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Message: <blockquote data-quote="dvvega" data-source="post: 1563002" data-attributes="member: 524">StephenH ... I totally forgot about the reroll your stats if the modifiers sum to 0 or less, or if no ability is above 13.So I went and added the proviso that the modifiers must sum to 1 or more and that at least one ability must be > 13.The stat average across 12000 characters (6 abilities each) was 12.5 and the modifier average over 12000 characters was 6.05.I'm not sure where you are getting your distribution values from on 4d6, I simply generated 12000 characters. Now according to the central limit theorem the 4 dice throw away the lowest will create a normal distribution with the highest concentration around the 12.25 mark. Take this as 12 or 13 it doesn't matter much for the sake of discussion. As and aside, 3d6 heads towards the 10.5 area.Just to make sure nothing was going weird, I also generated 50000 characters. The averages came out at 12.5 for abilities and 6.05 for modifiers.Thus, I am confused as to how you can state that 4d6 results in 29 points. I am using the standard 4d6 method given in the PHB, not discarding any particular rolls, and tossing the whole set of 6 abilitiers if the conditions are not met.</blockquote>