The daily wages of 30 employees in an establishment are distributed as follows:
The daily wages of 30 employees in an establishment are distributed as follows:
Daily wages in Rs 0-10 10-20 20-30 30-40 40-50 50-60
No. of employees 1 8 10 5 4 2

Estimate the modal daily wages for this distribution by a graphical method.

Solution:

Daily wages in Rs. No. of employees
0-10 1
10-20 8
20-30 10
30-40 5
40-50 4
50-60 2

Taking daily wages on x-axis and No. of employees on the y-axis and draw a histogram as shown below.

Join AB and CD intersecting each other at M. From M draw ML perpendicular to x-axis.

L is the mode

Here Mode = Rs 23

Hence the mode is Rs. 23.