频率多边形、累积频率与箱线图

频率多边形、累积频率与箱线图
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2017-05-24 19:24
本范例通过拖动数据点来改变频率多边形的形状,探索其对累积频率和箱线图的影响。涉及的核心数学概念包括频率多边形、累积频率和箱线图。使用了GeoGebra中的Point, Element, Segment, Name, Join, If, PolyLine, Intersect, Midpoint, Polygon, TableText等命令。适合高中数学教学和学习,特别是统计学和概率统计领域。

GeoGebra 命令及参数

  1. Point(x = 1) → B
  2. Point(x = 3) → C
  3. Point(x = 11) → G
  4. Point(x = 5) → D
  5. Point(x = 7) → E
  6. Point(x = 9) → F
  7. Point(x = 13) → H_1
  8. Element(list3, 1) → B2
  9. Element(list3, 3) → B4
  10. Element(list3, 2) → B3
  11. Element(list3, 7) → B8
  12. Element(list3, 6) → B7
  13. Element(list3, 5) → B6
  14. Element(list3, 4) → B5
  15. Segment(B, C) → a
  16. Segment(C, D) → b
  17. Segment(D, E) → c
  18. Segment(E, F) → d
  19. Segment(F, G) → e
  20. Name(list3) → C1_1
  21. Name(list3) → C2_1
  22. Name(list3) → C1_2
  23. Name(list3) → C1_3
  24. Name(list3) → C1_4
  25. Join({{(0, 0)}, Sequence[(Element[list2, i] + 1, Element[list4, i]), i, 1, Length[list2]]}) → list5
  26. If(B2 > 0, F2, If[B3 > 0, F3, If[B4 > 0, F4, If[B5 > 0, F5, If[B6 > 0, F6, If[F7 > 0, F7, If[F8 > 0, F8, 0]]]]]]) → l
  27. If(B8 > 0, G8, If[B7 > 0, G7, If[B6 > 0, G6, If[B5 > 0, G5, If[B4 > 0, G4, If[B3 > 0, G3, If[B2 > 0, G2, 0]]]]]]) → m
  28. PolyLine(list5) → f
  29. Intersect(q, yAxis) → A
  30. Intersect(p, yAxis) → H
  31. Intersect(n, yAxis) → I
  32. Intersect(q, f) → J
  33. Intersect(p, f) → K, K_1, K_2
  34. Segment(A, J) → g
  35. Segment(J, M) → h
  36. Segment(H, K) → i
  37. Segment(K, P) → j
  38. Segment(T, U) → t
  39. Segment(B_1, C_1) → c_1
  40. Segment(D_1, E_1) → d_1
  41. Segment(B, F_1) → e_1
  42. Segment(G, H_1) → g_1
  43. Point(xAxis) → I_1
  44. Segment(H_1, I_1) → h_1
  45. Intersect(n, f) → L
  46. Segment(L, Q) → k
  47. Segment(R, S) → r
  48. Segment(S, W) → s
  49. Segment(W, V) → a_1
  50. Segment(V, R) → b_1
  51. Midpoint(r) → Z
  52. Midpoint(a_1) → A_1
  53. Segment(N, Z) → f_1
  54. Segment(A_1, O) → i_1
  55. Intersect(n, yAxis) → G_1
  56. Segment(G_1, L) → j_1
  57. Intersect(r, b_1) → J_1
  58. Intersect(r, s) → L_1
  59. Intersect(s, a_1) → M_1
  60. Intersect(a_1, b_1) → N_1
  61. Polygon(J_1, L_1, M_1, N_1) → poly1, j_2, l_1, m_1, n_1
  62. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}, {A8, B8}}, "c_") → text2

AI 绘图提示语参考

绘制一个频率多边形,通过拖动数据点改变形状,观察其对累积频率和箱线图的影响。首先在x轴上创建六个点B、C、D、E、F和G,然后连接这些点形成多边形。接着创建一个列表,从中抽取点B、C、D、E、F、G和H1,用于绘制累积频率曲线。最后,根据这些点绘制箱线图的各个部分。
以上提示语为根据原始绘图命令整理而来,仅供参考。