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If the S.D. of a set of observations is ...

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

A

-4

B

-8

C

8

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
If a set of observations, with SD σ, are multiplied with a non-zero real number, a, then SD of the new observations will be
`|alpha|sigma`
Dividing the set of observations by `-2` is the same as multiplying the observations by `-1/2`
New S.D = `|-1/2| times 8=8/2=4`
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