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A variable X is expressed as a linear fu...

A variable X is expressed as a linear function of two variables u and v in the form X = au +bv.
Then the mean `overlineX` 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

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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