Central Limit Theorem
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Created by Michael O'Connor with Mathify.dev
This animation demonstrates the Central Limit Theorem by showing how the average of random samples from various starting distributions—such as a die roll or an exponential curve—gradually transforms into a smooth, bell-shaped Gaussian curve as the sample size increases. By the time thirty samples are averaged, even non-symmetric distributions like the exponential or bimodal families converge to the same golden bell shape.