Enter the number seperated by commas
| Data Values | Frequency | Cumulative Frequency |
|---|
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.
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 |