正态分布探究 by Neil

正态分布探究 by Neil
几何画板及绘图内容加载中,请稍等……
2015-09-28 14:58
这个范例演示了正态分布的特性。它涉及概率统计的核心概念,通过使用GeoGebra命令如Segment, Point, Histogram, Mean, SD, BoxPlot, Normal, Polygon, NormalQuantilePlot等,构建了一个直观的正态分布图形。适合高中及以上学生或教师使用,帮助理解正态分布的形状、均值、标准差等概念。

GeoGebra 命令及参数

  1. Segment((0, 0.001), (100, 0.001)) → 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. Point(a) → M
  15. Point(a) → N
  16. Point(a) → O
  17. Point(a) → P
  18. Point(a) → Q
  19. Point(a) → R
  20. Point(a) → S
  21. Point(a) → T
  22. Point(a) → U
  23. Point(a) → V
  24. Point(a) → W
  25. Point(a) → Z
  26. Point(a) → A_1
  27. Point(a) → B_1
  28. Point(a) → C_1
  29. Point(a) → D_1
  30. Point(a) → E_1
  31. Point(a) → F_1
  32. Point(a) → G_1
  33. Point(a) → H_1
  34. Point(a) → I_1
  35. Point(a) → J_1
  36. Point(a) → K_1
  37. Point(a) → L_1
  38. Point(a) → M_1
  39. Point(a) → N_1
  40. Point(a) → O_1
  41. Point(a) → P_1
  42. Point(a) → Q_1
  43. Point(a) → R_1
  44. Point(a) → S_1
  45. Point(a) → T_1
  46. Point(a) → U_1
  47. Point(a) → V_1
  48. Point(a) → W_1
  49. Point(a) → Z_1
  50. Point(a) → A_2
  51. Point(a) → B_2
  52. Point(a) → C_2
  53. Point(a) → D_2
  54. Point(a) → E_2
  55. Point(a) → F_2
  56. Point(a) → G_2
  57. Point(a) → H_2
  58. Point(a) → I_2
  59. Point(a) → J_2
  60. Point(a) → K_2
  61. Point(a) → L_2
  62. Histogram({0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}, B1:B60, true, 0.016666666666666666) → c
  63. Mean(B1:B60) → mean
  64. SD(B1:B60) → sd
  65. BoxPlot(0.03, 0.001, mean - sd, mean, mean, mean, mean + sd) → d
  66. Normal(mean, sd, x) → g
  67. Segment((mean, 0), (mean, 0.02)) → h
  68. BoxPlot(0.033, 0.001, mean - (2 * sd), mean, mean, mean, mean + (2 * sd)) → e
  69. BoxPlot(0.036, 0.001, mean - (3 * sd), mean, mean, mean, mean + (3 * sd)) → f
  70. BoxPlot(0.025, 0.001, B1:B60) → b
  71. Polygon((105, 0.01), (115, 0.01), (115, 0.0116667), (105, 0.0116667)) → poly2, s, t, a_1, b_1
  72. NormalQuantilePlot(B1:B60) → list1

AI 绘图提示语参考

画一条水平线,在线上均匀分布50个点,然后用这些点构建一个多边形,展示正态分布的基本形态,适合用于概率和统计教学。
以上提示语为根据原始绘图命令整理而来,仅供参考。