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Dwellings Simulation: Normal Distribution & Probability Visualization

Dwellings Simulation: Normal Distribution & Probability Visualization
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2016-06-08 06:51
FunctionSequenceProbability & StatisticsGraphing
In collections Statistics Simulations Statistics Simulations
This example demonstrates a dwellings distribution simulation visualizing normal distribution shapes. Core math concepts involve normal distribution, probability statistics, quadratic functions, sine functions, and perimeter calculations. Construction utilizes GeoGebra commands like Sequence for data generation, Join for connecting objects, Shuffle for randomization, If for conditional logic, Sum for aggregation, and DotPlot for scatter plotting. Suitable for high school mathematics statistics and probability lessons or self-study exploration.

GeoGebra Commands & Parameters

  1. Sequence(1, n, 1, 30) → one
  2. Sequence(2, n, 1, 8) → two
  3. Join({one, two, eight}) → list1
  4. Shuffle(list1) → list2
  5. If(B2 + C1 ≤ 10, B2 + C1, C1) → C2
  6. If(B3 + C2 ≤ 10, B3 + C2, C2) → C3
  7. If(B4 + C3 ≤ 10, B4 + C3, C3) → C4
  8. If(B5 + C4 ≤ 10, B5 + C4, C4) → C5
  9. If(B6 + C5 ≤ 10, B6 + C5, C5) → C6
  10. If(B7 + C6 ≤ 10, B7 + C6, C6) → C7
  11. If(B8 + C7 ≤ 10, B8 + C7, C7) → C8
  12. If(B9 + C8 ≤ 10, B9 + C8, C8) → C9
  13. If(B10 + C9 ≤ 10, B10 + C9, C9) → C10
  14. If(B11 + C10 ≤ 10, B11 + C10, C10) → C11
  15. If(B12 + C11 ≤ 10, B12 + C11, C11) → C12
  16. If(B13 + C12 ≤ 10, B13 + C12, C12) → C13
  17. If(B14 + C13 ≤ 10, B14 + C13, C13) → C14
  18. If(B15 + C14 ≤ 10, B15 + C14, C14) → C15
  19. If(B16 + C15 ≤ 10, B16 + C15, C15) → C16
  20. If(B17 + C16 ≤ 10, B17 + C16, C16) → C17
  21. If(B18 + C17 ≤ 10, B18 + C17, C17) → C18
  22. If(B19 + C18 ≤ 10, B19 + C18, C18) → C19
  23. If(B20 + C19 ≤ 10, B20 + C19, C19) → C20
  24. If(C2 ≟ C1, 0, If[C2 ≤ 10, 1, 0]) → D2
  25. If(C3 ≟ C2, 0, If[C3 ≤ 10, 1, 0]) → D3
  26. If(C4 ≟ C3, 0, If[C4 ≤ 10, 1, 0]) → D4
  27. If(C5 ≟ C4, 0, If[C5 ≤ 10, 1, 0]) → D5
  28. If(C6 ≟ C5, 0, If[C6 ≤ 10, 1, 0]) → D6
  29. If(C7 ≟ C6, 0, If[C7 ≤ 10, 1, 0]) → D7
  30. If(C8 ≟ C7, 0, If[C8 ≤ 10, 1, 0]) → D8
  31. If(C9 ≟ C8, 0, If[C9 ≤ 10, 1, 0]) → D9
  32. If(C10 ≟ C9, 0, If[C10 ≤ 10, 1, 0]) → D10
  33. If(C11 ≟ C10, 0, If[C11 ≤ 10, 1, 0]) → D11
  34. If(C12 ≟ C11, 0, If[C12 ≤ 10, 1, 0]) → D12
  35. If(C13 ≟ C12, 0, If[C13 ≤ 10, 1, 0]) → D13
  36. If(C14 ≟ C13, 0, If[C14 ≤ 10, 1, 0]) → D14
  37. If(C15 ≟ C14, 0, If[C15 ≤ 10, 1, 0]) → D15
  38. If(C16 ≟ C15, 0, If[C16 ≤ 10, 1, 0]) → D16
