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