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Statistical Engineering: Central Limit Theorem: Summary
The Central Limit Theorem is the foundation for many statistical procedures since the distribution of the situation being studied does not have to be normal. Here is found a complete explanation of the CLT and graphs supporting the...
Science Education Resource Center at Carleton College
Serc: Seeing and Describing the Predictable Pattern: The Central Limit Theorem
A learning activity where students are guided into discovering the Central Limit Theorem. As they explore sampling distributions, they will identify predictable patterns which can be described with this mathematical theorem. Handouts for...
Brown University
Brown University: Seeing Theory
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...
![American Statistical Association: Who Sends the Most Text Messages? [Pdf] Lesson Plan](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "American Statistical Association: Who Sends the Most Text Messages? [Pdf] Lesson Plan")
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American Statistical Association: Who Sends the Most Text Messages? [Pdf]
In 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.
Texas Instruments
Texas Instruments: Probability, Simulations, and Probability Distributions
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...
Texas Instruments
Texas Instruments: Central Limit Theorem
This set contains questions regarding the Central Limit Theorem. The student sees that, as the size n increases, the shape of the sampling distribution gradually approaches a normal curve, and its population standard deviation decreases.
Texas Instruments
Texas Instruments: Introduction to the Central Limit Theorem
Students have trouble understanding the Central Limit Theorem (CLT). This activity is designed to show them what the theorem is saying. The students develop repeated lists of numbers from 1 to 10 and finding the mean of each list. : We...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Sampling Distributions and the Central Limit Theorem
Students learn about sampling distributions and the Central Limit Theorem. Topics explored are sample mean, population mean, and using the Central Limit Theorem. The tutorial investigates the statistics concepts through class notes and...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Confidence Intervals
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...
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Fayetteville State Univ.: Sampling Distributions
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.
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Journal of Statistics Education: A Sample / Population Size Activity
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...
Khan Academy
Khan Academy: Markov Chains
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.
CK-12 Foundation
Ck 12: Statistics: Central Limit Theorem
[Free Registration/Login may be required to access all resource tools.] Introduces students to the Central Limit Theorem. Students will learn about the Central Limit Theorem and calculate a sampling distribution using the mean and...
Mathigon
Mathigon: Probability and Discrete Math: Predicting the Future
This lesson focuses on probability theory for predicting the outcome of flipping a coin, and then flipping it multiple times.
California State University
Cal State San Bernardino: Central Limit Theorem Applet
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.
Other
Fayetteville State University: Standard Error
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.
Other
Berrie's Statistics Page: Central Limit Theorem
Brief definition and example of the Central Limit Theorem.
Curated OER
Image for Central Limit Theorem
Quick definition of the central limit theorem. A piece of clip art is shown to aid in understanding.