Q.

Variance is independent of change of

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a

origin only

b

scale only

c

origin and scale both

d

none of these

answer is A.

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Detailed Solution

If x1,x2,…,xn are n values of a variable X and U is a variable taking values u1,u2,…,un such that ui=xi−ahi.e.xi=a+hui,i=1,2,…,n. Then,Var⁡(X)=h2Var⁡(U)⇒Variance is independent of change of origin but not scale.
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