# Illustration Of The Central Limit Theorem

### (Theory) ###### Theory ## What is Illustration of the central limit theorem?

This article gives two concrete illustrations of the central limit theorem. Both involve the sum of independent and identically-distributed random variables and show how the probability distribution of the sum approaches the normal distribution as the number of terms in the sum increases. The first illustration involves a continuous probability distribution, for which the random variables have a probability density function. The second illustration, for which most of the computation can be done by hand, involves a discrete probability distribution, which is characterized by a probability mass function. A free full-featured interactive simulation that allows the user to set up various distributions and adjust the sampling parameters is available through the External links section at the bottom of this page.

### Technology Types

central limit theoremtheory

### Synonyms

Central limit theorem

## Tech Info

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— Date merged: 11/6/2021, 1:32:50 PM
— Date scraped: 5/20/2021, 5:46:46 PM