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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.
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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.
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...
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...
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.
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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.
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...
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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.
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.
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Fayetteville State University: Hypothesis Testing
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.
Curated OER
Image for Mean
An overview of the statistical term, "mean." An example is provided for explanation. Links are given to other related terms: central limit theorem, population, median, and mode.