How this calculator works
Values are sorted numerically, and the percentile position is measured from the first through the last observation. This is the inclusive (N−1) interpolation convention, often called type 7. Other software may use different sample-quantile methods.
The formula
Position = (N−1) × percentile/100. Interpolate between the observations immediately below and above that zero-based position.A quick example
For 10, 20, 30 and 40, the 25th-percentile position is 0.75. The result is 10 + 0.75 × (20−10) = 17.5.
How to use this calculator
- Choose the settings that match your scenario, using the units shown beside each field.
- Enter number list, percentile (0–100).
- Calculate, then review the method and assumptions alongside the results.
A few common questions
Why does another tool give a different percentile?
Percentile conventions differ, particularly for small samples. Compare the interpolation method before comparing answers.
What do the endpoints return?
The 0th percentile returns the minimum and the 100th returns the maximum.