Critical Thinking: Data Transformation In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 5, 9, 10, 11, 15.

(a) Use the defi ning formula, the computation formula, or a calculator to compute s.

(b) Multiply each data value by 5 to obtain the new data set 25, 45, 50, 55,