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Question

Find the approximate value of mode for the following data :

Class interval
7−14
14−21
21−28
28−35
35−42
Frequency
2
4
3
10
1

A
30
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B
32
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C
31
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D
35
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Solution

The correct option is C 31

Here frequency of class interval 2835 is maximum.

So, it is the modal class

Now l = lower limit of modal class =28

f1= frequency of modal class =10

f0=frequency of class preceding the modal class =3

f2= frequency of class succeeding the modal class =1

h= class interval width =7

So, Mode =l+(f1f02f1f0f2)×h

=28+(1032×1031)×7

=28+(7204)×7

=28+3.0625

=31.06

Mode31


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