How to use

Sample percentiles do not have one universal convention, so this tool exposes its assumption instead of hiding it: inclusive linear interpolation (Type 7) or nearest rank. The selected method is also used for quartiles and IQR.

Paste values separated by commas, spaces, semicolons or line breaks.
Enter a percentile from 0 to 100.
Choose linear interpolation or nearest rank.
Review the percentile, quartiles, median, IQR and data range.

How it is calculated

Linear: h=(n−1)p then interpolate between neighboring sorted values; nearest-rank: k=⌈pn⌉

Example

For 10,20,30,40 using Type 7, P75 lies at position 2.25 between 30 and 40, giving 32.5.

Important notes

Software and textbooks can differ slightly because percentile-position conventions vary. Match the method when comparing results, and do not confuse a statistical percentile with an ordinary percentage.

Frequently asked questions

Why do percentile tools disagree?

Several common sample-position conventions exist.

What is Type 7?

Linear interpolation at h=(n−1)p, a widely used statistical convention.

What is IQR?

Q3−Q1, the spread of the middle 50% of the data.

Is this calculator free?

Yes. It is free to use and requires no account.

Percentile Calculator