积极 AI Logo 积极 AI

探索均值与标准差

探索均值与标准差
几何画板及绘图内容加载中，请稍等……
2018-04-19 07:43
函数概率统计
本范例通过动态图形展示均值与标准差的概念。它涉及统计学中的核心概念，通过调整数据点的位置来观察均值和标准差的变化。使用了Point, If, RemoveUndefined, Mean, Sum, Vector, Polygon, Circle等命令，适合高中数学教学和学习。

GeoGebra 命令及参数

  1. Point(g) → B
  2. If(x(B) ≥ 0, x(B)) → b
  3. Point(k) → F
  4. If(x(F) ≥ 0, x(F)) → f
  5. Point(j) → E
  6. If(x(E) ≥ 0, x(E)) → e
  7. Point(i) → D
  8. If(x(D) ≥ 0, x(D)) → d
  9. Point(h) → C
  10. If(x(C) ≥ 0, x(C)) → c
  11. Point(l) → A
  12. If(x(A) ≥ 0, x(A)) → a
  13. RemoveUndefined(L_2) → L_1
  14. Mean(L_1) → m
  15. If(A1 - m < 0, 1, 0) → B1
  16. Mean({a, b, c, d, e, f}) → v
  17. If(A1 - m > 0, 1, 0) → C1
  18. If(A2 - m < 0, 1, 0) → B2
  19. If(A3 - m < 0, 1, 0) → B3
  20. If(A4 - m < 0, 1, 0) → B4
  21. If(A5 - m < 0, 1, 0) → B5
  22. If(A6 - m < 0, 1, 0) → B6
  23. If(A2 - m > 0, 1, 0) → C2
  24. If(A3 - m > 0, 1, 0) → C3
  25. If(A4 - m > 0, 1, 0) → C4
  26. If(A5 - m > 0, 1, 0) → C5
  27. If(A6 - m > 0, 1, 0) → C6
  28. Sum(D1:D6) → D7
  29. Sum(E1:E6) → E7
  30. Vector((m, 0), (m - D9, 0)) → D16
  31. Vector((m, 0), (m - D10, 0)) → D17
  32. Vector((m, 0), (m - D11, 0)) → D18
  33. Vector((m, 0), (m - D12, 0)) → D19
  34. Vector((m, 0), (m - D13, 0)) → D20
  35. Vector((m, 0), (m - D14, 0)) → D21
  36. Vector((m, 0), (m + E9, 0)) → E16
  37. Vector((m, 0), (m + E10, 0)) → E17
  38. Vector((m, 0), (m + E11, 0)) → E18
  39. Vector((m, 0), (m + E12, 0)) → E19
  40. Vector((m, 0), (m + E13, 0)) → E20
  41. Vector((m, 0), (m + E14, 0)) → E21
  42. Vector((m, (5 * sc)), (x(E), (5 * sc))) → n
  43. Vector((m, (4 * sc)), (x(D), (4 * sc))) → p
  44. Vector((m, (3 * sc)), (x(C), (3 * sc))) → q
  45. Vector((m, (2 * sc)), (x(B), (2 * sc))) → r
  46. Vector((m, sc), (x(A), sc)) → s
  47. Vector((m, (6 * sc)), (x(F), (6 * sc))) → w
  48. Polygon(C15, C16, (x(C16), (-D1)), (x(C15), (-D1))) → B16, t, f_1, g_1, h_1
  49. Vector((m, 0), (m, (7 * sc))) → u
  50. Polygon(C16, C17, (x(C17), (-D2)), (x(C16), (-D2))) → B17, i_1, j_1, k_1, l_1
  51. Polygon(C17, C18, (x(C18), (-D3)), (x(C17), (-D3))) → B18, m_1, n_1, p_1, q_1
  52. Polygon(C18, C19, (x(C19), (-D4)), (x(C18), (-D4))) → B19, r_1, s_1, t_1, a_1
  53. Polygon(C19, C20, (x(C20), (-D5)), (x(C19), (-D5))) → B20, b_1, c_1, d_1, e_1
  54. Polygon(C20, C21, (x(C21), (-D6)), (x(C20), (-D6))) → B21, f_2, g_2, h_2, i_2
  55. Polygon(F15, F16, (x(F16), (-E1)), (x(F15), (-E1))) → G16, H16_1, I16, J16, K16
  56. Polygon(F16, F17, (x(F17), (-E2)), (x(F16), (-E2))) → G17, H17_1, I17, J17, K17
  57. Polygon(F17, F18, (x(F18), (-E3)), (x(F17), (-E3))) → G18, H18_1, I18, J18, K18
  58. Polygon(F18, F19, (x(F19), (-E4)), (x(F18), (-E4))) → G19, H19_1, I19, J19, K19
  59. Polygon(F19, F20, (x(F20), (-E5)), (x(F19), (-E5))) → G20, H20_1, I20, J20, K20
  60. Polygon(F20, F21, (x(F21), (-E6)), (x(F20), (-E6))) → G21, H21_1, I21, J21, K21
  61. Circle((m, 0), D7) → c_2