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The quantile plot plots the quantiles of one distribution against the quantiles of another. It provides a visual method of comparing two distributions that is especially sensitive to departures in the tails of the distribution. In this Demonstration we construct the standardized sum of ... unit exponential random variables. We compare the plot of its probability density function and the quantile plot of its quantiles versus the normal quantiles. At ... , the pdf plot suggests the tails have converged but the quantile plot reveals that the tails of the sum are still a little bit thicker. The central limit theorem may be illustrated by showing the convergence of the probability density function of the sum of random variables, such as unit exponentials, to the standard normal. The zoom control allows the pdf plot to be enlarged. It is ignored for the quantile plot.

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      EUN,LOM,LRE4,work-cmr-id:397888,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/IllustratingTheCentralLimitTheoremUsingTheQuantilePlotForSum/,ilox,learning resource exchange,LRE metadata application profile,LRE

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