1.

The mean of a set of observations is `a` . If each observation is multiplied by `b` and each product is decreased by `c`, then the mean of new set of observations isA. `(a)/(b)+c`B. `ab-c`C. `(a)/(b)-c`D. `ab+c`

Answer» Correct Answer - B
Let `x_(1),x_(2),x_(3), …, x_(n)` be n observations.
Let `y_(i)=bx_(i) -c, i=1,2, …, n.` Then,
`bar(Y)=b bar(X)-c rArr bar(Y) =ab-c.`


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