MHT CET 2023 Mathematics question

The variance of 20 observations is 5. If each observation is multiplied by 2, then variance of resulting observation is

(A)5
(B)10
(C)4
(D)20Correct

Answer: (D)

Solution

If every observation is multiplied by a constant , the mean becomes and each deviation is multiplied by , so the variance is multiplied by : . Here , so

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Question ID VK-098359