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交互式散点图（均值与中位数演示）

交互式散点图（均值与中位数演示）
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2020-01-09 14:44
概率统计几何作图函数图像
本范例演示如何通过拖动水平轴上的点来改变散点图的数据列表，并实时展示均值和中位数的计算与变化。涉及的核心数学概念包括数据分布、均值（平均数）和中位数（数据排序后位于中间的值）。作图要点使用了GeoGebra的Segment、Point、First、DotPlot、Sequence和Join等命令来创建和动态更新散点图及统计量。适合初中及以上学生用于概率统计教学，帮助理解数据集中趋势的表示方法。

GeoGebra 命令及参数

  1. Segment((x(L_l) - 0.5, 0), (x(L_u) + 0.5, 0)) → a
  2. Point(a) → A
  3. Point(a) → B
  4. Point(a) → C
  5. Point(a) → D
  6. Point(a) → E
  7. Point(a) → F
  8. Point(a) → G
  9. Point(a) → H
  10. Point(a) → I
  11. Point(a) → J
  12. Point(a) → K
  13. Point(a) → L
  14. Segment((0, (-v)), (0, v)) → l
  15. Point(a) → M
  16. Point(a) → N
  17. Point(a) → O
  18. Point(a) → P
  19. Point(a) → Q
  20. Point(a) → R
  21. Point(a) → S
  22. Point(a) → T
  23. Point(a) → U
  24. Point(a) → V
  25. Point(a) → W
  26. Point(a) → Z
  27. First(list1, Items) → list2
  28. DotPlot(list2) → list3
  29. Segment((Median[list2], 0), (Median[list2], 4)) → d_1
  30. Segment((-3, (-v)), (-3, v)) → i
  31. Segment((8, (-v)), (8, v)) → a_1
  32. Segment((9, (-v)), (9, v)) → b_1
  33. Segment((-9, (-v)), (-9, v)) → c
  34. Segment((-8, (-v)), (-8, v)) → d
  35. Segment((-7, (-v)), (-7, v)) → e
  36. Segment((-6, (-v)), (-6, v)) → f
  37. Segment((-5, (-v)), (-5, v)) → g
  38. Segment((-4, (-v)), (-4, v)) → h
  39. Segment((-2, (-v)), (-2, v)) → j
  40. Segment((-1, (-v)), (-1, v)) → k
  41. Segment((1, (-v)), (1, v)) → m
  42. Segment((2, (-v)), (2, v)) → n
  43. Segment((3, (-v)), (3, v)) → p
  44. Segment((4, (-v)), (4, v)) → q
  45. Segment((6, (-v)), (6, v)) → s
  46. Segment((5, (-v)), (5, v)) → r
  47. Segment((7, (-v)), (7, v)) → t
  48. Segment((mean[list2], 0), (mean[list2], -3)) → e_1
  49. Segment((x(L_l), (-v)), (x(L_l), v)) → b
  50. Segment((x(L_u), (-v)), (x(L_u), v)) → c_1
  51. Sequence((p, 0), p, x(L_l) + 1, x(L_u) - 1, 1) → maintick
  52. Sequence(Text[p, (p - 0.2, -0.8)], p, x(L_l) + 1, x(L_u) - 1, 1) → xaxislabel
  53. Join({{Text[Element[list1, 1]]}, Sequence["+" + (Element[list1, i + 1]), i, 1, Items - 1]}) → listSum