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Question

The number of books in different shelves of a library are as follows:

30, 32, 28, 24, 20, 25, 38, 37, 40, 45, 16, 20
19, 24, 27, 30, 32, 34, 35, 42, 27, 28, 19, 34,
38, 39, 42, 29, 24, 27, 22, 29, 31, 19, 27, 25
28, 23, 24, 32, 34, 18, 27, 25, 37, 31, 24, 23,
43, 32, 28, 31, 24, 23, 26, 36, 32, 29, 28, 21

Prepare a cumulative frequencies distribution table using 45-49 as the last class-interval.

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Solution

The minimum and maximum numbers of books in shelves are 16 and 45.

The range is.

Given that 45-49 is the last class-interval. So, the class size is.

Now calculate

Thus, the number of classes is 8.

The cumulative frequency distribution is the following:


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