Average, Variance, Standard Deviation, and Normal Distribution

Average, Variance, Standard Deviation, and Normal Distribution
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2019-10-28 04:41
This example demonstrates the calculation of average, variance, and standard deviation, and shows the normal distribution. Key mathematical concepts include average, variance, standard deviation, and normal distribution. Using GeoGebra commands such as OrthogonalLine, Point, Intersect, etc., it provides a clear understanding of these concepts. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, xAxis) → a
  2. OrthogonalLine(B, xAxis) → b
  3. OrthogonalLine(C, xAxis) → c
  4. OrthogonalLine(E, xAxis) → d
  5. OrthogonalLine(F, xAxis) → e
  6. OrthogonalLine(D, xAxis) → f
  7. Point(xAxis) → G
  8. OrthogonalLine(G, xAxis) → g
  9. OrthogonalLine(A, g) → h
  10. Intersect(g, h) → H
  11. Distance(A, H) → distanceAH
  12. OrthogonalLine(C, g) → m
  13. OrthogonalLine(E, g) → n
  14. Distance(C, g) → distanceCg
  15. Intersect(g, m) → K
  16. Polygon(K, C, 4) → poly2, p, q, r, s, L, M
  17. Intersect(n, g) → N
  18. Polygon(N, E, 4) → poly3, t, a_1, b_1, c_1, O, P
  19. Polygon(H, A, 4) → poly1, i, j, k, l, I, J
  20. OrthogonalLine(F, g) → d_1
  21. Intersect(g, d_1) → Q
  22. Polygon(Q, F, 4) → poly4, e_1, f_1, g_1, h_1, R, S
  23. OrthogonalLine(D, g) → i_1
  24. Intersect(g, i_1) → T
  25. Polygon(T, D, 4) → poly5, j_1, k_1, l_1, m_1, U, V
  26. OrthogonalLine(B, g) → n_1
  27. Intersect(g, n_1) → W
  28. Polygon(W, B, 4) → poly6, p_1, q_1, r_1, s_1, Z, A_1
  29. LaTeX(xav, true, true) → text1
  30. LaTeX(ssq, true, true) → text2
  31. Intersect(a, xAxis) → D_1
  32. Intersect(e, xAxis) → E_1
  33. Intersect(f, xAxis) → F_1
  34. Intersect(b, xAxis) → G_1
  35. Intersect(d, xAxis) → H_1
  36. Intersect(c, xAxis) → I_1
  37. OrthogonalLine(B_1, xAxis) → t_1
  38. LaTeX(var, true, true) → text4
  39. LaTeX(sd, true, true) → text5