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Question

The marks obtained by 40 students of a class in an examination are given below:
8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24, 45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34.
Prepare a frequency distribution table with equal class intervals, starting from 0−10 (where 10 not included).

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Solution

Arranging the given observations in ascending order, we get:

3, 7, 8, 11, 13, 14, 15, 15, 17, 18, 19, 21, 21, 21, 22, 22, 23, 24, 24, 25, 26, 27, 27, 29, 29, 31, 31, 34, 34, 34, 35, 37, 38, 38, 42, 45, 45, 47, 48, 49

Thus, the frequency distribution may be represented as shown below:
Marks Tally marks Frequency
0-10 ||| 3
10-20 |||| ||| 8
20-30 |||| |||| |||| 14
30-40 |||| |||| 9
40-50 |||| | 6
Total 40

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