# Rank, Percentile Rank

How to find the rank and the percentile rank from the given data: formula, examples, and their solutions.

## Example 1

(Rank) = (number of smaller values) + 0.5⋅(number of the same values)

(number of smaller values) = 13

(number of the same values) = 2

(Rank) = 13 + 0.5⋅2 = 14

(Percentile Rank) = (Rank)/(number of the data) × 100

(Rank) = 14

(number of the data) = 20

(Percentile Rank) = 14/20 × 100 = 70 th

## Example 2

(Rank) = (number of smaller values) + 0.5⋅(number of the same values)

(number of smaller values) = 6

(number of the same values) = 3

(Rank) = 6 + 0.5⋅3 = 7.5

(Percentile Rank) = (Rank)/(number of the data) × 100

(Rank) = 7.5

(number of the data) = 20

(Percentile Rank) = 7.5/20 × 100 = 37.5.

The percentile rank has to be rounded

to the nearest ones.

So 37.5 → 38th.