P

Percentile Calculator

The value below which a given percentage of your data falls, and where any value ranks.

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How it's calculated

h = (n − 1) × p
P = x₍⌊h⌋₎ + (h − ⌊h⌋) × (x₍⌊h⌋+1₎ − x₍⌊h⌋₎)   (sorted data, counting from 0)

The pth percentile is the value with p% of the data at or below it. Quartiles and percentiles use linear interpolation between the closest ranks by default (R type 7, Excel PERCENTILE.INC / QUARTILE.INC); the median-of-halves method taught in many courses and used by TI-83/84 calculators can give slightly different values for small data sets, so it is offered as an option for quartiles.

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