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Visualizing Samples

Visualizing Samples
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2019-05-11 01:15
Probability & StatisticsGraphing
This activity demonstrates how to visualize measures of center and spread by observing the impact on a randomly generated histogram. It involves core statistical concepts like mean, standard deviation, and mean absolute deviation. Constructed using GeoGebra commands such as Sequence, Histogram, mean, etc., it is suitable for high school statistics education or student exploration of data distribution characteristics.

GeoGebra Commands & Parameters

  1. Sequence(InverseNormal[mean1, standarddeviation1, random()], n, 0, 99) → Numbers1
  2. Sequence(mean1 + (n * standarddeviation1 / 2), n, -10, 10, 1) → Boundaries1
  3. Histogram(Boundaries1, Numbers1) → Visual1
  4. Sequence(abs(Numbers1(n) - mean1), n, 1, Length[Numbers1]) → AbsoluteDeviations1
  5. mean(AbsoluteDeviations1) → mad1
  6. Sequence(Random[1, 100], n, 1, 10) → SampleIndices
  7. Sequence(Numbers1(SampleIndices(n)), n, 1, Length[SampleIndices]) → Sample
  8. Histogram(Boundaries1, Sample) → Visual2