Question

Find the mode of the following data: Class 0-20, 20-40, 40-60, 60-80, Frequency: 15, 6, 18, 10.

Answer 1

here is the answer... the mode for the following data is 52

Answer 2

Given that,

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 $f_{1}=18$

Frequency of class preceding the modal class $f_{0}=6$

Frequency of class succeeding the modal class $f_{2}=10$

We need to calculate the mode

Using formula of mode

$Mode =l+(\dfrac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}})\times h$

Put the value into the formula

$Mode=40+(\dfrac{18-6}{2\times18-6-10})\times20$

$Mode=52$

Hence, The mode is 52.