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Binomial 200 Random Samples to Normal Distribution

Binomial 200 Random Samples to Normal Distribution
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2017-11-24 03:02
FunctionProbability & StatisticsGraphing
In collections Rate & Accumulation Yr 4 Much&Fast
This example demonstrates the phenomenon of approximating a normal distribution with 200 random samples from a binomial distribution. Key math concepts involved include binomial distribution, normal distribution, sample mean, sample standard deviation, and integral. The construction leverages GeoGebra commands/objects like Mean, SampleSD, Normal, Integral, Textfield, LaTeX, RandomBinomial, Text, RandxBar, RandSD, f, xbar, stdev, xh, zUp, a, c_1, xl, zDwn, b, c, text1, pic1, inputBox1, inputBox2, inputBox3, inputBox4, text2, one, two, text4, three, text5, none, text6, ntwo, text7, nthree, text8, text9, Prob, NumTrial, A1, A2, A3, A4, A5, A6. It is suitable for high school and above students studying probability & statistics and mathematical statistics, useful for teaching demonstrations and concept understanding.

GeoGebra Commands & Parameters

  1. Mean(A1:A200) → RandxBar
  2. SampleSD(A1:A200) → RandSD
  3. Normal(0, 1, x) → f
  4. Integral(f, zUp, 6) → a
  5. Integral(f, -6, zDwn) → b
  6. Integral(f, zDwn, zUp) → c
  7. Textfield(xbar) → inputBox1
  8. Textfield(stdev) → inputBox2
  9. Textfield(xl) → inputBox3
  10. Textfield(xh) → inputBox4
  11. LaTeX(xbar) → text2
  12. LaTeX(two) → text4
  13. LaTeX(three) → text5
  14. LaTeX(none) → text6
  15. LaTeX(ntwo) → text7
  16. LaTeX(nthree) → text8
  17. LaTeX(one) → text9
  18. RandomBinomial(NumTrial, Prob) → A1
  19. RandomBinomial(NumTrial, Prob) → A2
  20. RandomBinomial(NumTrial, Prob) → A3
  21. RandomBinomial(NumTrial, Prob) → A4
  22. RandomBinomial(NumTrial, Prob) → A5
  23. RandomBinomial(NumTrial, Prob) → A6
  24. RandomBinomial(NumTrial, Prob) → A7
  25. RandomBinomial(NumTrial, Prob) → A8
  26. RandomBinomial(NumTrial, Prob) → A9
  27. RandomBinomial(NumTrial, Prob) → A10
  28. RandomBinomial(NumTrial, Prob) → A11
  29. RandomBinomial(NumTrial, Prob) → A12
  30. RandomBinomial(NumTrial, Prob) → A13
  31. RandomBinomial(NumTrial, Prob) → A14
  32. RandomBinomial(NumTrial, Prob) → A15
  33. RandomBinomial(NumTrial, Prob) → A16
  34. RandomBinomial(NumTrial, Prob) → A17
  35. RandomBinomial(NumTrial, Prob) → A18
  36. RandomBinomial(NumTrial, Prob) → A19
  37. RandomBinomial(NumTrial, Prob) → A20
  38. RandomBinomial(NumTrial, Prob) → A21
  39. RandomBinomial(NumTrial, Prob) → A22
  40. RandomBinomial(NumTrial, Prob) → A23
  41. RandomBinomial(NumTrial, Prob) → A24
  42. RandomBinomial(NumTrial, Prob) → A25
  43. RandomBinomial(NumTrial, Prob) → A26
  44. RandomBinomial(NumTrial, Prob) → A27
  45. RandomBinomial(NumTrial, Prob) → A28
  46. RandomBinomial(NumTrial, Prob) → A29
  47. RandomBinomial(NumTrial, Prob) → A30
  48. RandomBinomial(NumTrial, Prob) → A31
  49. RandomBinomial(NumTrial, Prob) → A32
  50. RandomBinomial(NumTrial, Prob) → A33
  51. RandomBinomial(NumTrial, Prob) → A34
  52. RandomBinomial(NumTrial, Prob) → A35
  53. RandomBinomial(NumTrial, Prob) → A36
  54. RandomBinomial(NumTrial, Prob) → A37
  55. RandomBinomial(NumTrial, Prob) → A38
  56. RandomBinomial(NumTrial, Prob) → A39
  57. RandomBinomial(NumTrial, Prob) → A40
  58. RandomBinomial(NumTrial, Prob) → A41
  59. RandomBinomial(NumTrial, Prob) → A42
