Z-score Table
Percentiles of the Standard Normal Distribution
| Percentile | Z-score | Percentile | Z-score |
|---|---|---|---|
| 1 | -2.326 | 50 | 0 |
| 2 | -2.054 | 51 | 0.025 |
| 3 | -1.881 | 52 | 0.05 |
| 4 | -1.751 | 53 | 0.075 |
| 5 | -1.645 | 54 | 0.1 |
| 6 | -1.555 | 55 | 0.126 |
| 7 | -1.476 | 56 | 0.151 |
| 8 | -1.405 | 57 | 0.176 |
| 9 | -1.341 | 58 | 0.202 |
| 10 | -1.282 | 59 | 0.228 |
| 11 | -1.227 | 60 | 0.253 |
| 12 | -1.175 | 61 | 0.279 |
| 13 | -1.126 | 62 | 0.305 |
| 14 | -1.08 | 63 | 0.332 |
| 15 | -1.036 | 64 | 0.358 |
| 16 | -0.994 | 65 | 0.385 |
| 17 | -0.954 | 66 | 0.412 |
| 18 | -0.915 | 67 | 0.44 |
| 19 | -0.878 | 68 | 0.468 |
| 20 | -0.842 | 69 | 0.496 |
| 21 | -0.806 | 70 | 0.524 |
| 22 | -0.772 | 71 | 0.553 |
| 23 | -0.739 | 72 | 0.583 |
| 24 | -0.706 | 73 | 0.613 |
| 25 | -0.674 | 74 | 0.643 |
| 26 | -0.643 | 75 | 0.674 |
| 27 | -0.613 | 76 | 0.706 |
| 28 | -0.583 | 77 | 0.739 |
| 29 | -0.553 | 78 | 0.772 |
| 30 | -0.524 | 79 | 0.806 |
| 31 | -0.496 | 80 | 0.842 |
| 32 | -0.468 | 81 | 0.878 |
| 33 | -0.44 | 82 | 0.915 |
| 34 | -0.412 | 83 | 0.954 |
| 35 | -0.385 | 84 | 0.994 |
| 36 | -0.358 | 85 | 1.036 |
| 37 | -0.332 | 86 | 1.08 |
| 38 | -0.305 | 87 | 1.126 |
| 39 | -0.279 | 88 | 1.175 |
| 40 | -0.253 | 89 | 1.227 |
| 41 | -0.228 | 90 | 1.282 |
| 42 | -0.202 | 91 | 1.341 |
| 43 | -0.176 | 92 | 1.405 |
| 44 | -0.151 | 93 | 1.476 |
| 45 | -0.126 | 94 | 1.555 |
| 46 | -0.1 | 95 | 1.645 |
| 47 | -0.075 | 96 | 1.751 |
| 48 | -0.05 | 97 | 1.881 |
| 49 | -0.025 | 98 | 2.054 |
| 50 | 0 | 99 | 2.326 |
The Standard Normal Distribution
Calculate percentiles
P = Mean + Z-score x Standard deviation
or
P = Mean x [1 + (Coefficient of variation x Z-score)]
In the Standard Normal Distribution, the mean and median are the same, so in the formula to calculate percentiles you can also use the median or percentile 50 instead of the mean.