MathPlotAI Logo MathPlotAI

Visualize Mean, Median, IQR, and MAD

Visualize Mean, Median, IQR, and MAD
Loading the math board and drawing, please wait…
2019-05-02 01:31
Geometric Construction
This example allows students to manipulate data points to create different distributions and observe the impact on statistical measures such as mean, median, interquartile range (IQR), and mean absolute deviation (MAD). It involves core concepts like statistical measures and their sensitivity to data distribution. Constructed using commands like Segment, Point, Line, Frequency, Mode, Sequence, Mean, Circle, Intersect, Vector in GeoGebra. Suitable for high school students learning statistics and data analysis.

GeoGebra Commands & Parameters

  1. Segment((0, 0), (9, 0)) → g
  2. Point(g) → M
  3. Point(g) → Q
  4. Point(g) → N
  5. Point(g) → L
  6. Point(g) → K
  7. Point(g) → P
  8. Point(g) → C
  9. Point(g) → D
  10. Point(g) → E
  11. Point(g) → F
  12. Point(g) → G
  13. Point(g) → H
  14. Point(g) → I
  15. Point(g) → J
  16. Point(g) → R
  17. Point(g) → O
  18. Line(A, B) → f
  19. Frequency(list4, list1) → list5
  20. Segment((-0.5, 0), (9.5, 0)) → i
  21. Mode(list1) → list3
  22. Mode(list1) → list6
  23. Sequence(Sequence[Polygon[(n - 0.5, 0), (n - 0.5, k), (n + 0.5, k), (n + 0.5, 0)], k, 1, Element[list5, n + 1], 1], n, 0, 9, 1) → list2
  24. Sequence(abs(list1(n) - Mean[list1]), n, 1, Length[list1]) → L_1
  25. Mean(L_1) → mad
  26. Point(h) → S
  27. Circle(S, mad) → d
  28. Line(S, i) → k
  29. Intersect(d, k, 1) → T
  30. Intersect(d, k, 2) → U
  31. Vector(S, T) → u
  32. Vector(S, U) → v
  33. Point(j) → V
  34. Circle(V, iqr) → e
  35. Line(V, i) → l
  36. Intersect(e, l, 1) → W
  37. Intersect(e, l, 2) → Z
  38. Vector(V, W) → w
  39. Vector(V, Z) → b