Free online cumulative frequency calculator – quick and easy way to calculate the cumulative frequency of data values. Simply enter the data values and then click the calculate button.
Enter the number seperated by commas
Data Values | Frequency | Cumulative Frequency |
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What is a cumulative frequency?
Cumulative frequency, also known as cumulative frequency distribution, is a statistical concept used to analyze and describe data distribution in a dataset. It is a way to summarize and present the frequency of values or observations in a dataset in a tabular or graphical format.
Cumulative Frequency Formula
Formula to calculate cumulative frequency:
Cumulative Frequency (CF) = Cumulative Frequency of Previous Value + Frequency of the Current Value
How to calculate cumulative frequency?
To calculate the cumulative frequency for a given data set, you need to follow these steps:
- Organize the data in ascending order.
- Create a table with two columns: one for the data values and another for the cumulative frequency.
- Starting with the first data value, the cumulative frequency for that value is the same as its frequency.
Solved Example
Example – Following dataset of exam scores for a class of 10 students:
Exam Scores: 72, 85, 64, 90, 78, 91, 76, 88, 70, 82
Solve:-
First, organize the data in ascending order:
64, 70, 72, 76, 78, 82, 85, 88, 90, 91
Create a table with three columns: The data value, frequency and cumulative frequency (CF).
Data Value | Frequency (f) | Cumulative Frequency (CF) |
---|---|---|
64 | 1 | 1 |
70 | 1 | 2 |
72 | 1 | 3 |
76 | 1 | 4 |
78 | 1 | 5 |
82 | 1 | 6 |
85 | 1 | 7 |
88 | 1 | 8 |
90 | 1 | 9 |
91 | 1 | 10 |