# How to display central limit theorem using uniform random variable in R?

R ProgrammingServer Side ProgrammingProgramming

The central limit theorem says that as the sample size increases the distribution of the sample means approaches normal distribution. Therefore, irrespective of the actual population distribution if we take samples of larger size and find the mean of these samples then the distribution of these sample means will be approximately normal. We can display this in R, by creating the histogram of such type of means.

## Example1

> x<-replicate(5000,{x1<-runif(5,1,2)
+ mean(x1)})
> hist(x)

## Example2

> y<-replicate(10000,{y1<-runif(5,1,2)
+ mean(y1)})
> hist(y)

## Output

Published on 23-Nov-2020 10:48:09