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If a variate x is expressed as a linear ...

If a variate `x` is expressed as a linear function of two variates `u` and `v` in the form `x=au+bv`, then mean `bar(x)` of `x` is

A

a) `a overline(U)-b overline(V)`

B

b) `overline (U)+overline(V)`

C

c) `b overline(U)+a overline(V)`

D

d) None of these

Text Solution

Verified by Experts

The correct Answer is:
D
We have `sumX=a sumV`. Therefore,
`overline(X)=(1)/(n) sum X=a.(1)/(n)sum U+b.(1)/(n)sum V=a overline(U)+b overline(V)`
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