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A grouped frequency distribution table with classes of equal sizes using 63-72 (72 included) as one of the class is constructed for the following data :

30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20,15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44.

The number of classes in the distribution will be :

\\(A) 9 \\ (B) 10 \\ (C) 11 \\ (D) 12

Answers (1)

Answer: B

30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20,15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44.

The minimum number in the data is 14 and the maximum number is 112.

Classes of equal sizes using 63-72 are to be constructed.

So, the intervals are as following:

13-22, 23-32, 33-42, 43-52, 53-62, 63-72, 73-82, 83-92, 93-102, 103-112

The number of class interval is 10.

Therefore option (B) is correct.

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