  39. If(C17 ≟ C16, 0, If[C17 ≤ 10, 1, 0]) → D17
  40. If(C18 ≟ C17, 0, If[C18 ≤ 10, 1, 0]) → D18
  41. If(C19 ≟ C18, 0, If[C19 ≤ 10, 1, 0]) → D19
  42. If(C20 ≟ C19, 0, If[C20 ≤ 10, 1, 0]) → D20
  43. If(B21 + C20 ≤ 10, B21 + C20, C20) → C21
  44. If(C21 ≟ C20, 0, If[C21 ≤ 10, 1, 0]) → D21
  45. If(B22 + C21 ≤ 10, B22 + C21, C21) → C22
  46. If(C22 ≟ C21, 0, If[C22 ≤ 10, 1, 0]) → D22
  47. If(B23 + C22 ≤ 10, B23 + C22, C22) → C23
  48. If(C23 ≟ C22, 0, If[C23 ≤ 10, 1, 0]) → D23
  49. If(B24 + C23 ≤ 10, B24 + C23, C23) → C24
  50. If(C24 ≟ C23, 0, If[C24 ≤ 10, 1, 0]) → D24
  51. If(B25 + C24 ≤ 10, B25 + C24, C24) → C25
  52. If(C25 ≟ C24, 0, If[C25 ≤ 10, 1, 0]) → D25
  53. If(B26 + C25 ≤ 10, B26 + C25, C25) → C26
  54. If(C26 ≟ C25, 0, If[C26 ≤ 10, 1, 0]) → D26
  55. If(B27 + C26 ≤ 10, B27 + C26, C26) → C27
  56. If(C27 ≟ C26, 0, If[C27 ≤ 10, 1, 0]) → D27
  57. If(B28 + C27 ≤ 10, B28 + C27, C27) → C28
  58. If(C28 ≟ C27, 0, If[C28 ≤ 10, 1, 0]) → D28
  59. If(B29 + C28 ≤ 10, B29 + C28, C28) → C29
  60. If(C29 ≟ C28, 0, If[C29 ≤ 10, 1, 0]) → D29
  61. If(B30 + C29 ≤ 10, B30 + C29, C29) → C30
  62. If(C30 ≟ C29, 0, If[C30 ≤ 10, 1, 0]) → D30
  63. If(B31 + C30 ≤ 10, B31 + C30, C30) → C31
  64. If(C31 ≟ C30, 0, If[C31 ≤ 10, 1, 0]) → D31
  65. If(B32 + C31 ≤ 10, B32 + C31, C31) → C32
  66. If(C32 ≟ C31, 0, If[C32 ≤ 10, 1, 0]) → D32
  67. If(B33 + C32 ≤ 10, B33 + C32, C32) → C33
  68. If(C33 ≟ C32, 0, If[C33 ≤ 10, 1, 0]) → D33
  69. If(B34 + C33 ≤ 10, B34 + C33, C33) → C34
  70. If(C34 ≟ C33, 0, If[C34 ≤ 10, 1, 0]) → D34
  71. If(B35 + C34 ≤ 10, B35 + C34, C34) → C35
  72. If(C35 ≟ C34, 0, If[C35 ≤ 10, 1, 0]) → D35
  73. If(B36 + C35 ≤ 10, B36 + C35, C35) → C36
  74. If(C36 ≟ C35, 0, If[C36 ≤ 10, 1, 0]) → D36
  75. If(B37 + C36 ≤ 10, B37 + C36, C36) → C37
  76. If(C37 ≟ C36, 0, If[C37 ≤ 10, 1, 0]) → D37
  77. If(B38 + C37 ≤ 10, B38 + C37, C37) → C38
  78. If(C38 ≟ C37, 0, If[C38 ≤ 10, 1, 0]) → D38
  79. If(B39 + C38 ≤ 10, B39 + C38, C38) → C39
  80. If(C39 ≟ C38, 0, If[C39 ≤ 10, 1, 0]) → D39
  81. Sum(D1:D39) → E1
  82. DotPlot(data, false, 0.15) → list3

AI Drawing Prompt Reference

Create a visualization simulating dwelling distributions and showcasing normal distribution shapes. Generate two sets of data using sequences, merge and shuffle them, then apply a series of conditional logic and summation to create a scatter plot representing the distribution of dwellings. The color and size of the points should indicate different probability conditions, forming a pattern that reflects a normal distribution.
The prompt above was compiled from the original drawing commands and is for reference only.