This worksheet demonstrates the Central Limit Theorem using a uniform probability distribution where the random variable X has an equal probability of taking a value between 10 and 30.
What you're seeing: 100 random samples are drawn from the distribution. The mean of each sample is computed. A frequency distribution of all 100 sample means is constructed. Use the checkboxes to display the frequency distributions for different samples size from n = 1 to n = 60.

What happens to the shape of the frequency distribution as the sample size is increased, specifically the height of the peak and the width of the distribution?