{"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, ….. , 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"},"content":{"rendered":"

Solution :<\/h2>\n

Since variance is independent of change of origin.<\/p>\n

Therefore, variance of observations 101, 102, …. , 200 is same as variance of 151, 152, ….. 250.<\/p>\n

\\(\\therefore\\)\u00a0 \\(V_A\\) = \\(V_B\\)<\/p>\n

\\(\\implies\\)\u00a0 \u00a0\\(V_A\\over V_B\\) = 1<\/p>\n

\n

Similar Questions<\/h3>\n

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

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

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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":"

Solution : Since variance is independent of change of origin. Therefore, variance of observations 101, 102, …. , 200 is same as variance of 151, 152, ….. 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 …<\/p>\n

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<\/span> Read More »<\/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":"\nSuppose 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, …. , 200 is same as variance of 151, 152, ….. 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 … Suppose a population A has 100 observation 101, 102, ….. , 200 and another population B has 100 observations 151, 152, …. , 250. 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