Questions
Variance is independent of change of
a
origin only
b
scale only
c
origin and scale both
d
none of these
detailed solution
Correct option is A
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.Talk to our academic expert!
Similar Questions
The standard deviation of some temperature data in oC is 5. If the data were converted into oF, the new variance would be
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