Find the mode of the following distribution.

Class-interval:	25-30	30-35	35-40	40-45	45-50	50-60
Frequency:	25	34	50	42	38	14

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 35-40 has the maximum frequency(50).

Therefore, it is the modal class.

Here,

$l=35, h=5, f=50, f_1=34, f_2=42$

We know that,

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

$=35+\frac{50-34}{2 \times 50-34-42} \times 5$

$=35+\frac{16}{100-76} \times 5$

$=35+\frac{80}{24}$

$=35+3.33$

$=38.33$

Hence, the mode of the given distribution is 38.33.    

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Updated on: 10-Oct-2022

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