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Math·Problem-Solving and Data Analysis·One-variable data: Distributions and measures of center and spread

hard

A data set has a mean of 18 and a standard deviation of 4. A new data set is created by applying the transformation $y=1.5x-7$ to every value $x$ in the original data set. Which pair gives the mean and standard deviation, respectively, of the new data set?

A

20 and 6

B

20 and 1

C

27 and 6

D

34 and 1