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 15, 5, 6, 14, 16.
(b) Multiply each data value by 7 to obtain the new data set 105, 35, 42, 98, 112. Compute s. (Round your answer to four decimal places.)
(c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c?
Given 1 mile ≈ 1.6 kilometers, what is the standard deviation in kilometers? (Enter your answer to two decimal places.)
s = km
12, 4, 10, 4, 16
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