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