The monthly income of 100 families are given as below:

Income in (in Rs.)	Number of families
0-5000	8
5000-10000	26
10000-15000	41
15000-20000	16
20000-25000	3
25000-30000	3
30000-35000	2
35000-40000	1

Calculate the modal income.

Given:

The monthly income of 100 families are given.

To do:

We have to find the modal income.

Solution:

The frequency of the given data is as given below.

We observe that the class interval of 10000-15000 has the maximum frequency(41).

Therefore, it is the modal class.

Here,

$l=10000, h=5000, f=41, f_1=26, f_2=16$

We know that,

Mode $=l+\frac{f-f_1}{2 f-f_1-f_2} \times h$

$=10000+\frac{41-26}{2 \times 41-26-16} \times 5000$

$=10000+\frac{15}{82-42} \times5000$

$=10000+\frac{75000}{40}$

$=10000+1875$

$=11875$

The modal income is Rs. 11875. 

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

41 Views

Kickstart Your Career

Get certified by completing the course

Get Started