Mean Median Mode Game

Mean Median Mode Game
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2015-03-25 23:19
In collections Mean, Median, Mode
This example demonstrates the calculation and visualization of mean, median, and mode through an interactive game. It involves core mathematical concepts like data distribution, frequency distribution, and statistical calculations. Construction highlights include using GeoGebra commands/objects such as Random, Sum, StemPlot, DotPlot, BoxPlot, Q3, Q1, Min, Max, Mode, Median, Ordinal, TableText, Circle, Rotate, Angle, CircleSector, Element, Textfield, and LaTeX for data generation, analysis, and graphical display. Suitable for middle school and above students for probability & statistics teaching and self-learning.

GeoGebra Commands & Parameters

  1. Random(1, 5) → B2
  2. Random(1, 5) → B3
  3. Random(1, 5) → B4
  4. Random(1, 5) → B5
  5. Sum(B2:B5) → B6
  6. Random(26, 29) → A11
  7. Random(26, 29) → A12
  8. Random(26, 29) → A13
  9. Random(26, 29) → A14
  10. Random(26, 29) → A15
  11. Random(26, 32) → A16
  12. Random(26, 33) → A17
  13. Random(29, 35) → B11
  14. Random(30, 35) → B13
  15. Random(30, 35) → B14
  16. Random(30, 35) → B16
  17. Random(30, 35) → B18
  18. Random(28, 35) → A18
  19. Random(29, 35) → B12
  20. Random(28, 35) → B15
  21. Random(28, 35) → B17
  22. Random(35, 42) → C11
  23. Random(35, 42) → C12
  24. Random(35, 42) → C13
  25. Random(35, 42) → C14
  26. Random(35, 42) → C15
  27. Random(35, 42) → C17
  28. Random(35, 42) → C18
  29. Random(37, 43) → D11
  30. Random(33, 43) → D12
  31. Random(37, 44) → D13
  32. Random(40, 44) → D14
  33. Random(40, 44) → D15
  34. Random(40, 44) → D16
  35. Random(40, 44) → D17
  36. Random(40, 43) → D18
  37. Random(35, 42) → C16
  38. StemPlot({A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}) → text11
  39. DotPlot({A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}) → list4
  40. BoxPlot(1, 1, {A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}, true) → b
  41. Q3({A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}) → i
  42. Q1({A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}) → h
  43. Min({A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}) → B19
  44. Max({A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}) → A19
  45. Mode({A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}) → D10
  46. Median({A11, A12, A13, A14, A15, A16, A17, A18, B11, B12, B13, B14, B15, B16, B17, B18, C11, C12, C13, C14, C15, C16, C17, C18, D11, D12, D13, D14, D15, D16, D17, D18}) → C10
  47. Mode(B2:B5) → A9
  48. Min(B2:B5) → A7
  49. Max(B2:B5) → A6
  50. Median({B2, B3, B4, B5}) → B8
  51. Ordinal(Median[A2:A5, B2:B5]) → B9
  52. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}}, "c_|") → text8
  53. Circle(A, B) → c
  54. Rotate(B, D2, A) → B'
  55. Angle(B, A, B') → α
  56. Rotate(B', D3, A) → B''
  57. Angle(B', A, B'') → β
  58. Rotate(B'', D4, A) → B'''
  59. Angle(B'', A, B''') → γ
  60. CircleSector(A, B', B'') → d
  61. CircleSector(A, B, B') → e
  62. CircleSector(A, B''', B) → f
  63. CircleSector(A, B'', B''') → g
  64. TableText({{A1, A2, A3, A4, A5}, {B1, B2, B3, B4, B5}}, "c_|") → text10
  65. Element(list3, a) → j
  66. Textfield(text33) → inputBox2
  67. LaTeX(right, true, true) → text36
  68. LaTeX(wrong, true, true) → text37
  69. Textfield(Name) → inputBox1
  70. Textfield(Date) → inputBox3
  71. Element(list6, m) → text43

AI Drawing Prompt Reference

Create a statistical visualization with multiple datasets, showing histograms, stem-and-leaf plots, and box plots. Calculate and label the mean, median, mode, minimum, maximum, and quartiles for each dataset. Use different colors to distinguish datasets and clearly label each statistic with text. Start by plotting the data distributions, then add statistical value annotations.
The prompt above was compiled from the original drawing commands and is for reference only.