Q.

If the S.D. of a set of observations is 8 and if each observation is divided by - 2, the S.D. of the new set of observations will be

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answer is 4.

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Detailed Solution

We know that if X and Y are two variables such  that Y=Xa,a≠0. Then,Y=Xa,a≠0∴ S.D. of the new observations =8|−2|=4
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If the S.D. of a set of observations is 8 and if each observation is divided by - 2, the S.D. of the new set of observations will be