统计游戏:中位数、方差和均值

统计游戏:中位数、方差和均值
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2014-02-05 05:44
本范例通过60个不同的滑块,演示如何找到一组数据的均值、中位数或众数。它涉及统计学中的核心概念,如均值、中位数和众数。通过使用GeoGebra命令如Point、Segment、Mean、Median、Max、Min、Mode等,可以直观地理解这些统计量的计算方法。适合初中及以上学生或教师使用,帮助学生更好地理解统计学的基本概念。

GeoGebra 命令及参数

  1. Point(xAxis) → B
  2. Point(xAxis) → C
  3. Point(xAxis) → D
  4. Point(xAxis) → E
  5. Point(xAxis) → F
  6. Segment(A, G) → h
  7. Segment(B, H) → i
  8. Segment(C, I) → j
  9. Segment(D, J) → k
  10. Segment(E, K) → l
  11. Segment(F, L) → p
  12. Mean({a, b}) → o
  13. Segment(M, N) → q
  14. Mean({a, b, c}) → g_3
  15. Segment(O, P) → r
  16. Mean({a, b, c, d}) → g_4
  17. Segment(Q, R) → s
  18. Mean({a, b, c, d, e}) → g_5
  19. Segment(S, T) → t
  20. Mean({a, b, c, d, e, f}) → g_6
  21. Segment(U, V) → a_1
  22. Median({a, b}) → m_2
  23. Median({a, b, c}) → m_3
  24. Median({a, b, c, d}) → m_4
  25. Median({a, b, c, d, e}) → m_5
  26. Median({a, b, c, d, e, f}) → m_6
  27. Segment(W, Z) → b_1
  28. Segment(A_1, B_1) → c_1
  29. Segment(C_1, D_1) → d_1
  30. Segment(E_1, F_1) → e_1
  31. Segment(G_1, H_1) → f_1
  32. Max(a, b) → max_2
  33. Min(a, b) → min_2
  34. Segment(J_1, I_1) → g_1
  35. Max({a, b, c}) → max_3
  36. Max({a, b, c, d}) → max
  37. Max({a, b, c, d, e}) → max_5
  38. Max({a, b, c, d, e, f}) → max_6
  39. Min({a, b, c}) → min_3
  40. Min({a, b, c, d}) → min_4
  41. Min({a, b, c, d, e}) → min_5
  42. Min({a, b, c, d, e, f}) → min_6
  43. Segment(L_1, K_1) → h_1
  44. Max({a, b, c, d}) → max_4
  45. Segment(M_1, N_1) → i_1
  46. Segment(O_1, P_1) → j_1
  47. Segment(Q_1, R_1) → k_1
  48. Mode(Liste5) → Typetall5
  49. Max(Typetall5) → Maks5
  50. Min(Typetall5) → Min5
  51. Segment(T_1, U_1) → l_1
  52. Segment(S_1, V_1) → m_1
  53. Mode(Liste6) → Typetall6
  54. Max(Typetall6) → Maks6
  55. Min(Typetall6) → Min6
  56. Segment(W_1, A_2) → n_1
  57. Segment(B_2, Z_1) → p_1
  58. Mode(Liste4) → Typetall4
  59. Max(Typetall4) → Maks4
  60. Min(Typetall4) → Min4
  61. Segment(D_2, E_2) → q_1
  62. Segment(F_2, C_2) → r_1
  63. Mode(Liste3) → Typetall3
  64. Max(Typetall3) → Maks3
  65. Segment(G_2, H_2) → s_1
  66. Element(Typetall6, 2) → Midt6
  67. Segment(I_2, J_2) → t_1
  68. Segment(L_2, M_2) → a_2
  69. OrthogonalLine(G, a_2) → b_2
  70. Intersect(b_2, a_2) → O_2
  71. OrthogonalLine(H, a_2) → c_2
  72. OrthogonalLine(I, a_2) → d_2
  73. OrthogonalLine(J, a_2) → e_2
  74. Intersect(c_2, a_2) → P_2
  75. Intersect(a_2, e_2) → R_2
  76. Intersect(a_2, d_2) → Q_2
  77. Segment(G, O_2) → i_2
  78. Segment(H, P_2) → j_2
  79. Segment(I, Q_2) → k_2
  80. Segment(J, R_2) → l_2
  81. OrthogonalLine(K, a_2) → n_2
  82. OrthogonalLine(L, a_2) → q_2
  83. Intersect(n_2, a_2) → S_2
  84. Intersect(q_2, a_2) → T_2
  85. Segment(K, S_2) → r_2
  86. Segment(L, T_2) → s_2
  87. Segment(K, S_2) → t_2
  88. Segment(L, T_2) → a_3
  89. Segment(U_2, V_2) → b_3
  90. Point(c_3) → W_2
  91. Segment(W_2, Z_2) → d_3
  92. Ray(A_3, B_3) → f_2
  93. Ray(C_3, D_3) → g_2
  94. Ray(E_3, F_3) → e_3
  95. Ray(G_3, H_3) → f_3
  96. Point(e_3) → I_3
  97. Ray(L_3, M_3) → h_3
  98. Ray(J_3, K_3) → i_3
  99. Point(h_3) → N_3

AI 绘图提示语参考

在横轴上创建六个点,分别连接这些点到对应的垂直线段,展示数据集的均值、中位数、最大值和最小值。用不同颜色和线条样式区分均值、中位数、最大值和最小值,并标注数据集的大小变化对统计量的影响。
以上提示语为根据原始绘图命令整理而来,仅供参考。