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Mathematics

Construct a frequency table for the following ages (in years) of 30 students using equal class-intervals, one of them being 9-12, where 12 is not included.

18, 12, 7, 6, 11, 15, 21, 9, 8, 13, 15, 17, 22, 19, 14, 21, 23, 8, 12, 17, 15, 6, 18, 23, 22, 16, 9, 21, 11, 16

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Answer

Given class is 9 - 12 (12 is not included)

so class size = 12 - 9 = 3

Minimum age = 6

Maximum age = 23

So the class intervals will be

6 - 9, 9 - 12, 12 - 15, 15 - 18, 18 - 21, 21 - 24

Frequency distribution table :

Ages (Class Interval)Tally-MarksFrequency
6 – 9IIII5
9 – 12IIII4
12 – 15IIII4
15 – 18IIII II7
18 – 21III3
21 – 24IIII II7
Total30

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