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<blockquote data-quote="Creamsteak" data-source="post: 1586665" data-attributes="member: 552">But the average for a single stat is not the average for all possible ability score arrays, because point buy follows a non-linear method.I used a computer program to test the actual value, and it comes out to being 28.5555555553 if I recall correctly. Basically, the average for 4d6-L is 28 or 29, but with qualifiers it gets boosted up a bit.Edit: Here's my data:30.4633219726944 is the average points value of the 87.32667196261% of the dice that contain at least one 14 or greater and the total ability modifier is greater than 0.28.5277777778402 is the average points value of the 99.99999998912% of the dice.The reason why my program has that error (99.99999998912% of 100%) is because it has accumulated that much rounding of numbers in error. Everything past the 10th decimal place is rounded off, and it quickly accumulates when you do 15^6 comparisons. Also, to clarify, The number 87.32667196261% is not a 13% error. It's still the same % error as the other number, but only about 87% of possible ability score rolls come out to being valid using the PHB method.This number is what 1 roll out of the 6^24 total rolls comprises. So being off by that % above is actually omitting a significant number of low-chance rolls such as 3 3 3 3 3 3 because that occurs less than 0.0000000001% of the time.0.000000000000000021104253300858436641297643797198</blockquote>

[QUOTE="Creamsteak, post: 1586665, member: 552"] But the average for a single stat is not the average for all possible ability score arrays, because point buy follows a non-linear method. I used a computer program to test the actual value, and it comes out to being 28.5555555553 if I recall correctly. Basically, the average for 4d6-L is 28 or 29, but with qualifiers it gets boosted up a bit. [b]Edit:[/b] Here's my data: 30.4633219726944 is the average points value of the 87.32667196261% of the dice that contain at least one 14 or greater and the total ability modifier is greater than 0. 28.5277777778402 is the average points value of the 99.99999998912% of the dice. The reason why my program has that error (99.99999998912% of 100%) is because it has accumulated that much rounding of numbers in error. Everything past the 10th decimal place is rounded off, and it quickly accumulates when you do 15^6 comparisons. Also, to clarify, The number 87.32667196261% is not a 13% error. It's still the same % error as the other number, but only about 87% of possible ability score rolls come out to being valid using the PHB method. This number is what 1 roll out of the 6^24 total rolls comprises. So being off by that % above is actually omitting a significant number of low-chance rolls such as 3 3 3 3 3 3 because that occurs less than 0.0000000001% of the time. 0.000000000000000021104253300858436641297643797198 [/QUOTE]

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