Question

The monthly income of 100 families are given as below: Income in (₹) 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. ​

Answer 1

Given : The monthly income of 100 families

To Find :  the modal income. ​

Solution:

0 – 5000                     8

5000 – 10000            26  

10000 – 15000           41

15000 – 20000           16

20000 – 25000          3

25000 – 30000         3

30000 – 35000          2

35000 – 40000          1

Max frequency 41 of group = 10000 – 15000    

Modal Income = 10000  +  5000 * (41 - 26) / ( 41 - 26 + 41 - 16)

= 10000 + 5000 * 15 / 40

=  10000 +  1875

= 11875

the modal income. ​ = 11875

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