JEE MATHEMATICS MCQ: STATISTICS

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Mean and variance of 10 positive observations is 7 and 8. If we add 5 to each number then sum of mean
and variance of new data is

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Correct option: B

Option B (20) is correct because adding a constant to each observation increases the mean by that constant, while the variance remains unchanged. Therefore, the sum of the new mean and variance is 7 + 5 + 8 = 20.

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{x_1},{x_2}, \ldots ,{x_n}

\bar X,

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{x_i} + 2\;i;i = 1,\;2, \ldots ,n

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-2,

the s.d. of the new set of observations will be