The marks in science of 80 students of class X are given below: Find the mode of the marks obtained by the students in science

Marks:	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Frequency:	3	5	16	12	13	20	5	4	1	1

Given:

The marks in science of 80 students of class X are given.

To do:

We have to find the mode of the marks obtained by the students in science.

Solution:

The frequency of the given data is as given below.

We observe that the class interval of 50-60 has the maximum frequency(20).

Therefore, it is the modal class.

Here,

$l=50, h=10, f=20, f_1=13, f_2=5$

We know that,

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

$=50+\frac{20-13}{2 \times 20-13-5} \times 10$

$=50+\frac{7}{40-18} \times 10$

$=50+\frac{70}{22}$

$=50+3.18$

$=53.18$

Hence, the mode of the marks obtained by the students in science is 53.18 marks.

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Updated on: 10-Oct-2022

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