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 class0interval.

Minimum number of book shelves is 16 and maximum number of book shelves is 45.


Range = Maximum number of book shelves – Minimum number of book shelves


= 45 – 16


= 29


Given, Class interval is 45-49. So, class size = 49 – 45


= 4


Therefore, No. of classes =


= = 7.25


Number of classes = 8


The cumulative distribution frequency is as follows:


No. of books



No. of shelves (Frequency)



Cumulative frequency



13-17



1



1



17-21



6



7



21-25



11



18



25-29



15



33



29-33



12



45



33-37



5



50



37-41



6



56



41-45



3



59



45-49



1



60



6