Central Limit Theorem - Maple Programming Help

Home : Support : Online Help : Math Apps : Probability and Statistics : Statistics : MathApps/CentralLimitTheorem

Central Limit Theorem

 Main Concept A sample distribution Y derived from distribution $X$ is a distribution created by taking, for the value of Y, the average value of a sample of $k$ instances of the variable $X$.   The Central Limit Theorem states that any sample distribution approaches a normal distribution as the size of the sample increases.

A discrete distribution X is shown. Increase the sample size and notice that as the size increases, the resulting sample distribution Y (blue bars) approaches the normal distribution (red curve) which has the same mean and standard deviation as Y.

 sample size:

 More MathApps