Re: (TFT) scaled stats

[<dwtulloh61@cox.net>]

Well, the more dice, the better the approximation.

For a true normal curve, 1 standard deviation encompasses about 68%
of the population.  2 standard deviations, about 95% and 3 standard 
deviations about 99.5%.

The standard deviation of the sum of k nsided dice is sqrt( n*(k^2-1)/12 )

---- gem6868 <gem6868@verizon.net> wrote: 
> does this produce the "steeper" bell curve Mark is discussing - in other 
> words is that "true normal curve"?
> 
> -----Original Message----- 
> From: dwtulloh61@cox.net
> Sent: Thursday, October 06, 2011 7:16 PM
> To: tft@brainiac.com
> Cc: Mark Tapley
> Subject: Re: (TFT) scaled stats
> 
> Actually, 2d6 produce what's called a "Triangular Distribution."
> 
> nD6, when n > 2, produce a normal (bell) curve.  The more dice, the
> closer the approximation to a true normal curve.  The mean, or average,
> of nD6 is 3.5*n ... so for 1D6, the average is 3.5 ... for 2D6, the average
> is a 7 ... for 3D6 it's 10.5, etc.
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