Cutoff by Percentile Calculator
Given a set of scores and a cutoff percentile (e.g., top 10%), compute the minimum score to make the cut. Useful for college admissions, HR.
How percentile cutoffs work
A percentile indicates the percentage of the population below a given cutoff. The ordinal position is position = (percentile / 100) Β· n, where n is the size of the sorted list. So the P90 of 100 scores is the value at position 90 once sorted ascending β 90% of the group scored at or below that value. The ENEM uses Item Response Theory (TRI) with mean around 500 and standard deviation near 100, so a 700 sits roughly at P97.
Concrete example: the SISU cutoff for Medicine at USP typically lands between 780 and 810 β that is the P99.5+ region, the top 0.5% of test-takers. FUVEST's first stage with 90 questions sets a cutoff per program based on classification position, not on a fixed grade. Unlike a normal distribution, scores in selective exams usually have a long upper tail: more candidates cluster at the top because the better-prepared self-select into competitive programs.
Practical applications
SISU and ProUni cutoffs, public service exams (Cespe, FCC, FGV β which rank by classification), school report cards (P50 is the class median), and salary benchmarking by role (P25, P50, P75 reveal compensation spread) all rely on percentile statistics. They answer questions raw averages cannot.
FAQ
Is "top 20%" the same as P80? Yes. "Top 20%" means the highest-scoring fifth; P80 is the value below which 80% of the population falls β anyone above P80 is in that top 20%.
Why does my percentile change between exams? Because percentile is relative to the cohort that took that exam. A 700 on ENEM 2024 may sit at P96 one year and P95 the next if the population shifts. The raw score and the percentile are not interchangeable across editions.
What is the difference between percentile and quartile? Quartiles are specific percentiles: Q1 = P25, Q2 = P50 (median), Q3 = P75. Quartiles split the data into four equal parts; percentiles let you pick any granularity from P1 to P99.
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