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. Technical calculation version: 1.
- 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.