As promised, here is the code I used to simulate the means of samples of 6-sided dice.
:ClrHome
:Output(1,1,"HI")
:Input "SIZE",S
:Input "SAMPLENUM",N
:For(I,1,N)
:mean(randInt(1,6,S)) -> L1(I)
:Disp(N-1)
:End
For you non-coders, this program will first clear the home screen of basically whatever you were looking at before you hit the "PRGM" button. Then it will say "Hi." Then it will ask for the sample size. Then it will ask for the number of samples. Then it will take one sample, calculate the mean, then store the mean in the first row of list 1. Then it will take another sample, calculate the average, then store the mean in the next row of list 1. It will keep taking samples, calculating the means, and storing the means in list 1 until it has taken as many samples as you wanted it to take.