Question

Find the mode of the following data.
Marks
20-30 30-40
No.of students 3
7
40-50
50 - 60
60-70
70 - 80
11
9
6
4​

Answer 1

Here:

Maximum class frequency is 45.

the class corresponding to Maximum class frequency is the modal class.

So, Modal class =30−40

Lower limit =I=30

Modal class size =h=10

Frequency of class preceding the modal class =f

0

=35

Frequency of the modal class f

1

=45

Frequency of class succeeding the modal =f

2

=25

Mode formula is given by,

Mode =I+(

2f

1

−f

0

−f

2

f

1

−f

0

)×h

Mode =30+(

2(45)−35−25

45−35

)×10

=30+

30

100

=33.33

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