EVERYDAY CLARITY

Percentile Calculator

Find the value at a chosen percentile of a list using linear interpolation.

Enter your values

01
Separate values with commas, spaces or line breaks. Use dots for decimals; at most 10,000 values.
decimal [0,100]

Use dots for decimals in lists.

Your result
Value
7.5

Result for the values shown.

Calculations run in your browser.

What to enter
InputMeaning and units
NumbersSeparate values with commas, spaces or line breaks. Use dots for decimals; at most 10,000 values.
Percentiledecimal [0,100]

Understanding your result

These are descriptive results for the observations you entered, not proof of causation, significance or a particular population distribution.

Common mistakes

  • Comparing different quartile/percentile conventions, or treating an outlier fence as proof that data is wrong.

Check your calculation

  • Try a small hand-checkable list; confirm the stated quartile/rank/denominator convention before comparing with another application.

Calculation checks, sources and review limits

What value marks a chosen percentile of this list?

Find the value at a chosen percentile of a list using linear interpolation.

Common uses

  • Find the value at a chosen percentile of a list using linear interpolation.

How it works

Type7 quantile at p=percentile/100 Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits. Quantiles use linear interpolation with h=(n-1)p (Hyndman–Fan type 7). Other conventions can give different values.

Worked example

Enter Numbers: 0, 10, 20, 30; Percentile: 25. The result is Value: 7.5.

FAQ

What value marks a chosen percentile of this list?

Type7 quantile at p=percentile/100 Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits. Quantiles use linear interpolation with h=(n-1)p (Hyndman–Fan type 7). Other conventions can give different values.

What assumptions and limits apply?

Inputs and results must stay within the stated supported ranges.