# Find the average expenditure which is being done by the maximum number of manual workers.

## Solution :

The class (1500 – 2000) has maximum frequency i.e. 40, therefore this is the modal class.

Lower limit of the modal class = l = 1500

Class interval h = 500

Frequency of the modal class = $$f_k$$ = 40

Frequency of the class preceding the modal class = $$f_{k – 1}$$ = 24

Frequency of the class succeeding the modal class = $$f_{k + 1}$$ = 33

We know that,

Mode = l + h($$f_k – f_{k-1}\over 2f_k – f_{k-1} – f_{k+1}$$)

= 1500 + 500($$40 – 24\over 2(40) – 24 – 33$$)

= 1500 + 500($$16\over 23$$)

= 1500 + 347.83

= 1847.83

Hence, the average expenditure done by the maximum number of manual workers is 1847.83.