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Message: <blockquote data-quote="dvvega" data-source="post: 1564254" data-attributes="member: 524">StephenH,now I understand what you did. Interesting method.The only problem that I can see with your method is that you are not working from a 100% even distribution.You should average each discrete variable (in this case each ability score) before calculating the points to build - not average the points total. This is because the points total is dependent on the abilities whereas the abilities are each discretely generated from 4d6 discard the lowest.Taking your 1,000,000 characters, you should average each seperate ability and then calculate the point score total to achieve that average.Your current method is skewing the results because you do not have a uniform distribution. Since the only way we can obtain a uniform distribution is to generate an infinite number of characters, we must use mathematics to calculate our averages. Doing this produces an average of 25 points for 4d6 discard the lowest AFAIK.Of course I could be wrong and if anyone can show me the error of my statiscal calculations I'll be most glad to listen.</blockquote>