Question

Roman runs 3 miles every morning. His mean time is 24.7 minutes and his standard deviation is 3.2 minutes. Which of the times is the least likely for Ramon to get?

Answer 1

His time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.

Explanation:

With an standard deviation of 3.2 minutes, it is clear that the maximum time taken by Roman to complete his run of 3 miles would be

Average time + standard deviation = 24.7 minutes + 3.2 minutes = 27.9 minutes

The minimum time taken by Roman to complete his run of 3 miles would be

Average time - standard deviation = 24.7 minutes - 3.2 minutes = 21.5 minutes

Hence, his time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.