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Histograms, Mean and Standard Deviation

Histograms, Mean and Standard Deviation
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2014-02-25 19:21
Probability & StatisticsGraphing
This example demonstrates how to use GeoGebra to create histograms and calculate display the mean and standard deviation of data. Core math concepts include histograms, probability & statistics, mean, and standard deviation. Key GeoGebra commands/objects used in construction are Function, Point, SD, Mean, Segment, If, Div, Histogram, Vector, and Polygon. Suitable for high school mathematics teaching, helping students understand data distribution characteristics and statistical calculations.

GeoGebra Commands & Parameters

  1. Function(-0.5, 0, 100) → f
  2. Point(f) → A50
  3. Point(f) → A49
  4. Point(f) → A48
  5. Point(f) → A47
  6. Point(f) → A46
  7. Point(f) → A45
  8. Point(f) → A44
  9. Point(f) → A43
  10. Point(f) → A42
  11. Point(f) → A41
  12. Point(f) → A40
  13. Point(f) → A39
  14. Point(f) → A38
  15. Point(f) → A37
  16. Point(f) → A36
  17. Point(f) → A35
  18. Point(f) → A34
  19. Point(f) → A33
  20. Point(f) → A32
  21. Point(f) → A31
  22. Point(f) → A30
  23. Point(f) → A29
  24. Point(f) → A28
  25. Point(f) → A27
  26. Point(f) → A26
  27. Point(f) → A25
  28. Point(f) → A24
  29. Point(f) → A23
  30. Point(f) → A22
  31. Point(f) → A21
  32. Point(f) → A20
  33. Point(f) → A19
  34. Point(f) → A18
  35. Point(f) → A17
  36. Point(f) → A16
  37. Point(f) → A15
  38. Point(f) → A14
  39. Point(f) → A13
  40. Point(f) → A12
  41. Point(f) → A11
  42. Point(f) → A10
  43. Point(f) → A9
  44. Point(f) → A8
  45. Point(f) → A7
  46. Point(f) → A6
  47. Point(f) → A5
  48. Point(f) → A4
  49. Point(f) → A3
  50. Point(f) → A2
  51. Point(f) → A1
  52. SD(L_1) → sd
  53. Mean(L_1) → mean
  54. Segment((r, -2), (r, 0)) → c
  55. If((B1 < r) ∨ (B1 > p), 1, 0) → C1
  56. If((B2 < r) ∨ (B2 > p), 1, 0) → C2
  57. If((B3 < r) ∨ (B3 > p), 1, 0) → C3
  58. If((B4 < r) ∨ (B4 > p), 1, 0) → C4
  59. If((B5 < r) ∨ (B5 > p), 1, 0) → C5
  60. If((B6 < r) ∨ (B6 > p), 1, 0) → C6
  61. If((B7 < r) ∨ (B7 > p), 1, 0) → C7
  62. If((B8 < r) ∨ (B8 > p), 1, 0) → C8
  63. If((B9 < r) ∨ (B9 > p), 1, 0) → C9
  64. If((B10 < r) ∨ (B10 > p), 1, 0) → C10
  65. If((B11 < r) ∨ (B11 > p), 1, 0) → C11
  66. If((B12 < r) ∨ (B12 > p), 1, 0) → C12
  67. If((B13 < r) ∨ (B13 > p), 1, 0) → C13
  68. If((B14 < r) ∨ (B14 > p), 1, 0) → C14
  69. If((B15 < r) ∨ (B15 > p), 1, 0) → C15
  70. If((B16 < r) ∨ (B16 > p), 1, 0) → C16
  71. If((B17 < r) ∨ (B17 > p), 1, 0) → C17
  72. If((B18 < r) ∨ (B18 > p), 1, 0) → C18
  73. If((B19 < r) ∨ (B19 > p), 1, 0) → C19
  74. If((B20 < r) ∨ (B20 > p), 1, 0) → C20
  75. If((B21 < r) ∨ (B21 > p), 1, 0) → C21
  76. If((B22 < r) ∨ (B22 > p), 1, 0) → C22
  77. If((B23 < r) ∨ (B23 > p), 1, 0) → C23
  78. If((B24 < r) ∨ (B24 > p), 1, 0) → C24
  79. If((B25 < r) ∨ (B25 > p), 1, 0) → C25
  80. If((B26 < r) ∨ (B26 > p), 1, 0) → C26
  81. If((B27 < r) ∨ (B27 > p), 1, 0) → C27
  82. If((B28 < r) ∨ (B28 > p), 1, 0) → C28
  83. If((B29 < r) ∨ (B29 > p), 1, 0) → C29
  84. If((B30 < r) ∨ (B30 > p), 1, 0) → C30
  85. If((B31 < r) ∨ (B31 > p), 1, 0) → C31
  86. If((B32 < r) ∨ (B32 > p), 1, 0) → C32
  87. If((B33 < r) ∨ (B33 > p), 1, 0) → C33
  88. If((B34 < r) ∨ (B34 > p), 1, 0) → C34
  89. If((B35 < r) ∨ (B35 > p), 1, 0) → C35
  90. If((B36 < r) ∨ (B36 > p), 1, 0) → C36
  91. If((B37 < r) ∨ (B37 > p), 1, 0) → C37
  92. If((B38 < r) ∨ (B38 > p), 1, 0) → C38
  93. If((B39 < r) ∨ (B39 > p), 1, 0) → C39
  94. If((B40 < r) ∨ (B40 > p), 1, 0) → C40
  95. If((B41 < r) ∨ (B41 > p), 1, 0) → C41
  96. If((B42 < r) ∨ (B42 > p), 1, 0) → C42
  97. If((B43 < r) ∨ (B43 > p), 1, 0) → C43
  98. If((B44 < r) ∨ (B44 > p), 1, 0) → C44
  99. If((B45 < r) ∨ (B45 > p), 1, 0) → C45
  100. If((B46 < r) ∨ (B46 > p), 1, 0) → C46
  101. If((B47 < r) ∨ (B47 > p), 1, 0) → C47
  102. If((B48 < r) ∨ (B48 > p), 1, 0) → C48
  103. If((B49 < r) ∨ (B49 > p), 1, 0) → C49
  104. If((B50 < r) ∨ (B50 > p), 1, 0) → C50
  105. Segment((p, -2), (p, 0)) → b
  106. Div(Min[L_1], 1) → d
  107. Point(xAxis) → A
  108. Point(xAxis) → B
  109. Point(xAxis) → C
  110. Point(xAxis) → D
  111. Point(xAxis) → E
  112. Point(xAxis) → F
  113. Point(xAxis) → G
  114. Point(xAxis) → H
  115. Point(xAxis) → I
  116. Histogram({0, x(A), x(B), x(C), x(D), x(E), x(F), x(G), x(H), x(I), 100}, L_1) → a
  117. Vector((mean, -0.2), (mean, 0)) → u
  118. Polygon(J, K, L, M) → poly1, j, k, l, m

AI Drawing Prompt Reference

Draw a function graph from 0 to 100, then place 50 points on the graph to create a histogram showing the data distribution. Calculate and display the mean and standard deviation of the data.
The prompt above was compiled from the original drawing commands and is for reference only.