累积频率、直方图与箱线图的比较

累积频率、直方图与箱线图的比较
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2017-05-15 03:52
①本范例演示了累积频率分布、直方图和箱线图三种统计图形的绘制与比较;②涉及的核心数学概念包括概率统计、数据分布、五数概括等;③作图要点提炼自构造摘要,使用了Random, RandomElement, Histogram, CircumcircleArc, Intersect, Segment, Line, TableText等GeoGebra命令与对象;④适合高中及以上学生及需要理解数据可视化与统计分析的教师使用。

GeoGebra 命令及参数

  1. Random(10, 20) → C3
  2. Random(10, 20) → C6
  3. Random(20, 30) → C4
  4. Random(5, 15) → C2
  5. Random(5, 15) → C7
  6. RandomElement({10, 15, 20}) → D2
  7. RandomElement({10, 15}) → D3
  8. RandomElement({5, 10}) → D4
  9. RandomElement({5, 10}) → D5
  10. RandomElement({10, 15}) → D6
  11. RandomElement({10, 15, 20}) → D7
  12. Histogram({A2, B2, B3, B4, B5, B6, B7}, {E2, E3, E4, E5, E6, E7}) → a
  13. CircumcircleArc(G, A, B) → c
  14. CircumcircleArc(B, C, D) → d
  15. CircumcircleArc(D, E, F) → e
  16. Intersect(d, b) → H,
  17. Segment(I, H) → f
  18. Line(H, yAxis) → g
  19. Intersect(g, xAxis) → J
  20. Segment(H, J) → h
  21. Intersect(e, i, 1) → K
  22. Intersect(c, j, 1) → L
  23. Line(D, yAxis) → k
  24. Line(L, yAxis) → l
  25. Intersect(l, xAxis) → M
  26. Segment(P, K) → n
  27. Segment(O, L) → q
  28. Segment(L, M) → r
  29. Line(K, yAxis) → p
  30. Intersect(p, xAxis) → N
  31. Segment(K, N) → s
  32. Intersect(d, i) → Q,
  33. Line(Q, yAxis) → t
  34. Intersect(t, xAxis) → R
  35. Segment(P, Q) → a_1
  36. Segment(R, Q) → b_1
  37. Intersect(d, j) → S,
  38. Line(S, yAxis) → c_1
  39. Intersect(c_1, xAxis) → T
  40. Segment(O, S) → d_1
  41. Segment(S, T) → e_1
  42. Segment(K, N) → f_1
  43. Segment(U, V) → g_1
  44. Segment(W, Z) → h_1
  45. Segment(B_1, D_1) → i_1
  46. Segment(B_1, J_1) → j_1
  47. Segment(D_1, K_1) → k_1
  48. Segment(F_1, G_1) → l_1
  49. Segment(J_1, K_1) → m_1
  50. Segment(M_1, N_1) → n_1
  51. Segment(O_1, P_1) → p_1
  52. Segment(C_1, H_1) → q_1
  53. Segment(E_1, I_1) → r_1
  54. Segment(C_1, E_1) → s_1
  55. Segment(H_1, I_1) → t_1
  56. Segment(W, A_1) → a_2
  57. Segment(L_1, N_1) → b_2
  58. Segment(B_1, H_1) → c_2
  59. Segment(D_1, I_1) → d_2
  60. Segment(C_1, J_1) → e_2
  61. Segment(E_1, K_1) → f_2
  62. TableText({{A1, B1, C1}, {A2, B2, C2}, {A3, B3, C3}, {A4, B4, C4}, {A5, B5, C5}, {A6, B6, C6}, {A7, B7, C7}}, "|_") → text1
  63. TableText({{A12, B12, C12, D12}, {A13, B13, C13, D13}, {A14, B14, C14, D14}, {A15, B15, C15, D15}, {A16, B16, C16, D16}, {A17, B17, C17, D17}, {A18, B18, C18, D18}}, "|_") → text2
  64. TableText({{A20, B20, C20}, {A21, B21, C21}, {A22, B22, C22}, {A23, B23, C23}, {A24, B24, C24}, {A25, B25, C25}, {A26, B26, C26}}, "|_") → text4
  65. TableText({{A20, B20, C20, D20}, {A21, B21, C21, D21}, {A22, B22, C22, D22}, {A23, B23, C23, D23}, {A24, B24, C24, D24}, {A25, B25, C25, D25}, {A26, B26, C26, D26}}, "|_") → text5