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
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 overline(U)-b overline(V)`
B. `overline (U)+overline(V)`
C. `b overline(U)+a overline(V)`
D. None of these
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Correct Answer - 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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