# If you multiply each entry of a set by 3 and added 1, how would the mean and standard deviation change?

Let Y = 3X + 1, then if $\overline{x}$ and $\sigma$ are the mean and S.D. of X, then those of y are respectively $\overline{y}$ = 3$\overline{x}$ + 1 and
${\sigma}_{y}$ = 3 ${\sigma}_{x}$