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.

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Solution

Greatest number = 43
Lowest number = 16
Range = 43 - 16 = 27
Cumulative frequency table is given below:

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Similar questions

Q. 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.

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. Construct a frequency distribution table from the following cumulative frequency distribution:-
(i)

\begin{matrix} Class Interval & Cumulative Frequency 10 - 19 & 8 20 - 29 & 19 30 - 39 & 23 40 - 49 & 30 \end{matrix}

(ii)

\begin{matrix} Class Interval & Cumulative Frequency 5 - 10 & 18 10 - 15 & 30 15 - 20 & 46 20 - 25 & 73 25 - 30 & 90 \end{matrix}

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Greatest number = 43 Lowest number = 16 Range = 43 - 16 = 27 Cumulative frequency table is given below:

Greatest number = 43
Lowest number = 16
Range = 43 - 16 = 27
Cumulative frequency table is given below: