Percentile Calculator
Enter a list of numbers and a percentile to find the value below which that percentage of the data falls.
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Computed with linear interpolation between ranked data points.
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Formula
About this calculator
A percentile is the value below which a given percentage of observations in a data set fall. The 25th percentile (the first quartile) is the value that 25% of the data lies below; the 50th percentile is the median; the 75th percentile is the third quartile.
This calculator first sorts your data, then locates the percentile using linear interpolation. It computes a fractional rank of (p / 100) × (n − 1) and, when that rank falls between two data points, blends them proportionally. This is the same exclusive-style interpolation method used by many spreadsheet and statistics tools, giving smooth, consistent results for any percentile from 0 to 100.
Frequently asked questions
A percentage measures a proportion of a whole, while a percentile is a position in a ranked data set. Being in the 90th percentile means you scored higher than 90% of the group, not that you got 90% of the questions right.
The data is sorted and a rank of (p / 100) × (n − 1) is computed. If that rank lands between two values, the calculator interpolates linearly between them for a precise result.
The 25th percentile is the first quartile (Q1), the 50th percentile is the median (Q2), and the 75th percentile is the third quartile (Q3).
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