Java - Java

The Central Limit Theorem

This applet illustrates the Central Limit Theorem (CLT). Students can explore and discover the theorem instead of being told what it says. You should also check out the closely related Hypothesis Testing applet.

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Next answer the following questions:

If you can answer these questions, you can make up a generalized statement along the following lines:

If you have a population with an arbitrary distribution with a given mean mu and standard deviation sigma, and you select random samples of size N from that population, then the distribution of those sample means has a ____________ distribution with mean ___________ and standard deviation ___________. 

That theorem is called the Central Limit Theorem.