Dice Roll Thread
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pipsqueeek
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Re: Dice Roll Thread
The distribution wouldn't be normal though(we hope), so standard deviation wouldn't really be relevant...Siniri wrote:The standard deviation for a 10-sided die is 2.872281323.Jas O'Lantern wrote:I wonder how much variety this will give.
Variance=8.25.
Range=[1,10].
I only bothered because I still had the SD calculated from my earlier experiment...
/procrastination
Unless you mean for multiple dice. But then it'd be different for different numbers of dice.
Just because...
It amuses me that you can roll dice that can't physically exist
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Laq
Re: Dice Roll Thread
Right. I didn't use the normal distribution to calculate the SD. Every distribution has a variance, and thus a SD (which is the square root of the variance). The variance does change with the number of sides on the die, of course. During my experiment, I relied on the Central Limit Theorem given my large number of trials (and thus I used z-tests to determine the p-values). But the SD's I used for each die were not based on the normal distribution. Admittedly, I looked the formula up on-line instead of referring to my old textbooks, but it gelled with the one in my memory -- and it gave the proper variance for a two-sided die, which is just a binomial distribution. FYI, for a discrete random variable, the variance is the sum of {(probability of outcome i) times [(<value of outcome i> minus mean) squared]}. So for a 2-sided die, it's 1/2 * [(1-1.5)^2 + (2-1.5)^2] (because the probability for each outcome is the same for a fair die, it can be pulled outside the summation) = 0.25.pipsqueeek wrote:The distribution wouldn't be normal though(we hope), so standard deviation wouldn't really be relevant...Siniri wrote:The standard deviation for a 10-sided die is 2.872281323.Jas O'Lantern wrote:I wonder how much variety this will give.
Variance=8.25.
Range=[1,10].
I only bothered because I still had the SD calculated from my earlier experiment...
/procrastination
Unless you mean for multiple dice. But then it'd be different for different numbers of dice.
Jas wondered about the variety that would be given by her roll -- and variance is a measure of how spread out a distribution is; I thought this might be what she meant by variety.
Blue graffitied on my signature... But it made me laugh, so it's all good!
Re: Dice Roll Thread
A 95 out of 777 numbers... Interesting.
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Combusken BG
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Re: Dice Roll Thread
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Uncle Xyzzy
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Evil Stu Man
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Re: Dice Roll Thread
I'm too old for this!