MathPlotAI Logo MathPlotAI

Repeated Sampling with Sample Sizes 3 to 15

Repeated Sampling with Sample Sizes 3 to 15
Loading the math board and drawing, please wait…
2017-07-27 22:59
Probability & StatisticsMatrixGraphing
In collections Math Year 4 Unit Probability & Statistics
This example demonstrates repeated sampling with sample sizes ranging from 3 to 15. It involves key concepts in probability and statistics, such as random sampling and sample means. Using GeoGebra commands like Random, If, and Sum, a series of sample data is constructed, and the trend of sample means is observed. Suitable for high school or university statistics courses.

GeoGebra Commands & Parameters

  1. Random(1, 150) → A2
  2. Random(1, 150) → A3
  3. Random(1, 150) → A4
  4. Random(1, 150) → A5
  5. Random(1, 150) → A6
  6. Random(1, 150) → A7
  7. Random(1, 150) → A8
  8. Random(1, 150) → A9
  9. Random(1, 150) → A10
  10. Random(1, 150) → A11
  11. Random(1, 150) → A12
  12. Random(1, 150) → A13
  13. Random(1, 150) → A14
  14. Random(1, 150) → A15
  15. Random(1, 150) → a
  16. Random(1, 150) → b
  17. Random(1, 150) → c
  18. Random(1, 150) → d
  19. Random(1, 150) → e
  20. Random(1, 150) → f
  21. Random(1, 150) → g
  22. Random(1, 150) → h
  23. Random(1, 150) → i
  24. Random(1, 150) → j
  25. Random(1, 150) → k
  26. Random(1, 150) → l
  27. Random(1, 150) → m
  28. Random(1, 150) → n
  29. Random(1, 150) → o
  30. Random(1, 150) → p
  31. Random(1, 150) → q
  32. Random(1, 150) → r
  33. Random(1, 150) → s
  34. Random(1, 150) → t
  35. Random(1, 150) → u
  36. Random(1, 150) → v
  37. Random(1, 150) → w
  38. Random(1, 150) → a_1
  39. Random(1, 150) → b_1
  40. Random(1, 150) → c_1
  41. Random(1, 150) → c_1
  42. Random(1, 150) → c_1
  43. Random(1, 150) → c_1
  44. Random(1, 150) → c_1
  45. Random(1, 150) → c_1
  46. Random(1, 150) → c_1
  47. Random(1, 150) → c_1
  48. Random(1, 150) → c_1
  49. Random(1, 150) → c_1
  50. Random(1, 150) → c_1
  51. Random(1, 150) → c_1
  52. Random(1, 150) → c_1
  53. Random(1, 150) → c_1
  54. Random(1, 150) → c_1
  55. Random(1, 150) → c_1
  56. Random(1, 150) → c_1
  57. Random(1, 150) → c_1
  58. Random(1, 150) → c_1
  59. Random(1, 150) → c_1
  60. Random(1, 150) → c_1
  61. Random(1, 150) → c_1
  62. Random(1, 150) → c_1
  63. Random(1, 150) → c_1
  64. Random(1, 150) → c_1
  65. Random(1, 150) → c_1
  66. Random(1, 150) → c_1
  67. Random(1, 150) → c_1
  68. Random(1, 150) → c_1
  69. Random(1, 150) → c_1
  70. Random(1, 150) → c_1
  71. Random(1, 150) → c_1
  72. Random(1, 150) → c_1
  73. Random(1, 150) → c_1
  74. Random(1, 150) → c_1
  75. Random(1, 150) → c_1
  76. Random(1, 150) → c_1
  77. Random(1, 150) → c_1
  78. Random(1, 150) → c_1
  79. Random(1, 150) → c_1
  80. Random(1, 150) → c_1
  81. Random(1, 150) → c_1
  82. Random(1, 150) → c_1
  83. Random(1, 150) → c_1
  84. Random(1, 150) → c_1
  85. Random(1, 150) → c_1
  86. Random(1, 150) → c_1
  87. Random(1, 150) → c_1
  88. Random(1, 150) → c_1
  89. Random(1, 150) → c_1
  90. Random(1, 150) → c_1
  91. Random(1, 150) → c_1
  92. Random(1, 150) → c_1
  93. Random(1, 150) → c_1
  94. Random(1, 150) → A1
  95. If(A1 < 91, 1, 0) → B1
  96. If(A2 < 91, 1, 0) → B2
  97. If(A3 < 91, 1, 0) → B3
  98. If(A4 < 91, 1, 0) → B4
  99. If(A5 < 91, 1, 0) → B5
  100. If(A6 < 91, 1, 0) → B6
  101. If(A7 < 91, 1, 0) → B7
  102. If(A8 < 91, 1, 0) → B8
  103. If(A9 < 91, 1, 0) → B9
  104. If(A10 < 91, 1, 0) → B10
  105. If(A11 < 91, 1, 0) → B11
  106. If(A12 < 91, 1, 0) → B12
  107. If(A13 < 91, 1, 0) → B13
  108. If(A14 < 91, 1, 0) → B14
  109. If(A15 < 91, 1, 0) → B15
  110. Random(1, 150) → RandomBetween[1, 150]
  111. Sum(B1:B15) → B17
  112. Sum(B1:B3) → D3
  113. Sum(B1:B4) → D4
  114. Sum(B1:B5) → D5
  115. Sum(B1:B6) → D6
  116. Sum(B1:B7) → D7
  117. Sum(B1:B8) → D8
  118. Sum(B1:B9) → D9
  119. Sum(B1:B10) → D10
  120. Sum(B1:B11) → D11
  121. Sum(B1:B12) → D12
  122. Sum(B1:B13) → D13
  123. Sum(B1:B14) → D14
  124. Sum(B1:B15) → D15