File:Dice sum central limit theorem.svg

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	16:51, 7 April 2012		512 × 614 (16 KB)	Cmglee	Use a Gaussian more similar to shown sums.

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Short title

Comparison of probability density functions for the sum of n dice to illustrate the central limit theorem

Image title

Comparison of probability density functions, p(k) for the sum of n fair 6-sided dice to show their convergence to a normal distribution with increasing n, in accordance to the central limit theorem; illustrated by CMG Lee. In the individual probability distribution functions, the minima, maxima and mods are labelled. In the bottom-right graph, smoothed profiles of the previous graphs are rescaled, superimposed and compared with a normal distribution, shown in black.