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数据分布比较

数据分布比较
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2014-09-25 13:51
概率统计最值优化函数图像
所属专题 Statistical Intuition Builders
本范例演示如何比较和对比不同数据集的统计中心值（如均值、中位数）和数据可视化（如箱线图、散点图）。通过动态演示，直观展示正态分布、标准差等概念。作图要点：使用了Polygon、PointIn、BoxPlot、MeanX、SDX、Normal、Intersect、Circle、OrthogonalLine、Segment、Mirror等GeoGebra命令和对象来构建和展示数据分布图形。适合高中及以上数学教学，用于概率统计和数据分析课程。

GeoGebra 命令及参数

  1. Polygon(A, B, C, D) → poly1, a, top, c, mid
  2. Polygon(E, F, G, H) → poly2, e, bottom, g, h
  3. PointIn(poly1) → P
  4. PointIn(poly1) → Q
  5. PointIn(poly1) → R
  6. PointIn(poly1) → O
  7. PointIn(poly1) → A_1
  8. PointIn(poly1) → B_1
  9. PointIn(poly1) → I
  10. PointIn(poly1) → J
  11. PointIn(poly1) → K
  12. PointIn(poly1) → L
  13. PointIn(poly1) → M
  14. PointIn(poly1) → N
  15. PointIn(poly2) → S
  16. PointIn(poly2) → T
  17. PointIn(poly2) → U
  18. PointIn(poly2) → V
  19. PointIn(poly2) → W
  20. PointIn(poly2) → Z
  21. PointIn(poly2) → C_1
  22. PointIn(poly2) → D_1
  23. PointIn(poly2) → E_1
  24. PointIn(poly2) → F_1
  25. PointIn(poly2) → G_1
  26. PointIn(poly2) → H_1
  27. BoxPlot(7.5, 0.3, x(list_o), true) → boxorange
  28. BoxPlot(6.5, 0.3, x(list_p), true) → boxpurple
  29. MeanX(list_o) → mean_o
  30. MeanX(list_p) → mean_p
  31. SDX(list_o) → sd_o
  32. SDX(list_p) → sd_p
  33. Normal(mean_o, sd_o, x) → f
  34. Normal(mean_p, sd_p, x) → p
  35. Intersect(d, xAxis) → I_1
  36. Intersect(b, xAxis) → J_1
  37. Circle(I_1, sd_p) → k
  38. Circle(I_1, (2 * sd_p)) → s
  39. Circle(I_1, (3 * sd_p)) → t
  40. Circle(J_1, sd_o) → c_1
  41. Circle(J_1, (2 * sd_o)) → d_1
  42. Circle(J_1, (3 * sd_o)) → e_1
  43. Intersect(k, xAxis) → K_1, L_1
  44. Intersect(s, xAxis) → M_1, N_1
  45. Intersect(t, xAxis) → O_1, P_1
  46. OrthogonalLine(K_1, xAxis) → i
  47. OrthogonalLine(M_1, xAxis) → j
  48. OrthogonalLine(O_1, xAxis) → l
  49. OrthogonalLine(L_1, xAxis) → m
  50. OrthogonalLine(N_1, xAxis) → n
  51. OrthogonalLine(P_1, xAxis) → a_1
  52. Circle(I_1, 6.5) → f_1
  53. Intersect(f_1, d) → Q_1, R_1
  54. Intersect(r, d, (-3.774228689632889, 2.1243967656986413)) → S_1
  55. Intersect(r, i, (-9.407954274837792, 1.2885117717905816)) → T_1
  56. Intersect(r, j, (-15.041679860042695, 0.2875058379927696)) → U_1
  57. Intersect(r, l, (-20.6754054452476, 0.023599916315999357)) → V_1
  58. Intersect(r, m, (1.8594968955720141, 1.2885117717905816)) → W_1
  59. Intersect(r, n, (7.493222480776917, 0.2875058379927696)) → Z_1
  60. Intersect(r, a_1, (13.126948065981821, 0.023599916315999357)) → A_2
  61. Segment(M_1, U_1) → b_1
  62. Segment(N_1, Z_1) → j_1
  63. Segment(P_1, A_2) → k_1
  64. Segment(I_1, Q_1) → h_1
  65. Segment(O_1, V_1) → l_1
  66. Circle(J_1, 7.5) → p_1
  67. Intersect(p_1, b) → B_2, C_2
  68. Segment(J_1, B_2) → m_1
  69. OrthogonalLine(D_2, xAxis) → n_1
  70. OrthogonalLine(E_2, xAxis) → q_1
  71. OrthogonalLine(F_2, xAxis) → r_1
  72. Mirror(n_1, m_1) → s_1
  73. Mirror(q_1, m_1) → t_1
  74. Mirror(r_1, m_1) → a_2
  75. Intersect(q, s_1, (-7.75562250181825, 1.8221829408666963)) → G_2
  76. Intersect(s_1, xAxis) → H_2
  77. Intersect(t_1, xAxis) → I_2
  78. Intersect(q, t_1, (-11.739372745974084, 0.4065839714153232)) → J_2
  79. Intersect(a_2, xAxis) → K_2
  80. Intersect(q, a_2, (-15.72312299012992, 0.03337444473412614)) → L_2
  81. Intersect(q, n_1, (0.21187798649342193, 1.8221829408666963)) → M_2
  82. Intersect(q, q_1, (4.195628230649257, 0.4065839714153229)) → N_2
  83. Intersect(q, r_1, (8.179378474805093, 0.03337444473412608)) → O_2
  84. Segment(K_2, L_2) → b_2
  85. Segment(I_2, J_2) → c_2
  86. Segment(N_2, E_2) → d_2
  87. Segment(O_2, F_2) → e_2
  88. OrthogonalLine(L_1, top) → i_2
  89. Intersect(i_2, top) → P_2
  90. OrthogonalLine(K_1, top) → j_2
  91. Intersect(top, j_2) → Q_2
  92. Segment(K_1, Q_2) → g_1
  93. Segment(L_1, P_2) → i_1
  94. OrthogonalLine(H_2, top) → k_2
  95. OrthogonalLine(D_2, top) → l_2
  96. Intersect(k_2, top) → R_2
  97. Intersect(l_2, top) → S_2
  98. Segment(H_2, R_2) → f_2
  99. Segment(D_2, S_2) → g_2