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

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au¯+bv¯

u¯+v¯

b¯u+a¯v

None of these

answer is A.

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Detailed Solution

Since,x=au+bv∴ Σx=aΣu+bΣv⇒ nx¯=a(nu¯)+b(nv¯)⇒ x¯=au¯+bv¯

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