# Dice

Summary of mean and variability of normal attribute rolls and pain
pool rolls.  Attribute rolls in a state of disadvantage are not 
included. 

Note that the curve is not normal, so only limited information
can be derived from the standard deviation.


| D12s | D10s | D8s | mean | std dev | first quartile | median| last quartile | pain |
| :-: | :-: | :-: | :-: | :-: | :-: | :-: | :-: | :-: |
| 0 | 3 | 0 | 16.463 | 4.903 | 13 | 16 | 20 | pain |
| 1 | 1 | 1 | 16.474 | 5.067 | 13 | 16 | 20 |  |
| 1 | 1 | 2 | 17.8382 | 4.859 | 14 | 18 | 21 |  |
| 1 | 2 | 1 | 18.1966 | 4.744 | 15 | 18 | 22 |  |
| 1 | 1 | 3 | 18.3444 | 4.803 | 15 | 18 | 22 |  |
| 2 | 1 | 1 | 18.4788 | 4.675 | 15 | 19 | 22 |  |
| 1 | 1 | 4 | 18.9276 | 4.659 | 16 | 19 | 22 |  |
| 1 | 3 | 1 | 19.0076 | 4.531 | 16 | 19 | 22 |  |
| 0 | 4 | 0 | 19.47 | 4.772 | 16 | 20 | 23 | pain |
| 3 | 1 | 1 | 19.5016 | 4.333 | 17 | 20 | 23 |  |
| 1 | 2 | 2 | 19.5068 | 4.541 | 16 | 20 | 23 |  |
| 1 | 4 | 1 | 19.5302 | 4.532 | 16 | 20 | 23 |  |
| 2 | 1 | 2 | 19.798 | 4.461 | 17 | 20 | 23 |  |
| 4 | 1 | 1 | 20.0842 | 4.174 | 17 | 20 | 23 |  |
| 1 | 2 | 3 | 20.15 | 4.460 | 17 | 20 | 23 |  |
| 2 | 2 | 1 | 20.204 | 4.264 | 17 | 20 | 23 |  |
| 1 | 3 | 2 | 20.327 | 4.363 | 17 | 20 | 24 |  |
| 2 | 1 | 3 | 20.5104 | 4.295 | 18 | 21 | 24 |  |
| 1 | 2 | 4 | 20.5198 | 4.343 | 17 | 21 | 24 |  |
| 1 | 4 | 2 | 20.715 | 4.185 | 18 | 21 | 24 |  |
| 2 | 1 | 4 | 20.8106 | 4.348 | 18 | 21 | 24 |  |
| 2 | 3 | 1 | 20.896 | 4.135 | 18 | 21 | 24 |  |
| 3 | 1 | 2 | 20.9132 | 4.120 | 18 | 21 | 24 |  |
| 1 | 3 | 3 | 20.9348 | 4.268 | 18 | 21 | 24 |  |
| 3 | 2 | 1 | 21.1834 | 4.009 | 18 | 21 | 24 |  |
| 1 | 3 | 4 | 21.2922 | 4.163 | 18 | 21 | 24 |  |
| 4 | 1 | 2 | 21.3554 | 3.960 | 19 | 21 | 24 |  |
| 0 | 5 | 0 | 21.3688 | 4.398 | 18 | 22 | 25 | pain |
| 2 | 4 | 1 | 21.4028 | 3.971 | 19 | 22 | 24 |  |
| 3 | 1 | 3 | 21.443 | 4.022 | 19 | 22 | 24 |  |
| 1 | 4 | 3 | 21.4506 | 4.102 | 18 | 21 | 25 |  |
| 2 | 2 | 2 | 21.4532 | 4.150 | 19 | 22 | 24 |  |
| 4 | 2 | 1 | 21.785 | 3.842 | 19 | 22 | 25 |  |
