Every number in a data set is increased by

MATHEMATICS · Single correct · AP · AP Statistics · Exploring One-Variable Data · Exploring One-Variable Data

Problem

7

. Let

\bar{x},\sigma_x

be the original mean and standard deviation, and

\bar{y},\sigma_y

be the new ones. Which statement is always true? (a)

\bar{y}=\bar{x}+7

and

\sigma_y=\sigma_x+7

(b)

\bar{y}=\bar{x}

and

\sigma_y=\sigma_x

(c)

\bar{y}=\bar{x}+7

and

\sigma_y=\sigma_x

(d)

\bar{y}=\bar{x}+7

and

\sigma_y=7\sigma_x