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Sampling Distribution of the Mean by Steve Phelps

Sampling Distribution of the Mean by Steve Phelps
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2015-01-19 21:27
SequenceProbability & StatisticsGraphing
In collections Statistics Demonstrations Statistics Demonstrations Statistics Demonstrations Statistics 2
This example demonstrates repeatedly taking samples (with replacement) from a population of approximately 500 normally distributed data values and plotting the distribution of sample means. Key mathematical concepts include arithmetic mean, normal distribution, and probability & statistics. GeoGebra commands used include Sequence, Mean, Textfield, DotPlot, and Translate. Suitable for high school statistics courses.

GeoGebra Commands & Parameters

  1. Sequence(RandomElement[datatags], a, 1, n) → list1
  2. Mean(list1) → a
  3. Textfield(n) → inputBox1
  4. DotPlot(data, true, 1) → list2
  5. Translate(DotPlot[datatags], (0, 20)) → list3