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General Tabletop Discussion
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Fairness Point-Buy and rolls other than stats
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<blockquote data-quote="ichabod" data-source="post: 899885" data-attributes="member: 1257"><p>My statement is based on the third quartiles of the ordinal probabilities: 17, 15, 14, 13, 12, 10 (without reroll, I haven't calculated it with rerolls). 38 point buy.</p><p></p><p></p><p></p><p>Seeing as I was saying that using the average isn't a good idea, I think I understood that. It just doesn't seem to me like a good idea when it's incredibly easy to get better than that with 4d6 drop.</p><p></p><p></p><p></p><p></p><p>I was talking about the median, which with rerolls has a 29 point buy cost. In a case like this it seems natural, given as the average could never be an actual value.</p><p></p><p></p><p></p><p>Hmm. And that refutes my statement about what I've heard in what way?</p><p></p><p>And I know the average is a statistic. It's just that I think of it as running the probabilities to get the statistic. You have to either do that or run the frequencies.</p><p></p><p>BTW, the probability of rolling exactly the average is 0.</p><p></p><p>And I'll say it again: you definately shouldn't represent the average or median set of 4d6 drop abilities with 13, 12, 12, 12, 12, 12. That doesn't take into account that when you roll up six values they will be spread around the average, not all sitting as close to as they can. Since the point buy system is not 1:1, you should take into account that variation.</p></blockquote><p></p>
[QUOTE="ichabod, post: 899885, member: 1257"] My statement is based on the third quartiles of the ordinal probabilities: 17, 15, 14, 13, 12, 10 (without reroll, I haven't calculated it with rerolls). 38 point buy. Seeing as I was saying that using the average isn't a good idea, I think I understood that. It just doesn't seem to me like a good idea when it's incredibly easy to get better than that with 4d6 drop. I was talking about the median, which with rerolls has a 29 point buy cost. In a case like this it seems natural, given as the average could never be an actual value. Hmm. And that refutes my statement about what I've heard in what way? And I know the average is a statistic. It's just that I think of it as running the probabilities to get the statistic. You have to either do that or run the frequencies. BTW, the probability of rolling exactly the average is 0. And I'll say it again: you definately shouldn't represent the average or median set of 4d6 drop abilities with 13, 12, 12, 12, 12, 12. That doesn't take into account that when you roll up six values they will be spread around the average, not all sitting as close to as they can. Since the point buy system is not 1:1, you should take into account that variation. [/QUOTE]
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