5. The Central Limit Theorem

Jacob Mills
Mathematics
1 class period, 42 minutes
High School AP Statistics
v4

Overview

Students will explore the relationship between the shape of the population distribution, the sample size and the shape of the sampling distribution.

Central Limit Theorem demonstrates relations between population distributions and their sample mean distributions as well as the effect of sample size on this relation. In this model, a population is distributed by some variable, for instance by their total assets in thousands of dollars. The population is distributed randomly -- not necessarily 'normally' -- but sample means from this population nevertheless accumulate in a distribution that approaches a normal curve. The program allows for repeated sampling of individual specimens in the population

Underlying Pages

Standards

Computational Thinking in STEM 2.0
  •   Computational Data Practices
  •   Computational Modeling and Simulation Practices
    • [CT-MODEL-1] Using computational models to understand a complex phenomenon
    • [CT-MODEL-2] Using computational models to hypothesize and test predictions