Percentile Calculator
Find a percentile or a percentile rank from a list of data, or compute a percentile from a mean and standard deviation using the normal distribution.
75th percentile
32.25
from 10 values
Data percentiles use linear interpolation (Excel PERCENTILE.INC). The mean/Ο mode assumes a normal distribution and inverts it with a probit approximation.
Frequently Asked Questions
How do I find a percentile from a data set?
Sort the data, then find the position for your percentile and read off (or interpolate) the value at that position. This calculator uses the linear-interpolation method: rank = (P/100) Γ (n β 1), then it interpolates between the two nearest sorted values.
What is a percentile rank?
A percentile rank is the percentage of values in a data set that are below a given value. If you scored higher than 80% of test-takers, your percentile rank is 80.
What is the difference between a percentile and a percentage?
A percentage is a fraction out of 100 (you got 80% of questions right). A percentile is a position relative to others (you scored better than 80% of people). They can be very different numbers for the same result.
How do I find a percentile from a mean and standard deviation?
Convert the percentile to a z-score using the inverse normal distribution, then apply value = mean + z Γ standard deviation. This assumes the data follow a normal distribution. This calculator does it for you in the mean/Ο mode.
Why do percentile calculators sometimes disagree?
There are several accepted methods (nearest-rank, linear interpolation, and variants used by Excel). They agree at the ends and on large data sets but can differ slightly in the middle of small samples. This calculator notes which method it uses.