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Statistics Game: Mean, Median, and Variance

Statistics Game: Mean, Median, and Variance
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2014-02-05 05:44
Probability & Statistics
This example uses 60 different sliders to demonstrate how to find the mean, median, or mode of a set of data. It covers core statistical concepts such as mean, median, and mode. Using GeoGebra commands like Point, Segment, Mean, Median, Max, Min, and Mode, it provides a visual understanding of how these statistics are calculated. Suitable for middle school and above students or teachers to help students better understand basic statistical concepts.

GeoGebra Commands & Parameters

  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 Drawing Prompt Reference

Create six points on the horizontal axis and connect each point to a corresponding vertical line segment to display the mean, median, maximum, and minimum values of a dataset. Use different colors and line styles to distinguish between the mean, median, maximum, and minimum values, and label how changes in dataset size affect these statistics.
The prompt above was compiled from the original drawing commands and is for reference only.