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Normal Distribution and Table Demo

Normal Distribution and Table Demo
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2020-07-03 15:11
FunctionCalculusProbability & StatisticsGraphing
This example demonstrates the graphical representation of the normal distribution curve and its probability density function. Core math concepts include normal distribution, probability & statistics, and differential calculus involving integrals and derivatives. GeoGebra commands and objects used are Point, Random, Textfield, Intersect, Integral, OrthogonalLine, Segment, LaTeX, Vector. Suitable for high school students and math enthusiasts to learn and understand the properties and calculations of the normal distribution.

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. Textfield(σ) → InputBox1
  7. Textfield(μ) → InputBox2
  8. Intersect(b, k) → U
  9. Intersect(xAxis, b) → V
  10. Integral(f, x(M), x(N)) → o
  11. Intersect(xAxis, k) → F_1
  12. Point(k) → R_1
  13. Point(k) → S_1
  14. OrthogonalLine(K, k) → i
  15. Intersect(i, k) → L
  16. OrthogonalLine(B, k) → m
  17. OrthogonalLine(C, k) → n
  18. OrthogonalLine(E, k) → p
  19. OrthogonalLine(A, k) → q
  20. OrthogonalLine(D, k) → r
  21. OrthogonalLine(FF, k) → s
  22. OrthogonalLine(G, k) → t
  23. OrthogonalLine(H, k) → f_1
  24. OrthogonalLine(J, k) → g_1
  25. Intersect(g_1, k) → O
  26. Intersect(f_1, k) → P
  27. Intersect(t, k) → Q
  28. Intersect(s, k) → R
  29. Intersect(r, k) → S
  30. Intersect(q, k) → T
  31. Intersect(m, k) → W
  32. Intersect(n, k) → Z
  33. Intersect(p, k) → A_1
  34. Intersect(f, t, (-2, 0.05399096651318806)) → B_1
  35. Intersect(f, s, (-1, 0.24197072451914337)) → C_1
  36. Intersect(f, r, (0, 0.3989422804014327)) → D_1
  37. Intersect(f, q, (1, 0.24197072451914337)) → E_1
  38. Intersect(f, m, (2, 0.05399096651318806)) → G_1
  39. Intersect(f, n, (3, 0.004431848411938008)) → H_1
  40. Intersect(f, f_1, (-3, 0.004431848411938008)) → I_1
  41. Segment(C_1, FF) → h_1
  42. Segment(D_1, D) → i_1
  43. Segment(E_1, A) → j_1
  44. Segment(G_1, B) → k_1
  45. Segment(B_1, G) → l_1
  46. Point(k) → J_1
  47. Point(k) → K_1
  48. Segment(J_1, K_1) → m_1
  49. Textfield(v) → InputBox3
  50. Point(f) → L_1
  51. Point(f) → M_1
  52. Segment(L_1, M_1) → n_1
  53. LaTeX(f, true, true) → text48
  54. Intersect(p_1, n_1) → N_1
  55. Intersect(p_1, m_1) → O_1
  56. Vector(N_1, O_1) → u_1
  57. OrthogonalLine(I, m_1) → q_1
  58. Intersect(q_1, m_1) → P_1
  59. Vector(I, P_1) → v_1
  60. Vector(K, L) → w_1
  61. OrthogonalLine(N, m_1) → r_1
  62. OrthogonalLine(M, m_1) → s_1
  63. Intersect(r_1, m_1) → Q_1
  64. Intersect(s_1, m_1) → T_1
  65. Vector(N, Q_1) → a_1
  66. Vector(M, T_1) → b_1
  67. Integral(f, x(K), 4.5, false) → j
  68. Integral(f, -4.5, x(I), false) → e