Question

The monthly income of 100 families are given as below

Calculate the modal income.

Answer 1

In a given data, the highest frequency is 41, which lies in the interval 1000-15000.
Here, l=10000, `f_(m)=41=26, f_(2)=16 and h=5000`
`"Mode""=l+(f_(m)-f_(1))/(2f_(m)-f_(1)-f_(2))xxh`
`=1000+((41-26)/(2xx41-26-16))xx5000`
`=1000+((15)/(82-42))xx5000`
`=1000+((15)/(40))xx5000`
`=1000+15xx125=10000+1875=11875`
Hence, the modal income is 11875.