Find the mode of the following distribution.

Class:	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency:	8	10	10	16	12	6	7

To do:

We have to find the mode of the given distribution.

Solution:

The frequency of the given data is as given below:

We observe that the class interval of 30-40 has the maximum frequency(16).

Therefore, it is the modal class.

Here,

$l=30, h=10, f=16, f_1=10, f_2=12$

We know that,

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

$=30+\frac{16-10}{2 \times 16-10-12} \times 10$

$=30+\frac{6}{32-22} \times 10$

$=30+\frac{60}{10}$

$=30+6$

$=36$

Hence, the mode of the given distribution is 36.     

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Updated on: 10-Oct-2022

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