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<blockquote data-quote="Blue" data-source="post: 7156961" data-attributes="member: 20564"><p>Just because it's the type of geek I am, I mapped the 3d6 bell curve probabilities to IQ distribution in the population.</p><p></p><p>I've seen the same distribution several places, so I'll assume this is legit:</p><p>[ATTACH]85737[/ATTACH]</p><p></p><p>That first standard distribution of 85 to 115 is 68% of the results. That maps out quite nicely to the 8 to 13 on 3d6 (67.78%). One standard distribution isn't particularly wide, so these people all pass as normal, though some are a big slower or faster.</p><p></p><p>The second standard distribution is where you have more noticeable differences. These are the people you'd notice as dumb or smart. It's 14% on either side, say 5-7 and 14-16 which are each 14.35%.</p><p></p><p>"Gifted" starts around 130, which equates to starting around a 16. On the other side (and I'm saying this clinically) mild retardation is 50 to 70, so a 5 is the most functional part of "mild retardation" - still able to function in society. So playing an 8 like you are dim and a 6 as extremely stupid isn't really supported.</p><p></p><p>The next 2% on either side get you down to 55 or up to 145. 3-4 and 17-18 are 1.85% which is as close as we're going to get. The bottom end of the scale - INT 3 - is still in the population distribution for the lower end of "mildly retarted", but still well above moderate, severe or profound. In other words, INT 3 should be able to function in society with some help. Yeah, I always think of INT 3 as drooling idiots, but in the population, 1 in 216 on the low side is only mildly impaired.</p><p></p><p>The top end is not quite to genius, at 150. 3d6 isn't granular enough to actually show genius, it's less frequent then 1 in 216. But we can safely assume INT 19-20 will get there. However for those we're into bonuses and outside 3d6 distribution so it's outside this analysis.</p><p></p><p>So for those looking for a "easy IQ conversion", IQ of 50 + 5*INT gives a rough fit that's about as good as you can get with that simple of a formula. (Okay, 47.5 * 5*INT, but really, evenly divisible by 5 is nicer.)</p><p></p><p>In play: </p><p>3-4 mildly impaired (-4)</p><p>5-7 slow (-3 to -2)</p><p>8-13 - average joe (-1 to +1)</p><p>14-16 bright (+2 to +3)</p><p>17-18 gifted (+4)</p><p>19-20 genius (+5)</p></blockquote><p></p>
[QUOTE="Blue, post: 7156961, member: 20564"] Just because it's the type of geek I am, I mapped the 3d6 bell curve probabilities to IQ distribution in the population. I've seen the same distribution several places, so I'll assume this is legit: [ATTACH=CONFIG]85737._xfImport[/ATTACH] That first standard distribution of 85 to 115 is 68% of the results. That maps out quite nicely to the 8 to 13 on 3d6 (67.78%). One standard distribution isn't particularly wide, so these people all pass as normal, though some are a big slower or faster. The second standard distribution is where you have more noticeable differences. These are the people you'd notice as dumb or smart. It's 14% on either side, say 5-7 and 14-16 which are each 14.35%. "Gifted" starts around 130, which equates to starting around a 16. On the other side (and I'm saying this clinically) mild retardation is 50 to 70, so a 5 is the most functional part of "mild retardation" - still able to function in society. So playing an 8 like you are dim and a 6 as extremely stupid isn't really supported. The next 2% on either side get you down to 55 or up to 145. 3-4 and 17-18 are 1.85% which is as close as we're going to get. The bottom end of the scale - INT 3 - is still in the population distribution for the lower end of "mildly retarted", but still well above moderate, severe or profound. In other words, INT 3 should be able to function in society with some help. Yeah, I always think of INT 3 as drooling idiots, but in the population, 1 in 216 on the low side is only mildly impaired. The top end is not quite to genius, at 150. 3d6 isn't granular enough to actually show genius, it's less frequent then 1 in 216. But we can safely assume INT 19-20 will get there. However for those we're into bonuses and outside 3d6 distribution so it's outside this analysis. So for those looking for a "easy IQ conversion", IQ of 50 + 5*INT gives a rough fit that's about as good as you can get with that simple of a formula. (Okay, 47.5 * 5*INT, but really, evenly divisible by 5 is nicer.) In play: 3-4 mildly impaired (-4) 5-7 slow (-3 to -2) 8-13 - average joe (-1 to +1) 14-16 bright (+2 to +3) 17-18 gifted (+4) 19-20 genius (+5) [/QUOTE]
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