Question

find the mode of the following distribution: class interval 0-20,20-40,40-60,60-80 and frequency 15,6,18,10​

Answer 1

Answer:

Class = 0-20, 20-40, 40-60, 60-80, 80-100

Frequency = 15, 6, 18, 10, 5

The maximum class frequency is 18 and the class corresponding to this frequency is 40-60.

So, the modal class is 40-60.

Here, lower limit of modal class l= 40

class size h= 20

Frequency of the modal class  

Frequency of class preceding the modal class  

Frequency of class succeeding the modal class  

We need to calculate the mode

Using formula of mode

Put the value into the formula

Hence, The mode is 52.