Hey guys, I am trying to figure out the best way to roll for IQ (intelligence quotient) on a character. IQ has a mean of 100 and a standard deviation of 15 (so, a variance of 225) and I'm trying to find the most efficient way to roll standard dice (d2, d4, d6, d8, d10, d12, d20) to get this probability distribution.
First I looked at the factors of 100 (1, 2, 4, 5, 10, 20, 25, 50, 100) and used that many number of rolls to find the variance where they all had a mean of 100. The two closest were 10d19 (var 300) and 20d9 (var 133.3~). Using normal dice, 9d20 (mean 94.5 var 299.25) was as close as I could get.
So, I'd need to roll multiple kinds of dice. So far, the closes I have gotten is 5d20 + 6d10 + 2d6 + 3d4, which gives a mean of 100 and a variance of 225.3~ standard deviation of about 15.011. Obscenely close... but not perfect.
Has anyone gotten closer, or even figured out ab exact combination of rolls to get this? (And, am I on the right board?)
Have you considered EQ/Emotional Intelligence as well, or are you just doing straight up IQ?
Levi Scott
straight irl IQ
David Reed
Just use FATAL. It doesn't have direct IQ, but stats are on range where 100 is average, so you could just take the different sub-intelligence and use their average as IQ.
Jonathan Martinez
4d100 / 2 - 1 eh? The variance is too high; 9d20 +5 would be better and simpler than that
Cooper White
>4d100 / 2 - 1
Its (10d100/5)-1 , your roll was just a old mistake at 1d4 that someone started to use at other places
Ayden Gomez
>at 1d4 1d4chan the wiki
Gabriel Rivera
Ah, I had looked up the FATAL book and that's what it had.
1d100 If you're not man enough to play a blithering retard you don't deserve to know IQ
Angel Hall
>Ah, I had looked up the FATAL book and that's what it had. I have some version released at 9/18/2004 (latest version I could find, the book is not complete, its just part of the book, since he released partial versions of the book after some amount of time) and the roll is (10d100/5)-1
Elijah Moore
PS: I also have the version from 04/05/2004 this one is the entire book, and also has (10d100/5)-1
Aiden Nguyen
Why not just 3d100, take middle? Standard deviation is around 22, but it's probably still fine for practical application
Alexander White
>on a character. IQ has a mean of 100 and a standard deviation of 15 (so, a variance of 225)
The average is not 100, 100 is the average.
WUT?
WTF???
They set 100 to be the average IQ, if everyone excluding mentally retarded people and people that do iq tests and stuff survive, the average will still be 100, the average iq will be corrected to be 100.
Isaac Foster
>take middle Because 100 is the average, not 50
Owen Evans
>? Messed up, the mean is actually 50. Ignore this post.
Though, on a related note, what would be the standard deviation of rolling 3d10 twice, take the middle each time, and using one set for the tens place and one for the ones place?
Henry Collins
3d6 times 10.
Joshua James
Have you considered just making a d100 table that maps to the bellcurve?
Also the standard deviation is only 15 for men, it's about half that for women
Jacob Thompson
>trying to find the most effecient way >rolls non weighted dice you need to roll something that fits the bell curve.
Michael Johnson
EQ is non-empirical and therefor not scientific
Wyatt Stewart
Mapping to the bellcurve is what I am trying to do with these rolls, user.
Jayden Jenkins
And yet it has strong correlations to life success and a stronger inverse correlation to likelihood of being jailed.
IQ isnt even used as it was intended, the inventor made it to help identify struggling and advanced children, not to be broadly expanded beyond its mandate to be "the intelligence score"
Jackson Thompson
No, I mean a manual map. Like a 1 is iq 65, a 2 is iq 67, 50 is iq 100, 100 is iq 135 and such
Jackson Adams
>man invents thing for niche purpose >others discover it has much broader use Yeah, that's never happened before
James Perez
Ah, I see. I could do that but, I'll keep on this with this idea...
Lucas Smith
You lose the extreme ends with that.
Nathaniel Harris
X=36d6
E(X)=36*3.5=126 Var(X)=105
Y=A+B*X E(Y)=A+B*126=100 Var(Y)=B^2*105=225
Solve for A and B
Christopher Cook
It's a bitch because 225's common factors (1, 3, 5, 9, 15, 25, 45, 75, 225) don't really overlap with 100's.
Juan Sullivan
B=1.463850...
A=-84.44511...
Jose Cruz
3d6 x10 ya git. Will average slightly more than average and stray from extremes - perfect for adventurers.
Mason Roberts
Or just do it in Excel and stop being an autistic dice retard
Brayden Gutierrez
Do you really want to roll an IQ of -125 or of 225? You'd want a range more in the 50-150 range, so just roll 2d10% and add 50.
Gavin Moore
Just use the same dice roll they use in real life
Hunter Rogers
You misunderstand, I am just talking about statistical variance. The distribution I described in the OP is the one that they use for IQ.
Confer pic related: The center (mean) is 100. The standard deviation (distance between the bars) is 15. The variance is just the SD squared: 15^2=225
Logan Brown
3d6 times 10 actually works very, very well for the numbers you want. The mean comes to 105, but also the standard deviation ends up being 17.2, which is extremely close to the value you want
Nathaniel Foster
>3d6 times 10 actually works very, very well for the numbers you want. The mean comes to 105, but also the standard deviation ends up being 17.2, which is extremely close to the value you want
((14d100 )/7)-1 is better
Mason Ward
But that would require rolling 28 dice and dividing (probably requiring a calculator), versus just 3 with simple addition
Oliver Lee
It would be, but OP is clearly not looking for reasonable solutions, he's searching for maximum autism.
He may have found it.
Hunter Baker
Wait, so then you want a multi-dice roll (because that produces a bellcurve naturally) but you really want a variance from 70 - 130, or a 60 point range.
So basically 10d6 + 65.
Jackson Davis
unironically 3d6, with 10.5 normalized to 100 and each point of INT worth 5. the curve matches almost exactly.
if you really want to model geniuses and retards, add rolls for 18/xx and 2/xx on a natural 18 or 3.
Zachary Richardson
Roll a 1d4. 1-2 subtract from 100, 3-4 increase it. Anytime you roll max or roll minimum, you roll again to alter it further and increase the dice size.