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Resistance of Mean and Median

Resistance of Mean and Median
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2016-02-23 23:17
SequenceProbability & StatisticsGraphing
This interactive GeoGebra model illustrates the resistance of the mean and median to outliers. Key mathematical concepts include arithmetic mean, median, frequency distribution, and statistical robustness. The construction employs GeoGebra commands like Sequence, DotPlot, Mean, and Median to dynamically generate data points and compute statistics. It is designed for middle school statistics classes or introductory data analysis, providing a visual understanding of how different measures of central tendency respond to data distribution changes.

GeoGebra Commands & Parameters

  1. Ray((0, 1), (1, 1)) → a
  2. Sequence(round(RandomNormal[10, 2]), i, 1, n) → list1
  3. Point(a) → A
  4. Frequency(list1) → counts
  5. Unique(list1) → numbers
  6. DotPlot(Append[x(A), list1]) → dots
  7. Mean(Append[x(A), list1]) → mean
  8. Median(Append[x(A), list1]) → med
  9. Element(Mode[Append[x(A), list1]], 1) → mode
  10. Point({mean, -1}) → meanA
  11. Point({mean, -1}) → meanB
  12. Point({med, -1}) → medA
  13. Point({med, -1}) → medB
  14. Point({mode, -1}) → modeA
  15. Point({mode, -1}) → modeB
  16. Vector(modeA, modeB) → u
  17. Vector(medA, medB) → v
  18. Vector(meanA, meanB) → w