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Normal Distribution Demo by JOSE GONZALEZ

Normal Distribution Demo by JOSE GONZALEZ
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2020-05-13 19:14
FunctionIntegralProbability & StatisticsGeometric ConstructionGraphing
This example demonstrates the properties and graph of the normal distribution, involving core math concepts like normal distribution function, integral, ellipse, and piecewise functions. It is constructed using GeoGebra commands such as Point, Random, Integral, Textfield, Intersect, OrthogonalLine, Segment, LaTeX, CountIf, and Vector, making it suitable for high school students and math enthusiasts learning probability & statistics.

GeoGebra Commands & Parameters

  1. Point(xAxis) → K
  2. Random(5, 20) → ii
  3. Point(xAxis) → N
  4. Point(xAxis) → M
  5. Point(xAxis) → I
  6. Integral(f, x(K), Infinity, false) → j
  7. Textfield(σ) → InputBox1
  8. Textfield(μ) → InputBox2
  9. Integral(f, -Infinity, x(I), false) → e
  10. Intersect(b, k) → U
  11. Intersect(xAxis, b) → V
  12. Integral(f, x(M), x(N)) → o
  13. Intersect(xAxis, k) → F_1
  14. Point(k) → R_1
  15. Point(k) → S_1
  16. OrthogonalLine(K, k) → i
  17. Intersect(i, k) → L
  18. OrthogonalLine(B, k) → m
  19. OrthogonalLine(C, k) → n
  20. OrthogonalLine(E, k) → p
  21. OrthogonalLine(A, k) → q
  22. OrthogonalLine(D, k) → r
  23. OrthogonalLine(FF, k) → s
  24. OrthogonalLine(G, k) → t
  25. OrthogonalLine(H, k) → f_1
  26. OrthogonalLine(J, k) → g_1
  27. Intersect(g_1, k) → O
  28. Intersect(f_1, k) → P
  29. Intersect(t, k) → Q
  30. Intersect(s, k) → R
  31. Intersect(r, k) → S
  32. Intersect(q, k) → T
  33. Intersect(m, k) → W
  34. Intersect(n, k) → Z
  35. Intersect(p, k) → A_1
  36. Intersect(f, t, (-2, 0.05399096651318806)) → B_1
  37. Intersect(f, s, (-1, 0.24197072451914337)) → C_1
  38. Intersect(f, r, (0, 0.3989422804014327)) → D_1
  39. Intersect(f, q, (1, 0.24197072451914337)) → E_1
  40. Intersect(f, m, (2, 0.05399096651318806)) → G_1
  41. Intersect(f, n, (3, 0.004431848411938008)) → H_1
  42. Intersect(f, f_1, (-3, 0.004431848411938008)) → I_1
  43. Segment(C_1, FF) → h_1
  44. Segment(D_1, D) → i_1
  45. Segment(E_1, A) → j_1
  46. Segment(G_1, B) → k_1
  47. Segment(B_1, G) → l_1
  48. Point(k) → J_1
  49. Point(k) → K_1
  50. Segment(J_1, K_1) → m_1
  51. Textfield(v) → InputBox3
  52. Point(f) → L_1
  53. Point(f) → M_1
  54. Segment(L_1, M_1) → n_1
  55. LaTeX(f, true, true) → text48
  56. CountIf(μ - σ < x < μ + σ, list1) → AAA
  57. LaTeX(AAA, true, true) → text41
  58. CountIf(μ - (2 * σ) ≤ x ≤ μ + (2 * σ), list1) → BBB
  59. CountIf(μ - (3 * σ) ≤ x ≤ μ + (3 * σ), list1) → CCC
  60. LaTeX(BBB, true, true) → text42
  61. LaTeX(CCC, true, true) → text44
  62. Intersect(p_1, n_1) → N_1
  63. Intersect(p_1, m_1) → O_1
  64. Vector(N_1, O_1) → u_1
  65. OrthogonalLine(I, m_1) → q_1
  66. Intersect(q_1, m_1) → P_1
  67. Vector(I, P_1) → v_1
  68. Vector(K, L) → w_1
  69. OrthogonalLine(N, m_1) → r_1
  70. OrthogonalLine(M, m_1) → s_1
  71. Intersect(r_1, m_1) → Q_1
  72. Intersect(s_1, m_1) → T_1
  73. Vector(N, Q_1) → a_1
  74. Vector(M, T_1) → b_1