File:Central theorem 2.svg

Summary[edit]

R code[edit]

set.seed(1)

sum.123 <- function (N) return(sum(sample(rep(1L:3L, N))[1:N]))

x <- rep(0.0, 10000)
for (i in 1L:length(m)) x[i] <- sum.123(1000)

h <- hist(
	x,
	xlab=paste0("Sample sum"),
	ylab="Frequency",
	main="Histogram of 10,000 times simulations",
	xlim=c(1900,2100), freq = T,
	breaks=seq(1900,2100,2),
	col=gray(0.9),
	cex = 2
)
xfit <- seq(min(x),max(x),length=40)
yfit <- dnorm(xfit,mean=mean(x),sd=sd(x))
yfit <- yfit*diff(h$mids[1:2])*length(x)
lines(xfit, yfit, col="red", lwd=1) 

Licensing[edit]

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