-a-has-100-observation-101-102-200-and-another-population-b-has-100-observations-151-152-250-if-v_a-and-v_b-represent-the-variance-of-the-two-popula\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Suppose a population A has 100 observation 101, 102, ..... , 200 and another population B has 100 observations 151, 152, .... , 250. If \\(V_A\\) and \\(V_B\\) represent the variance of the two populations respectively, then \\(V_A\\over V_B\\) is\" \/>\n<meta property=\"og:description\" content=\"Solution : Since variance is independent of change of origin. Therefore, variance of observations 101, 102, &#8230;. , 200 is same as variance of 151, 152, &#8230;.. 250. (therefore)\u00a0 (V_A) = (V_B) (implies)\u00a0 \u00a0(V_Aover V_B) = 1 Similar Questions The mean and variance of a random variable X having a binomial distribution are 4 and &hellip; Suppose a population A has 100 observation 101, 102, &#8230;.. , 200 and another population B has 100 observations 151, 152, &#8230;. , 250. 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If \\(V_A\\) and \\(V_B\\) represent the variance of the two populations respectively, then \\(V_A\\over V_B\\) is","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemerize.com\/suppose-a-population-a-has-100-observation-101-102-200-and-another-population-b-has-100-observations-151-152-250-if-v_a-and-v_b-represent-the-variance-of-the-two-popula\/","og_locale":"en_US","og_type":"article","og_title":"Suppose a population A has 100 observation 101, 102, ..... , 200 and another population B has 100 observations 151, 152, .... , 250. If \\(V_A\\) and \\(V_B\\) represent the variance of the two populations respectively, then \\(V_A\\over V_B\\) is","og_description":"Solution : Since variance is independent of change of origin. Therefore, variance of observations 101, 102, &#8230;. , 200 is same as variance of 151, 152, &#8230;.. 250. (therefore)\u00a0 (V_A) = (V_B) (implies)\u00a0 \u00a0(V_Aover V_B) = 1 Similar Questions The mean and variance of a random variable X having a binomial distribution are 4 and &hellip; Suppose a population A has 100 observation 101, 102, &#8230;.. , 200 and another population B has 100 observations 151, 152, &#8230;. , 250. If (V_A) and (V_B) represent the variance of the two populations respectively, then (V_Aover V_B) is Read More &raquo;","og_url":"https:\/\/mathemerize.com\/suppose-a-population-a-has-100-observation-101-102-200-and-another-population-b-has-100-observations-151-152-250-if-v_a-and-v_b-represent-the-variance-of-the-two-popula\/","og_site_name":"Mathemerize","article_published_time":"2021-10-22T09:00:45+00:00","article_modified_time":"2021-10-25T03:52:24+00:00","author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/suppose-a-population-a-has-100-observation-101-102-200-and-another-population-b-has-100-observations-151-152-250-if-v_a-and-v_b-represent-the-variance-of-the-two-popula\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/suppose-a-population-a-has-100-observation-101-102-200-and-another-population-b-has-100-observations-151-152-250-if-v_a-and-v_b-represent-the-variance-of-the-two-popula\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"Suppose a population A has 100 observation 101, 102, &#8230;.. , 200 and another population B has 100 observations 151, 152, &#8230;. , 250. 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