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If the standard deviation of x1,x2,,xn is 3.5, then the standard deviation of 2x13, 2x23,….. ,2xn3 is 

a
-7
b
-4
c
7
d
1.75

detailed solution

Correct option is A

We know that if di=xi−A1h . then σx=|h|σdIn this case −2xi−3=∣xi+3/2−1/2  so  h=←−1/2.  Thus σd=1|h|σx=-2×3.5=-7.

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