Relative Frequency Calculator
Build a frequency table from a data list, showing each value's count, relative frequency, and cumulative frequency.
Total data points
9
Relative frequency is each value's count divided by this total.
| Value | Count | Rel. freq. | Cum. count | Cum. rel. |
|---|---|---|---|---|
| 4 | 1 | 0.1111 | 1 | 0.1111 |
| 5 | 2 | 0.2222 | 3 | 0.3333 |
| 6 | 3 | 0.3333 | 6 | 0.6667 |
| 7 | 2 | 0.2222 | 8 | 0.8889 |
| 8 | 1 | 0.1111 | 9 | 1 |
Relative frequencies add up to 1 (100%). The cumulative column shows the running share of data at or below each value.
How it works
A frequency table is the quickest way to see how a data set is distributed. This calculator scans your list, groups identical values together, and counts how many times each one shows up. Those counts are the raw frequencies.
The relative frequency of a value is its count divided by the total number of data points, so it tells you what share of the data that value represents. Add the relative frequencies from smallest value to largest and you get the cumulative relative frequency — the running proportion of data at or below each value.
Because relative frequencies are proportions, they always add up to 1 (or 100%). That makes them handy for comparing data sets of different sizes and for reading off percentiles straight from the cumulative column.
Frequently asked questions
What's the difference between frequency and relative frequency?
Frequency is the plain count of how many times a value appears. Relative frequency divides that count by the total number of observations, turning it into a proportion between 0 and 1 that describes the value's share of the whole data set.
What is cumulative frequency used for?
Cumulative frequency adds up the counts as you move through the sorted values, showing how many data points fall at or below each one. The cumulative relative version does the same with proportions, which is exactly what you read to find percentiles.
Do the relative frequencies always sum to 1?
Yes. Since every data point belongs to exactly one value, the counts add up to the total and their proportions add up to 1 (100%). If your total shows something else, a value was likely miscounted or left out.