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Dice Rolling for beginning ability scores...redux
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<blockquote data-quote="ichabod" data-source="post: 9060458" data-attributes="member: 1257"><p>Okay, I couldn't wait until morning. If my late at night calculations in Excel are correct, then the variance of the ability bonus for one roll is 2.093555 (with an average of 0.873457). For six rolls, since the rolls are independent, we can just sum the variances, and the variance for the total bonus should be 12.56133, and the standard deviation would be 3.544196. So if you have +2 to +9 for your total bonus you are basically within one standard deviation of the norm.</p><p></p><p>But that's based on probability, which is not really the same as feat equivalency. So it would need to be more like what aco175 is saying. You could base it off the mean of +5 total bonus, but I would base it off who rolled best. But I would actually avoid something like this. I find first level feats to be awfully powerful.</p></blockquote><p></p>
[QUOTE="ichabod, post: 9060458, member: 1257"] Okay, I couldn't wait until morning. If my late at night calculations in Excel are correct, then the variance of the ability bonus for one roll is 2.093555 (with an average of 0.873457). For six rolls, since the rolls are independent, we can just sum the variances, and the variance for the total bonus should be 12.56133, and the standard deviation would be 3.544196. So if you have +2 to +9 for your total bonus you are basically within one standard deviation of the norm. But that's based on probability, which is not really the same as feat equivalency. So it would need to be more like what aco175 is saying. You could base it off the mean of +5 total bonus, but I would base it off who rolled best. But I would actually avoid something like this. I find first level feats to be awfully powerful. [/QUOTE]
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