Question

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

Answer 1

Let Y = 3X + 1, then if `barx` and `sigma` are the mean and S.D. of X, then those of y are respectively `bar y` = 3`barx` + 1 and
`sigma_y` = 3 `sigma_x`