[R] plot - central limit theorem

Rubén Roa-Ureta rroa at udec.cl
Wed Oct 15 22:10:38 CEST 2008

Jörg Groß wrote:
> Hi,
> Is there a way to simulate a population with R and pull out m samples, 
> each with n values
> for calculating m means?
> I need that kind of data to plot a graphic, demonstrating the central 
> limit theorem
> and I don't know how to begin.
> So, perhaps someone can give me some tips and hints how to start and 
> which functions to use.
> thanks for any help,
> joerg
x <- runif(10000,0,1)
y <- runif(10000,0,1)
z <- runif(10000,0,1)
u <- runif(10000,0,1)
v <- runif(10000,0,1)
w <- runif(10000,0,1)
t <- x+y+z+u+v+w
hist(t,breaks=100,xlab="sum of i.i.d r.v with finite mean and 

Change runif for the corresponding function of the distribution of your 
Not exactly what you wanted but it does verify the C.L.T.

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