Ximpledu

Percentile

See how to find the percentile rank of a value.
2 examples and their solutions.

Percentile

Formula

(percentile) = nless + 0.5⋅nequaln⋅100(th)
Percentile rank: 1st (min) ~ 100th (max)
nless: Number of values less than 'want'
nequal: Number of 'want' values
n: Total number of values

Example

For the given data below,
find the percentile rank of 4.
(n = 20)

1, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9
Solution

Example

For the given data below,
find the percentile rank of 7.
(n = 20)

1, 2, 2, 3, 3, 3, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9
Solution