Percentiles

the position of a datum in a data set.

Type or paste the data:

Percentile k: OR Datum:

Sorted data:

n:

Uses this method:

Q1 is 25%ile, Q2 is median is 50%ile, Q3 is 75%ile. Min is 0%ile, max is 99%ile. 

Chicago commutes
60 15 35 30 15 45 10 15 15 30 12 30 30 45 30 20 20 15 25 45 60 15 28 30 30 60 30 45 30 12 45 20 10 15 45 45 35 60 20 20 20 30 4 80 45 30 60 45 25 30

Presidents' ages (updated)
57 61 57 57 58 57 61 54 68 49 64 48 65 52 46 54 49 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 52 69 64 46 54 47 70 78

Old Faithful
125 203 205 221 225 229 233 233 235 236 236 237 238 238 239 240 240 240 240 241 241 242 242 242 243 243 244 245 245 245 245 246 246 248 248 248 249 249 250 251 252 253 253 255 255 256 257 258 262 264

n=100 uniformly distributed 1-100
1 2 3 4 5 6 6 8 10 11 13 14 14 15 15 15 16 16 16 16 17 18 18 20 22 23 24 24 24 25 28 29 29 30 30 30 31 32 32 32 33 33 40 40 41 41 42 44 52 53 54 54 54 55 55 56 56 56 57 60 60 63 63 64 66 67 68 68 75 75 76 76 77 80 80 81 82 82 82 83 84 84 86 88 89 89 90 90 91 91 91 93 95 95 96 96 97 97 98 100

n=100 normally distributed, u=50, s=5
40 40 42 42 42 42 42 43 43 43 44 44 44 44 44 44 45 45 45 45 46 46 46 46 46 46 47 47 47 47 47 47 47 47 47 48 48 48 48 48 48 48 48 49 49 49 49 49 49 49 49 49 49 50 50 50 50 50 50 50 50 51 51 51 51 51 52 52 52 53 53 53 53 53 53 53 54 54 54 54 54 54 55 55 55 55 55 55 56 56 57 57 57 58 58 60 61 62 62 63

right-skewed  0-99 
0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 11 11 11 12 12 12 14 14 14 14 14 15 15 15 15 16 16 17 17 17 17 18 18 19 20 22 23 26 26 27 28 28 29 30 31 36 36 36 37 39 40 40 41 44 46 47 52 66 69 76 76 78 80 87 96

left-skewed 1-100
1 13 20 22 24 24 31 34 48 53 54 56 59 60 60 61 63 64 64 64 69 70 71 72 72 73 74 74 77 78 80 81 82 82 83 83 83 83 84 84 85 85 85 85 86 86 86 86 86 88 88 88 89 89 89 91 91 91 91 91 92 92 92 92 93 93 93 94 94 94 94 95 95 95 95 96 96 96 97 97 97 97 98 98 98 98 98 99 99 99 99 99 100 100 100 100 100 100 100 100
Comparing data from two data sets.

rank r1 of N1: Pk1 = (N1-r1) / N1
rank r2 of N2: Pk2 = (N2-r2) / N2

Ex. 27th of 540    vs.    51st of 1700:
(540-27)/540 = 95%ile    vs.    (1700-51)/1700 = 97%ile
Same as (1-r/N)*100