# Question: in this problem we explore the effect on the standard...

###### Question details

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, 7, 11, 4.

(a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.)

(b) Multiply each data value by 4 to obtain the new data set 20,
36, 28, 44, 16. Compute *s*. (Round your answer to one
decimal place.)

(c) You recorded the weekly distances you bicycled in miles and
computed the standard deviation to be *s* = 2.5miles. Your
friend wants to know the standard deviation in kilometers. Given 1
mile ≈ 1.6 kilometers, what is the standard deviation in
kilometers? (Enter your answer to two decimal places.)