{"id":6973,"date":"2021-10-22T02:25:59","date_gmt":"2021-10-21T20:55:59","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6973"},"modified":"2021-10-25T09:31:51","modified_gmt":"2021-10-25T04:01:51","slug":"a-scientist-is-weighing-each-of-30-fishes-their-mean-weight-worked-out-is-30-g-and-a-standard-deviation-of-2-g-later-it-was-found-that-the-measuring-scale-was-misaligned-and-always-under-reported-e","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/a-scientist-is-weighing-each-of-30-fishes-their-mean-weight-worked-out-is-30-g-and-a-standard-deviation-of-2-g-later-it-was-found-that-the-measuring-scale-was-misaligned-and-always-under-reported-e\/","title":{"rendered":"A scientist is weighing each of 30 fishes. Their mean weight worked out is 30 g and a standard deviation of 2 g. Later, it was found that the measuring scale was misaligned and always under reported every fish weight by 2 g. The correct mean and standard deviation in gram of fishes are respectively."},"content":{"rendered":"

Solution :<\/h2>\n

Correct mean = old mean + 2 = 30 + 2 = 32<\/p>\n

As standard deviation is independent of change of origin.<\/p>\n

Hence, it remains same.<\/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

The mean and the variance of a binomial distribution are 4 and 2, respectively. Then, the probability of 2 success is<\/a><\/p>\n

If mean of the series \\(x_1\\), \\(x^2\\), \u2026.. , \\(x_n\\) is \\(\\bar{x}\\), then the mean of the series \\(x_i\\) + 2i, i = 1, 2, \u2026\u2026, n will be<\/a><\/p>\n

The variance of first 50 even natural numbers is<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : Correct mean = old mean + 2 = 30 + 2 = 32 As standard deviation is independent of change of origin. Hence, it remains same. Similar Questions The mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, then P(X = 1) is The median …<\/p>\n

A scientist is weighing each of 30 fishes. Their mean weight worked out is 30 g and a standard deviation of 2 g. Later, it was found that the measuring scale was misaligned and always under reported every fish weight by 2 g. The correct mean and standard deviation in gram of fishes are respectively.<\/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":"\nA scientist is weighing each of 30 fishes. Their mean weight worked out is 30 g and a standard deviation of 2 g. 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