Q.

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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a

au¯+bv¯

b

u¯+v¯

c

b¯u+a¯v

d

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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