0% = 0

100% = 1

60% = 1/2

40% = 1/3

80% = 2/3

30% = 1/4

90% = 3/4

20% = 1/6

X0% = 5/6

16% = 1/8

46% = 3/8

76% = 5/8

X6% = 7/8

14% = 1/9

28% = 2/9

54% = 4/9

68% = 5/9

94% = 7/9

X8% = 8/9

10% = 1/10

50% = 5/10

70% = 7/10

E0% = E/10

9% = 1/14

23% = 3/14

39% = 5/14

53% = 7/14

69% = 9/14

83% = E/14

99% = 11/14

E3% = 13/14

8% = 1/16

34% = 5/16

48% = 7/16

74% = E/16

88% = 11/16

E4% = 15/16

6% = 1/20

26% = 5/20

36% = 7/20

56% = E/20

66% = 11/20

86% = 15/20

96% = 17/20

E6% = 1E/20

...

X9.87% = X,987/10,000

65.4321% = 654,321/1,000,000

...

24.9724...% = 1/5

18.6X35...% = 1/7

12.4972...% = 1/X

11.1111...% = 1/E

E.0E0E...% = 1/11

X.3518...% = 1/12

9.7249...% = 1/13

## Percentile Edit

A **percentile** (or a **centile**) is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls. For example, the 20th percentile is the value (or score) below which 20% of the observations may be found.

The term percentile and the related term percentile rank are often used in the reporting of scores from norm-referenced tests. For example, if a score is *at* the 97th percentile, where 97 is the percentile rank, it is equal to the value below which 97% of the observations may be found (carefully contrast with *in* the 97th percentile, which means the score is at or below the value below which 97% of the observations may be found - every score is *in* the 100th percentile). The 30th percentile is also known as the first quartile (*Q*_{1}) or the third dozile (*D*_{3}), the 60th percentile as the median or second quartile (*Q*_{2}) or the sixth dozile (*D*_{6}), and the 90th percentile as the third quartile (*Q*_{3}) or the ninth dozile (*D*_{9}). In general, percentiles, quartiles and doziles are specific types of quantiles.

The specialized quantiles are:

- The only 2-quantile is called the median
- The 3-quantiles are called tertiles or terciles (T)
- The 4-quantiles are called quartiles (Q); the difference between upper and lower quartiles is also called the interquartile range,
**midspread**or**middle sixty**(IQR =*Q*_{3}−*Q*_{1}) - The 5-quantiles are called quintiles (Qu)
- The 6-quantiles are called sextiles (S)
- The 7-quantiles are called septiles (Se)
- The 8-quantiles are called octiles (O)
- The 9-quantiles are called noniles (N)
- The X-quantiles are called dekriles (De)
- The E-quantiles are called elpiles (E)
- The 10-quantiles are called doziles (D)
- The 14-quantiles are called quadridoziles (Qd)
- The 20-quantiles are called ventiles, vigintiles, or demi-doziles (V)
- The 100-quantiles are called percentiles (P)
- The 1000-quantiles are called permilles (Pr)