Percentile & Quartile Calculator
Statistics & ProbabilityCalculate custom percentiles (p-th percentile), quartiles (Q1, Median Q2, Q3), Interquartile Range (IQR), and percentile ranks for any pasted numerical dataset.
Q1 = 20 · Median (Q2) = 29 · Q3 = 37.5 · IQR = 17.5
About this calculator
Percentiles and quartiles divide ordered numerical datasets into percentage slices, indicating the relative standing of individual data points within standardized test scores (SAT/GRE), infant growth charts, or income distributions.
This calculator sorts your numerical dataset, computes key quartile benchmarks (25th, 50th, 75th percentiles), evaluates the IQR (Q3 - Q1) for outlier detection, and solves for any custom percentile rank.
How It Works & Formula
Linear interpolation method: Rank index R = p/100 × (N - 1) + 1. The percentile value interpolates between data points at floor(R) and ceil(R). IQR = Q3 - Q1.
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