Percentile Calculator

Linear interpolation • Nearest rank • value:count supported

Inputs

Numbers

Separators: comma, space, newline, semicolon. Frequency format: value:count, where count must be a positive integer.

Percentile (p)

p %

If left blank, the calculator uses 50.

Method

Linear interpolation can return an in-between value. Nearest rank always returns an observed data point.

Options Show sorted preview

Large datasets are previewed in compressed form.

Action

Updating…

Percentile formulas vary across textbooks and software; nearest rank and interpolation can return slightly different answers for the same dataset.

Use this Percentile Calculator to find a percentile value from a numeric dataset using either linear interpolation or the nearest-rank method.

Calculation Methods

Nearest rank:

Rank = ceiling[(p ÷ 100) × n]

The value at that position in the sorted dataset is the percentile value.

Linear interpolation:

Position = 1 + (p ÷ 100) × (n − 1)

If the position falls between two values, the calculator interpolates between them.

Example

For the dataset:

2, 4, 6, 8, 10

Find the 40th percentile.

Nearest rank: ceiling(0.40 × 5) = 2, so the result is 4.

Linear interpolation: Position = 1 + 0.40 × 4 = 2.6, giving 5.2.

Important Note

Different percentile methods can produce different answers for the same dataset. Use the method required by your class, software, or reporting standard.

Source

OpenStax Introductory Statistics 2e — Measures of the Location of the Data

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