Percentile Calculator
Calculate percentile instantly with our math tool. Shows detailed work, formulas used, and multiple solution methods. Free to use with no signup required.
Reviewed by Manoj Kumar, Mathematics Educator
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Rank = (P/100) × (n−1) (0-based linear interpolation, equivalent to NumPy default) | If rank is not integer, interpolate between adjacent values
The Pth percentile is the value below which P% of the data falls. Uses linear interpolation between data points.
Worked Examples
Example 1: Test scores
Problem:Scores: 65,70,75,80,85,90,95. Find P75
Solution:Rank=0.75×(7−1)=0.75×6=4.5 → interpolate between nums[4]=85 and nums[5]=90: 85+0.5×(90−85)=87.5
Result:P75 = 87.5
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy