Cumulative Frequency Table


 
 
Concept Explanation
 

Cumulative Frequency Table

In a discrete frequency distribution the cumulative frequency of a particular value of the variable is the total of all frequencies of the values of the variable which are less than or equal to the particular value.

For example, the following table gives the frequency distribution of number of children in 20 families. If X denotes the number of children in a family, then cumulative frequency of X=2 is 11. Because there are 11 families in which the number of children is either 1 oe 2. The cumulative frequency of X =3 is 15. This means that there are 15 families in which the number of children is 3 or less. Similarly, cumumlative frequencies of X=4 and X=5 are 18 and 20 respectively. The following table gives the values of X and the corresponding cumulative frequencies.

No. of children No. of families ( frequency) Cumulative frequency
1 5 5
2 6 11
3 4 15
4 3 18
5 2 20
Total 20
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Sample Questions
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Question : 1

From the following data,the cumulative frequency for the income 1500 is _________________ .

Income (In Rs) 1000 1100 1200 1300 1400 1500
No. of Persons 25 13 12 11 7 23
Right Option : C
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Question : 2

From the following data,the class having cumulative frequency as 43 is __________________ .

Marks 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70
No. of Students 5 13 9 16 7 3
Right Option : D
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Explanation
Question : 3

From the following data,the cumulative frequency for the income 200 is _________________ .

Income (In Rs) 100 200 300 400 500 600
No. of Persons 15 13 12 11 7 10
Right Option : B
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Explanation
 
 
 


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