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#37914

statistics

hard

120 sec

A data set has a mean of $μ$ and a standard deviation of $σ$ . A new data set is created by first multiplying each value in the original data set by 3, and then subtracting 5 from the result. Which of the following expressions represents the mean and standard deviation of the new data set?

A.

Mean: $3 μ - 5$ ; Standard Deviation: $3 σ - 5$

B.

Mean: $3 μ - 5$ ; Standard Deviation: $3 σ$

C.

Mean: $3 μ$ ; Standard Deviation: $3 σ$

D.

Mean: $μ - 5$ ; Standard Deviation: $σ$