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<blockquote data-quote="Cadence" data-source="post: 8465530" data-attributes="member: 6701124">The problem feels like it comes in if you picture the ability scale actually being defined by the 3d6 (instead of the 3d6 just being used to generate things).Looks like the probabilities of each number from 3-10 are around the following.&nbsp; If you took them as the actual values rounded off (so the abilities were continuous, but written on the sheets as integers), then the range of percentiles they'd have unrounded are in the [&nbsp; ], with the corresponding N(100,sd=15) rounded IQ scale quantiles given after that. 3 p=0.46%&nbsp; [0-0.46]&nbsp; &nbsp; 60.9 and lower4 p=1.38%&nbsp; [0.46, 1.38]&nbsp;&nbsp; 60.9 to 675 p=2.77%&nbsp; [1.38,&nbsp; 4.61]&nbsp; 67 to 74.76 p=4.62%&nbsp; [4.61, 9.23]&nbsp;&nbsp; 74.7 to 80.17 p=6.94%&nbsp; [9.23, 16.17]&nbsp; 80.1 to 85.28 p=9.72%&nbsp; [16.17, 25.89]&nbsp;&nbsp; 85.2 to 90.39 p=11.57%&nbsp; [25.89,37.46]&nbsp;&nbsp; 90.3 to 95.210 p=12.5%&nbsp; [37.46,50.00]&nbsp;&nbsp; 95.2 to 100So if the 3-18 scale is defined by the 3d6 probabilities,&nbsp;&nbsp; a 75 IQ is in the low 6 range.&nbsp; An 8 would be an IQ of between 85 and 90. As far as apes brought up in another post, a 6 INT for them seems strange given:(1) the things Intelligence is useful for in 5e&nbsp; (logic, education, memory, deductive reasoning, arcana, history, investigation, nature, religion, and wizard spells), instead of just giving a lower value and a note about memory and natureand(2) that a 6 is only a&nbsp; -2 on those things. Those are some talented apes!If instead of percentiles you use mean and standard deviation, then 3d6 standard deviation of 2.958ish goes with the IQ sd of 15.&nbsp; This makes each point of intelligence worth just a bit over 5 IQ points, with a 10.5 ability being IQ of 100.&nbsp; So the 75 IQ would be just over 5.5 and round to the 6 as above.&nbsp; &nbsp; &nbsp; Extrapolating that to the other end, 18 goes with 138, and Holmes (at IQ of 190) would be a 28...&nbsp;&nbsp; So, anyway&nbsp; 3d6 being defining of how to interpret the scale instead of just a handy tool takes some thought and is problematic in the tails.</blockquote>

[QUOTE="Cadence, post: 8465530, member: 6701124"] The problem feels like it comes in if you picture the ability scale actually being defined by the 3d6 (instead of the 3d6 just being used to generate things). Looks like the probabilities of each number from 3-10 are around the following. If you took them as the actual values rounded off (so the abilities were continuous, but written on the sheets as integers), then the range of percentiles they'd have unrounded are in the [ ], with the corresponding N(100,sd=15) rounded IQ scale quantiles given after that. 3 p=0.46% [0-0.46] 60.9 and lower 4 p=1.38% [0.46, 1.38] 60.9 to 67 5 p=2.77% [1.38, 4.61] 67 to 74.7 6 p=4.62% [4.61, 9.23] 74.7 to 80.1 7 p=6.94% [9.23, 16.17] 80.1 to 85.2 8 p=9.72% [16.17, 25.89] 85.2 to 90.3 9 p=11.57% [25.89,37.46] 90.3 to 95.2 10 p=12.5% [37.46,50.00] 95.2 to 100 So if the 3-18 scale is defined by the 3d6 probabilities, a 75 IQ is in the low 6 range. An 8 would be an IQ of between 85 and 90. As far as apes brought up in another post, a 6 INT for them seems strange given: (1) the things Intelligence is useful for in 5e (logic, education, memory, deductive reasoning, arcana, history, investigation, nature, religion, and wizard spells), instead of just giving a lower value and a note about memory and nature and (2) that a 6 is only a -2 on those things. Those are some talented apes! If instead of percentiles you use mean and standard deviation, then 3d6 standard deviation of 2.958ish goes with the IQ sd of 15. This makes each point of intelligence worth just a bit over 5 IQ points, with a 10.5 ability being IQ of 100. So the 75 IQ would be just over 5.5 and round to the 6 as above. Extrapolating that to the other end, 18 goes with 138, and Holmes (at IQ of 190) would be a 28... So, anyway 3d6 being defining of how to interpret the scale instead of just a handy tool takes some thought and is problematic in the tails. [/QUOTE]

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