Percentile calculator
Compute a percentile of a list using linear interpolation.
How do I use this page?
- Enter values or use the example in the form.
- Choose a mode or units where available.
- Read the result and check the calculation steps below.
What this page does not do: Percentile definitions can produce different results, especially in small samples. Up to 200 numbers.
Further reading
Theory — how is a percentile of a number list calculated?
A percentile shows the value below which a given percentage of sorted observations falls. The calculator first sorts the numbers in ascending order, then applies linear interpolation: for N values the zero-based position equals h, where h is (N minus 1) times p divided by 100. For the example 10, 20, 30, 40 with the 25th percentile, the position is 0.75, giving a result of 17.5. This is interpolation type seven, different from the nearest-rank method used in some statistics.
Frequently asked questions
How is the result calculated?
What are the limitations?
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Basic calculator
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