# Percentile

See how to find the percentile rank of a value.

2 examples and their solutions.

## Percentile

### Formula

(percentile) = n

Percentile rank: 1st (min) ~ 100th (max) _{less}+ 0.5⋅n_{equal}n⋅100(th)n

_{less}: Number of values less than 'want'

n

_{equal}: 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 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

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

(percentile) = 6 + 0.5⋅120⋅100

= 6.5⋅5

= 32.5

→ 33rd - [1]

(percentile) = 6 + 0.5⋅120⋅100

= 6.5⋅5

= 32.5

→ 33rd - [1]

[1]

Round 32.5 to the ones.

Close

### 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 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

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

(percentile) = 12 + 0.5⋅420⋅100

= (12 + 2)⋅5

= 14⋅5

= 70

→ 70th

(percentile) = 12 + 0.5⋅420⋅100

= (12 + 2)⋅5

= 14⋅5

= 70

→ 70th

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