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Standard Deviation of Sample Means Demo

Standard Deviation of Sample Means Demo
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2019-11-24 14:21
CalculusProbability & StatisticsOptimization
This example demonstrates the distribution pattern of the standard deviation of sample means. Key math concepts include sample mean, standard deviation, normal distribution, and sampling distribution. GeoGebra commands used are mean for calculating mean, DotPlot for plotting sample distribution, stdevp for sample standard deviation, and Sample for generating sample data. Suitable for introductory university statistics courses.

GeoGebra Commands & Parameters

  1. mean(m) → mu
  2. DotPlot(U) → l1
  3. stdevp(U) → sigmaU
  4. Sample(U, 80) → l2
  5. DotPlot(l2) → l3
  6. mean(l2) → ubarE
  7. mean(Sample[U, 80]) → ubar
  8. stdevp(l2) → sE
  9. stdevp(Sample[U, 80]) → s
  10. DotPlot(m) → l4
  11. mean(m) → mbarE
  12. mean(m) → mbar
  13. stdevp(m) → smE