Q1. The following table shows the number of overtime hours worked in one week per employee.

Question

Overtime hours 0 1 2 3 4 5 6

Number of employees 6 12 29 57 42 30 16

Find the mean of the random variable 𝑋. Explain your results

Answer 1

Mean of a frequency distribution = sum (hours (i) * number of employees (i)) / total number of employees

(0*6 + 1*12 + 2*29 + 3*57 + 4*42 + 5*30 + 6*16)/(6+12+29+57+42+30+16) = 655/192 = 3.41 hours