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Question 9
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

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Solution

The answer is B.
We arrange the given data into groups like 13 - 22, 23 - 32, ……….103 - 112.

(since our data is from 14 to 112). The class width, in this case, is 9.
Now, the given data can be arranged in tabular form as follows.

Class intervalTally marksFrequency1322||||42332||23342|||34352|||35362|16372||27382/||||58392|||393102|||3103112||||4

Hence, the number of classes in distribution will be 10.


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