The table below shows the distribution of ages of workers in a company. Age/ yr 17 - 21 22 - 26 27 - 31 32 - 36 37 - 41 42 - 46 47 - 51 52 - 56 Workers 12 2...

Question 1 Report

The table below shows the distribution of ages of workers in a company.

Age/ yr 17 - 21 22 - 26 27 - 31 32 - 36 37 - 41 42 - 46 47 - 51 52 - 56
Workers 12 24 30 37 45 25 10 7

(a) Using an assumed mean of 39, calculate the (i) mean (ii) standard deviation; of the distribution.

(b) If a worker is selected at random from the company for an award, what is the probability that he is at most 36 years old?