# Consider the following distribution of 50 workers of a factory. Find the mean daily wages of the workers of the factory by using an appropriate method.

## Solution :

Let the assumed mean A = 150 and class size h = 50

So, $$u_i$$ = $$x_i – A\over h$$ = $$x_i – 150\over 20$$

So, $$\bar{x}$$ = A + h$$\sum f_iu_i\over f_i$$ = 150 + 20 $$\times$$ $$-12\over 50$$

= 150 – 4.8 = 145.2

Hence, mean = 145.20