Question

Given 1 mile ≈ 1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)

Answer 1

You recorded the weekly distance you bicycled in miles and computed the standard deviation to be s= 3.1 miles. your friend wants to know the standard deviation in kilometers. Do you need to redo all the calculations?

No need to redo all the calculations. we use the given standard deviation. We convert the given standard deviation miles into kilometers.

Given 1 mile ≈ 1.6 kilometers

So 3 miles = 1.6 * 3.1 = 4.96 kilometers

standard deviation = 4.96 kilometers.