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If the S.D. of $x_{1}, x_{2}, \dots, x_{n}$ is 5, then the SD, of $x_{1} + 5, x_{2} + 5, x_{3} + 5, \dots, x_{n} + 5$ , is

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Correct option is C

We know that S.D. is independent of change oforigin i.e. ifyi=axi+b,i=1,2,…,n. Then σy=|a|σxHence, variance of x1+5,x2+5,…,xn+5 is same as the variance of x1,x2,…,xn i.e.5.

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If the S.D. of x1,x2,…,xn is 5, then the SD, of x1+5,x2+5,x3+5,…,xn+5, is

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If the S.D. of $x_{1}, x_{2}, \dots, x_{n}$ is 5, then the SD, of $x_{1} + 5, x_{2} + 5, x_{3} + 5, \dots, x_{n} + 5$ , is