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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Similar questions

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 frequency distribution table using 45-49 as the last class interval.

The marks obtained by 25 students in a class are as follows

22, 28, 30, 32, 35, 37, 40, 41, 43, 44, 45, 45, 48, 49, 52, 53, 54, 56, 56, 58, 60, 62, 65, 68, 69

(i) Arrange the above data on frequency distribution taking class interval.

20-29, 30-39, 40-49, 50-59, 60-69

(ii) Form the cumulative frequency distribution.

Question 95(i)

The weights (in kg) of 30 students of a class are as follows :
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37,
31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26
Prepare a frequency distribution table using one class interval as (30-35), 35 not included.
(i) Which class has the least frequency ?

Question 100(i)

Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40-45 (45 not included):
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37,
53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68
How many classes are there in the frequency distribution table ?

Q. In the following grouped frequency distribution table class marks are given.

Class Marks	$10$	$22$	$34$	$46$	$58$	$70$
Frequency	$6$	$14$	$20$	$21$	$9$	$5$

(i) Construct class intervals of the data. (Exclusive class intervals)
(ii) Construct less than cumulative frequencies and
(iii) Construct greater than cumulative frequencies

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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:

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: