SOCR EduMaterials Activities GeneralCentralLimitTheorem

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SOCR Educational Materials - Activities - SOCR General Central Limit Theorem (CLT) Activity

This activity represents a very general demonstration of the effects of the Central Limit Theorem (CLT). The activity is based on the SOCR Sampling Distribution CLT Experiment. This experiment builds upon a RVLS CLT applet by extending the applet functionality and providing the capability of sampling from any SOCR Distribution.


  • Goals: The aims of this activity are to
    • provide intuitive notion of sampling from any process with a well-defined distribution
    • motivate and facilitate learning of the central limit theorem
    • emperically validate that sample-averages of random observations (most processes) follow approximately normal distribution
    • emperacally demonstrate that the sample-average is special and other sample statistics (e.g., median, variance, range, etc.) generally do not have distributions that are normal
    • illustrate that the expectation of the sample-average equals the population mean (and the sample-average is typically a good measure of centrality for a population/process)
    • show that the variation of the sample average rapidly decreases as the sample size increases (\( ~1\over{\sqrt(n)}\)).
  • The SOCR CLT Experiment: To start the this Experiment, go to SOCR Experiments and select the SOCR Sampling Distribution CLT Experiment from the drop-down list of experiments in the left panel.
SOCR Activities General CLT Dinov 012207 Fig1.jpg





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