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Exploring Averages and Outliers

Exploring Averages and Outliers
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2016-06-23 04:41
Probability & StatisticsOptimizationGeometric Construction
This example demonstrates the impact on measures of averages when moving data points and selecting outliers. It involves core math concepts like Arithmetic Mean, Mode, and Statistical Characteristics. Constructed using commands such as Point, Sequence, RemoveUndefined, Segment, BoxPlot, LineBisector, Intersect, OrthogonalLine and objects like matrix1, list1, etc. Ideal for high school students learning Probability & Statistics to understand data variations effects on statistical measures.

GeoGebra Commands & Parameters

  1. Point(xAxis) → K
  2. Point(xAxis) → J
  3. Point(xAxis) → I
  4. Point(xAxis) → H
  5. Point(xAxis) → B
  6. Point(xAxis) → C
  7. Point(xAxis) → D
  8. Point(xAxis) → E
  9. Point(xAxis) → F
  10. Point(xAxis) → G
  11. Point(xAxis) → A
  12. Sequence((If[Element[matrix1, 2, i] ≟ 0, Element[matrix1, 1, i]], 0), i, 1, 11) → list1
  13. Sequence((If[Element[matrix1, 2, i] ≟ 1, Element[matrix1, 1, i]], 0), i, 1, 11) → list2
  14. RemoveUndefined(list1) → list3
  15. RemoveUndefined(list2) → list4
  16. Segment((Min[x(list3)], 3), (Max[x(list3)], 3)) → m
  17. BoxPlot(3, 0.25, x(list3)) → r
  18. Sequence((Element[list5, i], 3), i, 1, Length[list4]) → list6
  19. LineBisector(m) → i
  20. Intersect(i, m) → L
  21. OrthogonalLine(Median, xAxis) → p
  22. OrthogonalLine(Mean, xAxis) → q
  23. Intersect(q, xAxis) → M
  24. Intersect(p, xAxis) → N
  25. Segment(Median, N) → s
  26. Segment(Mean, M) → t