Frequency Distribution Calculator
Group a dataset into equal-width bins and see the count and relative frequency of each interval.
| Range | Count | Relative % |
|---|---|---|
| 5 – 8.4 | 4 | 33.3% |
| 8.4 – 11.8 | 1 | 8.3% |
| 11.8 – 15.2 | 4 | 33.3% |
| 15.2 – 18.6 | 1 | 8.3% |
| 18.6 – 22 | 2 | 16.7% |
How it works
- 1Enter a list of numbers and choose how many bins (intervals) to create.
- 2The calculator finds the min and max, divides the range into equal-width bins, and counts how many values fall in each.
- 3Each row shows the interval boundaries, the raw count, and the percentage of total values it represents.
Use cases
- Summarising test scores or survey responses into readable bands.
- Exploring the distribution of measurements before choosing a statistical model.
- Preparing grouped-data tables for reports or further analysis such as histograms.
Frequently asked questions
How are bin boundaries calculated?
The range (max − min) is divided evenly by the number of bins. Each bin covers an interval of width = range ÷ binCount, starting at the minimum value.
What happens when all values are identical?
When every number is the same, a single bin spans that value and its count equals the total number of values entered.
How many bins should I use?
A common rule of thumb is the square root of the number of data points. For 25 values that gives about 5 bins; for 100 values, about 10. Adjust until the shape of the distribution is clear.
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