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Formula verified · Deterministic calculation

Percentile Calculator

Enter a numeric dataset and percentile from 0 to 100 to calculate the requested percentile.

Percentile3.25
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Result methodology

Deterministic calculation using the displayed formula and supplied inputs.

Solution steps
  1. Sorted count = 4
  2. Position = 2.25
  3. Percentile = 3.25

How this calculator works

The calculator uses position h=p(n−1) and linearly interpolates between adjacent ordered observations.

Formula

P= x⌊h⌋ +(h−⌊h⌋)(x⌈h⌉−x⌊h⌋), h=p(n−1)

Uses linear interpolation between ordered observations.

Worked example

75th percentile is a verified test case used by the calculation engine.

Assumptions and limitations

  • The dataset contains numeric observations.
  • Percentile is between 0 and 100.
  • Linear interpolation uses the displayed position convention.

Methodology & sources

This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint.

  • CalcuMint deterministic statistics engine

Frequently asked questions

What is a percentile?

A percentile indicates the value at or below which a specified percentage of the ordered observations falls under the selected convention.

How are values between observations handled?

The calculator linearly interpolates between neighboring ordered values.

Related calculators

Quartile CalculatorCalculate Q1, Q2 or Q3 for a numeric dataset.Interquartile Range CalculatorCalculate the interquartile range, Q1 and Q3 to understand the spread of the middle half of a numeric dataset.Mean Median Mode Range CalculatorCalculate mean, median, mode, minimum, maximum and range from a dataset.