1.

The mean of a set of numbers is `overline(X)`. If each number is divided by 3, then the new mean isA. `overline(X)`B. `overline(X)+3`C. `3 overline(X)`D. `(overline(X))/(3)`

Answer» Correct Answer - D
Let `x_(1),x_(2),..,x_(n)` be n numbers. Then `overline(X)=(1)/(n) underset(i=1)overset(n)sum x_(i)`.
If each number is divided by 3, then the new mean `overline (Y)` is given by
`overline(Y)=(1)/(n)underset(i=1)overset(1)sum((x_(i))/(3))=(1)/(3)((1)/(n)underset(i=1)overset(n)sum x_(i))=(overline(X))/(3)`


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