Central Limit Theorem Teacher Resources

For this detailed lesson looking at text messaging behavior, students investigate the sampling distribution for the sample mean to learn what factors affect its shape. They will also be introduced to the Central Limit Theorem.

Video reviews the central limit theorem and uses a simulation to illustrate sampling distributions and how they approach a normal distribution with larger sample sizes even if the original distribution was not normal. Also discusses the...

Video discusses the importance of the normal distribution and gives its formula with examples of how it is used. Connects to the central limit theorem. Manipulates the normal distribution formula to show different forms of it. Uses Excel...

Brief definition and example of the Central Limit Theorem.

Quick definition of the central limit theorem. A piece of clip art is shown to aid in understanding.

A detailed explanation of statistical sampling distributions is provided here. Several graphs are attached to aid in understanding. The sampling distribution of the mean and the Central Limit Theorem are also discussed at this site.

Use simulation on the TI-83 graphing calculator to teach students about the distribution of sample proportions, distribution of sample means, the Central Limit Theorem, normal probability plots, and the Law of Large Numbers. Pick and...

Students learn about confidence intervals. Topics explored are the Central Limit Theorem, large sample confidence intervals, and confidence intervals for small samples. The tutorial investigates the statistics concept through class notes...

Video reviews the central limit theorem and uses a simulation to illustrate sampling distributions and how they approach a normal distribution with larger sample sizes even if the original distribution was not normal.

In this applet, rolling of dice is studied. The number that lands face "up" on the die is graphed as the die is rolled repeatedly. The user begins to see, with increased accuracy, the standard normal curve appearing as the graph.

Standard error is discussed in terms of the Central Limit Theorem. The site mentions "Rule 3 of the CLT" as a means to eliminate the error. Here that process is validated in reason and supported with an example.

This lesson will explain the Central Limit Theorem. It is 2 of 3 in the series titled "Shape of a Sampling Distribution."

This lesson will explain the Central Limit Theorem. It is 3 of 3 in the series titled "Shape of a Sampling Distribution."

This resource provides interactive visualizations of probability concepts. Covers basic probability, compound probability, probability distributions, frequentist inference, Bayesian inference, and regression analysis. The authors are...

Video discusses the effect of sample size on the sampling distribution. Shows using a simulation how as sample size increases the sampling distribution becomes more normal and the standard deviation decreases. Also discusses the effect...

More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean.

The central limit theorem and the sampling distribution of the sample mean.

The author of the article admits having had a difficult time in the past when getting students to understand that samples need to contain a substantial portion of the population. Here, an activity is detailed to bring this important fact...

Video discusses the importance of the normal distribution and gives its formula with examples of how it is used.

Video discusses the effect of sample size on the sampling distribution.

The concept of modeling sequences of random events using states and transitions between states became to known as Markov Chains. Introduction to Markov chains. Created by Brit Cruise.

This lesson focuses on probability theory for predicting the outcome of flipping a coin, and then flipping it multiple times.

This video serves as an introduction to Markov Chains. [7:15]

A page from the university's statistics site which builds on the standard errors from the Central Limit Theorem previously explained. Here hypothesis testing is defined and validated.