In this example of the Central Limit Theorem, we take 30 independent simple random samples from a parent population. The size of each sample can be set with the slider on the left. If the sample size is large enough, the distribution of sample means approximates a normal distribution, even when the population from which we have sampled has an irregular distribution. The more irregular the parent population is, the larger our sample size must be to approximate a normal distribution of the sample means.