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Can someone who understands Statistics help me?
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<blockquote data-quote="KarinsDad" data-source="post: 2686442" data-attributes="member: 2011"><p>You are correct on the average (I think it is 13.5 or so, I do not quite remember exactly), but the average point buy is probably close to 40.</p><p></p><p>If you rolled 3 13's and 3 14's, you would have a point buy of 33.</p><p></p><p>The fact that every 15 to 18 you roll ups that by 2 to 10 whereas every 8 to 13 or lower only lowers it by 6 to 1 means that you usually will have a higher average than 33.</p><p></p><p>I used this system for my current campaign and the equivalent point buys ended up being:</p><p></p><p>70 (he rolled out his butt with 17, 17, 17, 18, 16, 13 and we all watched him do it)</p><p>51</p><p>40</p><p>42</p><p>43</p><p>44</p><p></p><p>Note: I also had two house rules that upped this slightly.</p><p></p><p>1) If you did not get at least one 16 stat, you could re-roll all of the stats from scratch. One player did a 25 point buy with a 15 as highest, so lower rolls do occur. This happened one time out of six here.</p><p></p><p>2) I allowed a single re-roll if you rolled real bad on one of your rolls, but you had to take the new roll, even if it was lower. This probably ups the average point buy by about 5 because you throw away a 9 (or sometimes 8 or 10) and get a 14 (on average).</p><p></p><p>Given this and dropping out the two extremes of 25 and 70 in our group, results in our group would have averaged about 39 (51 + 40 + 42 + 43 + 44 = 220 / 5 = 44 - 5 = 39) if we did not have the second house rule.</p></blockquote><p></p>
[QUOTE="KarinsDad, post: 2686442, member: 2011"] You are correct on the average (I think it is 13.5 or so, I do not quite remember exactly), but the average point buy is probably close to 40. If you rolled 3 13's and 3 14's, you would have a point buy of 33. The fact that every 15 to 18 you roll ups that by 2 to 10 whereas every 8 to 13 or lower only lowers it by 6 to 1 means that you usually will have a higher average than 33. I used this system for my current campaign and the equivalent point buys ended up being: 70 (he rolled out his butt with 17, 17, 17, 18, 16, 13 and we all watched him do it) 51 40 42 43 44 Note: I also had two house rules that upped this slightly. 1) If you did not get at least one 16 stat, you could re-roll all of the stats from scratch. One player did a 25 point buy with a 15 as highest, so lower rolls do occur. This happened one time out of six here. 2) I allowed a single re-roll if you rolled real bad on one of your rolls, but you had to take the new roll, even if it was lower. This probably ups the average point buy by about 5 because you throw away a 9 (or sometimes 8 or 10) and get a 14 (on average). Given this and dropping out the two extremes of 25 and 70 in our group, results in our group would have averaged about 39 (51 + 40 + 42 + 43 + 44 = 220 / 5 = 44 - 5 = 39) if we did not have the second house rule. [/QUOTE]
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