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 C 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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