Test Score Percentile Calculator
I have
Percentile rank
60th percentile
8 of the other 14 scores are lower, 1 ties with it and 5 are higher, ranking it #6 from the top (shared).
Median 83 · range 62–95 · 15 scores
Percentile rank = (scores below + ½ × scores equal) ÷ number of scores × 100, the definition most testing programs use. It is not the percentage of questions answered correctly.
Find the percentile rank of a test score within a list of everyone's scores, counting how many fall below, tie and fall above it, or from a mean and standard deviation when the scores are roughly normally distributed.
Formula
Worked Example
Eight of the 15 scores are below 84 and two equal it, so the percentile rank is (8 + ½ × 2) ÷ 15 × 100 = 60. The median of the class is 83, so 84 is just above the middle.
Frequently Asked Questions
Is a percentile the same as a percentage score?
No. A percentage score is the share of questions you answered correctly; a percentile rank is the share of test takers you scored above. 70% correct on a hard exam can be the 95th percentile.
How do I find a percentile from the mean and standard deviation?
Convert the score to a z-score, (score − mean) ÷ standard deviation, and look up the normal distribution's cumulative probability. A score one standard deviation above the mean is at about the 84th percentile, and two above at about the 98th.
Why do testing programs count ties as half?
Counting only scores strictly below would make a tie at the top look worse than it is, and counting ties fully would overstate it. Splitting ties is the standard definition of percentile rank used by most test publishers.