Find the mode of the following distribution.

Class-interval:	10-15	15-20	20-25	25-30	30-35	35-40
Frequency:	30	45	75	35	25	15

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 20-25 has the maximum frequency(75).

Therefore, it is the modal class.

Here,

$l=20, h=5, f=75, f_1=45, f_2=35$

We know that,

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

$=20+\frac{75-45}{2 \times 75-45-35} \times 5$

$=20+\frac{30}{150-80} \times 5$

$=20+\frac{150}{70}$

$=20+2.14$

$=22.14$

Hence, the mode of the given distribution is 22.14.   

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Updated on: 10-Oct-2022

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