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68-95-99.7法则可视化

68-95-99.7法则可视化
几何画板及绘图内容加载中，请稍等……
2014-11-27 07:48
函数概率统计函数图像
所属专题 Normal Distribution Practice Problems
①本范例通过直方图演示正态分布的68-95-99.7法则（经验法则）；②涉及核心数学概念为正态分布、概率统计；③作图要点：使用RandomNormal生成随机数据，结合SD（标准差）、Mean（均值）计算参数，利用Sequence创建数据序列，绘制Histogram（直方图）并添加Point（点）标记；④适合高中及以上学生及需要理解概率统计基础知识的用户。

GeoGebra 命令及参数

  1. RandomNormal(0, 1) → A1
  2. RandomNormal(0, 1) → A2
  3. RandomNormal(0, 1) → A3
  4. RandomNormal(0, 1) → A4
  5. RandomNormal(0, 1) → A5
  6. RandomNormal(0, 1) → A6
  7. RandomNormal(0, 1) → A7
  8. RandomNormal(0, 1) → A8
  9. RandomNormal(0, 1) → A9
  10. RandomNormal(0, 1) → A10
  11. RandomNormal(0, 1) → A11
  12. RandomNormal(0, 1) → A12
  13. RandomNormal(0, 1) → A13
  14. RandomNormal(0, 1) → A14
  15. RandomNormal(0, 1) → A15
  16. RandomNormal(0, 1) → A16
  17. RandomNormal(0, 1) → A17
  18. RandomNormal(0, 1) → A18
  19. RandomNormal(0, 1) → A19
  20. RandomNormal(0, 1) → A20
  21. RandomNormal(0, 1) → A21
  22. RandomNormal(0, 1) → A22
  23. RandomNormal(0, 1) → A23
  24. RandomNormal(0, 1) → A24
  25. RandomNormal(0, 1) → A25
  26. RandomNormal(0, 1) → A26
  27. RandomNormal(0, 1) → A27
  28. RandomNormal(0, 1) → A28
  29. RandomNormal(0, 1) → A29
  30. RandomNormal(0, 1) → A30
  31. RandomNormal(0, 1) → A31
  32. RandomNormal(0, 1) → A32
  33. RandomNormal(0, 1) → A33
  34. RandomNormal(0, 1) → A34
  35. RandomNormal(0, 1) → A35
  36. RandomNormal(0, 1) → A36
  37. RandomNormal(0, 1) → A37
  38. RandomNormal(0, 1) → A38
  39. RandomNormal(0, 1) → A39
  40. RandomNormal(0, 1) → A40
  41. RandomNormal(0, 1) → A41
  42. RandomNormal(0, 1) → A42
  43. RandomNormal(0, 1) → A43
  44. RandomNormal(0, 1) → A44
  45. RandomNormal(0, 1) → A45
  46. RandomNormal(0, 1) → A46
  47. RandomNormal(0, 1) → A47
  48. RandomNormal(0, 1) → A48
  49. RandomNormal(0, 1) → A49
  50. RandomNormal(0, 1) → A50
  51. RandomNormal(0, 1) → A51
  52. RandomNormal(0, 1) → A52
  53. RandomNormal(0, 1) → A53
  54. RandomNormal(0, 1) → A54
  55. RandomNormal(0, 1) → A55
  56. RandomNormal(0, 1) → A56
  57. RandomNormal(0, 1) → A57
  58. RandomNormal(0, 1) → A58
  59. RandomNormal(0, 1) → A59
  60. RandomNormal(0, 1) → A60
  61. RandomNormal(0, 1) → A61
  62. RandomNormal(0, 1) → A62
  63. RandomNormal(0, 1) → A63
  64. RandomNormal(0, 1) → A64
  65. RandomNormal(0, 1) → A65
  66. RandomNormal(0, 1) → A66
  67. RandomNormal(0, 1) → A67
  68. RandomNormal(0, 1) → A68
  69. RandomNormal(0, 1) → A69
  70. RandomNormal(0, 1) → A70
  71. RandomNormal(0, 1) → A71
  72. RandomNormal(0, 1) → A72
  73. RandomNormal(0, 1) → A73
  74. RandomNormal(0, 1) → A74
  75. RandomNormal(0, 1) → A75
  76. RandomNormal(0, 1) → A76
  77. RandomNormal(0, 1) → A77
  78. RandomNormal(0, 1) → A78
  79. RandomNormal(0, 1) → A79
  80. RandomNormal(0, 1) → A80
  81. RandomNormal(0, 1) → A81
  82. RandomNormal(0, 1) → A82
  83. RandomNormal(0, 1) → A83
  84. RandomNormal(0, 1) → A84
  85. RandomNormal(0, 1) → A85
  86. RandomNormal(0, 1) → A86
  87. RandomNormal(0, 1) → A87
  88. RandomNormal(0, 1) → A88
  89. RandomNormal(0, 1) → A89
  90. RandomNormal(0, 1) → A90
  91. RandomNormal(0, 1) → A91
  92. RandomNormal(0, 1) → A92
  93. RandomNormal(0, 1) → A93
  94. RandomNormal(0, 1) → A94
  95. RandomNormal(0, 1) → A95
  96. RandomNormal(0, 1) → A96
  97. RandomNormal(0, 1) → A97
  98. RandomNormal(0, 1) → A98
  99. RandomNormal(0, 1) → A99
  100. RandomNormal(0, 1) → A100
  101. SD(list1) → a
  102. Mean(list1) → b
  103. Sequence(CountIf[b + (t * a) < x < b + ((t + 1) * a), list1], t, -5, 4) → list2
  104. Histogram(Sequence[b + (t * a), t, -5, 5], list1, true, 1) → c
  105. Histogram(Sequence[b + (t * a), t, -5, 5], list1, true, 1) → d
  106. Point(e) → K

AI 绘图提示语参考

请绘制一个正态分布的直方图，展示68-95-99.7规则。图中应包含一个直方图，中心对称，峰值明显。随机生成多个数据点，标记均值和标准差的位置。确保图形清晰，比例适当，适合教学使用。
以上提示语为根据原始绘图命令整理而来，仅供参考。