Question

Consider the following distribution of daily wages of 50 workers of a factory

Find the mean daily wages of the workers of the factory by using an appropriate method.

Answer 1

Here the x_i are of large numerical values. 

So we use deviation method then,

\(\overline{x}= a+\frac{\Sigma f_id_i}{\Sigma f_i}\)

Here the assumed mean is taken as 275. 

∴ \(\overline{x}= a+\frac{\Sigma f_id_i}{\Sigma f_i}\)

= 275 + \(\frac{1900}{50}\)

= 275 + 38 

= 313.