| 3 | 1 | 4 | 21.837 | 3.922 | 19 | 22 | 25 |  |
| 1 | 4 | 4 | 21.8724 | 4.033 | 19 | 22 | 25 |  |
| 3 | 3 | 1 | 21.922 | 3.772 | 19 | 22 | 25 |  |
| 4 | 1 | 3 | 21.969 | 3.824 | 19 | 22 | 25 |  |
| 2 | 2 | 3 | 22.1888 | 3.994 | 20 | 23 | 25 |  |
| 2 | 3 | 2 | 22.238 | 3.883 | 20 | 22 | 25 |  |
| 3 | 2 | 2 | 22.3064 | 3.874 | 20 | 23 | 25 |  |
| 3 | 4 | 1 | 22.4088 | 3.650 | 20 | 23 | 25 |  |
| 4 | 1 | 4 | 22.4634 | 3.687 | 20 | 22 | 25 |  |
| 2 | 2 | 4 | 22.5246 | 3.838 | 20 | 23 | 25 |  |
| 4 | 3 | 1 | 22.5366 | 3.616 | 20 | 23 | 25 |  |
| 2 | 4 | 2 | 22.7132 | 3.767 | 20 | 23 | 25 |  |
| 0 | 6 | 0 | 22.916 | 3.860 | 20 | 23 | 26 | pain |
| 2 | 3 | 3 | 22.933 | 3.746 | 20 | 23 | 26 |  |
| 4 | 4 | 1 | 22.9722 | 3.424 | 21 | 23 | 26 |  |
| 4 | 2 | 2 | 23.0006 | 3.580 | 21 | 23 | 26 |  |
| 3 | 2 | 3 | 23.171 | 3.628 | 21 | 23 | 26 |  |
| 3 | 3 | 2 | 23.227 | 3.542 | 21 | 23 | 26 |  |
| 2 | 3 | 4 | 23.2604 | 3.651 | 21 | 24 | 26 |  |
| 2 | 4 | 3 | 23.4328 | 3.625 | 21 | 24 | 26 |  |
| 3 | 2 | 4 | 23.4764 | 3.555 | 21 | 24 | 26 |  |
| 4 | 2 | 3 | 23.6604 | 3.437 | 21 | 24 | 26 |  |
| 2 | 4 | 4 | 23.7684 | 3.564 | 21 | 24 | 27 |  |
| 4 | 3 | 2 | 23.8232 | 3.279 | 22 | 24 | 26 |  |
| 3 | 4 | 2 | 23.8476 | 3.420 | 22 | 24 | 26 |  |
| 3 | 3 | 3 | 23.9044 | 3.419 | 22 | 24 | 26 |  |
| 0 | 7 | 0 | 23.98 | 3.602 | 22 | 24 | 27 | pain |
| 4 | 2 | 4 | 24.1222 | 3.298 | 22 | 24 | 27 |  |
| 3 | 3 | 4 | 24.3414 | 3.244 | 22 | 25 | 27 |  |
| 4 | 4 | 2 | 24.3466 | 3.153 | 22 | 25 | 27 |  |
| 3 | 4 | 3 | 24.4578 | 3.177 | 22 | 25 | 27 |  |
| 4 | 3 | 3 | 24.4662 | 3.062 | 23 | 25 | 27 |  |
| 3 | 4 | 4 | 24.8116 | 3.104 | 23 | 25 | 27 |  |
| 0 | 8 | 0 | 24.8188 | 3.272 | 23 | 25 | 27 | pain |
| 4 | 3 | 4 | 24.8294 | 3.111 | 23 | 25 | 27 |  |
| 4 | 4 | 3 | 25.0824 | 2.947 | 23 | 25 | 27 |  |
| 4 | 4 | 4 | 25.362 | 2.878 | 24 | 26 | 28 |  |
| 0 | 9 | 0 | 25.4024 | 3.044 | 24 | 26 | 28 | pain |
| 0 | 10 | 0 | 25.9852 | 2.765 | 24 | 26 | 28 | pain |
| 0 | 11 | 0 | 26.3968 | 2.621 | 25 | 27 | 28 | pain |
| 0 | 12 | 0 | 26.821 | 2.429 | 25 | 27 | 29 | pain |