3.4 Try it for yourself

In this interactive web application, you can see the Central Limit Theorem in action for yourself. First, choose a distribution from the drop-down menu, and then see what happens with different sample sizes by moving the slider to the right or left. What happens to the skewness of the histogram of means as \(n\) increases, and is this different for the different distributions? Do you notice any other changes?

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These notes have been prepared by Amanda J. Shaker. The copyright for the material in these notes resides with the author named above, with the Department of Mathematics and Statistics and with La Trobe University. Copyright in this work is vested in La Trobe University including all La Trobe University branding and naming. Unless otherwise stated, material within this work is licensed under a Creative Commons Attribution-Non Commercial-Non Derivatives License CC BY-NC-ND