Find any percentile of your data — plus quartiles, median and box plot
Enter your numbers and choose a percentile to find the value at that position. Change the percentile and the result updates instantly. The calculator also reports the quartiles, median and a box plot.
Computed by linear interpolation (Excel PERCENTILE.INC / method R-7).
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A percentile is a value below which a given percentage of the data falls. If you score in the 90th percentile on a test, roughly 90% of test-takers scored at or below your score. Percentiles describe the relative position of a value within a data set, which is why they are widely used for exam scores, growth charts and benchmarking.
Quartiles are just three specific percentiles: the 25th (Q1), the 50th (the median) and the 75th (Q3). This calculator reports those automatically and lets you compute any other percentile from 0 to 100 with the input above.
There are several accepted methods for computing percentiles. This tool uses linear interpolation between the closest ranks — the same method as Excel’s PERCENTILE.INC (and the R-7 quantile type). It finds the position (n − 1) × p in the sorted data, where p is the percentile as a fraction, and interpolates between the two surrounding values when that position is not a whole number. For the quartiles shown in the summary, you can also switch between Tukey and Moore & McCabe methods.
Sort the data, find the position (n − 1) × p where p is the percentile as a fraction, and read off (or interpolate to) the value at that position. This calculator does it for any percentile you enter.
A percentage is a fraction of a whole; a percentile is a position within a ranked data set. Scoring 90% means you got 90% of the marks; scoring in the 90th percentile means you did as well as or better than about 90% of people.
Yes. Q1 is the 25th percentile, the median is the 50th, and Q3 is the 75th. All three are shown in the summary above.