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Question

What is the class interval and frequency of the 4th group for the following distribution table?

Marks Obtained Less than 5 Less than 10 Less than 15 Less than 20 Less than 25
No. of Students
(Cumulative)
4 6 10 13 17

A
Class interval: 20- 25 and Frequency: 13.
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B
Class interval: 21- 25 and
Frequency : 13.
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C
Class interval: 15- 20 and
Frequency: 3.
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D
Class interval: 15- 19 and
Frequency: 3.
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Solution

The correct option is B Class interval: 15- 20 and
Frequency: 3.
Upper limits have been given in the table and difference of the upper limits of different classes is 5.

Class intervals will be 0 - 5, 5 - 10, 10 - 15, 15 - 20, 20 -25.

Less than cumulative frequency distribution is given in the table.

The progressive sum of the frequencies from the first data value to a particular data value is the less than cumulative frequency.
Class intervals Frequency Cumulative frequency
0-5 4-0 = 4 4
5-10 6-4 = 2 6
10-15 10-6 = 4 10
15-20 13-10 = 3 13
20-25 17- 13 = 4 17

Hence for the 4th group, class interval is 15 -20 and frequency is 3.

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