  60. RandomBinomial(NumTrial, Prob) → A43
  61. RandomBinomial(NumTrial, Prob) → A44
  62. RandomBinomial(NumTrial, Prob) → A45
  63. RandomBinomial(NumTrial, Prob) → A46
  64. RandomBinomial(NumTrial, Prob) → A47
  65. RandomBinomial(NumTrial, Prob) → A48
  66. RandomBinomial(NumTrial, Prob) → A49
  67. RandomBinomial(NumTrial, Prob) → A50
  68. RandomBinomial(NumTrial, Prob) → A51
  69. RandomBinomial(NumTrial, Prob) → A52
  70. RandomBinomial(NumTrial, Prob) → A53
  71. RandomBinomial(NumTrial, Prob) → A54
  72. RandomBinomial(NumTrial, Prob) → A55
  73. RandomBinomial(NumTrial, Prob) → A56
  74. RandomBinomial(NumTrial, Prob) → A57
  75. RandomBinomial(NumTrial, Prob) → A58
  76. RandomBinomial(NumTrial, Prob) → A59
  77. RandomBinomial(NumTrial, Prob) → A60
  78. RandomBinomial(NumTrial, Prob) → A61
  79. RandomBinomial(NumTrial, Prob) → A62
  80. RandomBinomial(NumTrial, Prob) → A63
  81. RandomBinomial(NumTrial, Prob) → A64
  82. RandomBinomial(NumTrial, Prob) → A65
  83. RandomBinomial(NumTrial, Prob) → A66
  84. RandomBinomial(NumTrial, Prob) → A67
  85. RandomBinomial(NumTrial, Prob) → A68
  86. RandomBinomial(NumTrial, Prob) → A69
  87. RandomBinomial(NumTrial, Prob) → A70
  88. RandomBinomial(NumTrial, Prob) → A71
  89. RandomBinomial(NumTrial, Prob) → A72
  90. RandomBinomial(NumTrial, Prob) → A73
  91. RandomBinomial(NumTrial, Prob) → A74
  92. RandomBinomial(NumTrial, Prob) → A75
  93. RandomBinomial(NumTrial, Prob) → A76
  94. RandomBinomial(NumTrial, Prob) → A77
  95. RandomBinomial(NumTrial, Prob) → A78
  96. RandomBinomial(NumTrial, Prob) → A79
  97. RandomBinomial(NumTrial, Prob) → A80
  98. RandomBinomial(NumTrial, Prob) → A81
  99. RandomBinomial(NumTrial, Prob) → A82
  100. RandomBinomial(NumTrial, Prob) → A83
  101. RandomBinomial(NumTrial, Prob) → A84
  102. RandomBinomial(NumTrial, Prob) → A85
  103. RandomBinomial(NumTrial, Prob) → A86
  104. RandomBinomial(NumTrial, Prob) → A87
  105. RandomBinomial(NumTrial, Prob) → A88
  106. RandomBinomial(NumTrial, Prob) → A89
  107. RandomBinomial(NumTrial, Prob) → A90
  108. RandomBinomial(NumTrial, Prob) → A91
  109. RandomBinomial(NumTrial, Prob) → A92
  110. RandomBinomial(NumTrial, Prob) → A93
  111. RandomBinomial(NumTrial, Prob) → A94
  112. RandomBinomial(NumTrial, Prob) → A95
  113. RandomBinomial(NumTrial, Prob) → A96
  114. RandomBinomial(NumTrial, Prob) → A97
  115. RandomBinomial(NumTrial, Prob) → A98
  116. RandomBinomial(NumTrial, Prob) → A99
  117. RandomBinomial(NumTrial, Prob) → A100
  118. RandomBinomial(NumTrial, Prob) → A101
  119. RandomBinomial(NumTrial, Prob) → A102
  120. RandomBinomial(NumTrial, Prob) → A103
  121. RandomBinomial(NumTrial, Prob) → A104
  122. RandomBinomial(NumTrial, Prob) → A105
  123. RandomBinomial(NumTrial, Prob) → A106
  124. RandomBinomial(NumTrial, Prob) → A107
  125. RandomBinomial(NumTrial, Prob) → A108
  126. RandomBinomial(NumTrial, Prob) → A109
  127. RandomBinomial(NumTrial, Prob) → A110
  128. RandomBinomial(NumTrial, Prob) → A111
  129. RandomBinomial(NumTrial, Prob) → A112
  130. RandomBinomial(NumTrial, Prob) → A113
  131. RandomBinomial(NumTrial, Prob) → A114
  132. RandomBinomial(NumTrial, Prob) → A115
  133. RandomBinomial(NumTrial, Prob) → A116
  134. RandomBinomial(NumTrial, Prob) → A117
  135. RandomBinomial(NumTrial, Prob) → A118
  136. RandomBinomial(NumTrial, Prob) → A119
  137. RandomBinomial(NumTrial, Prob) → A120
  138. RandomBinomial(NumTrial, Prob) → A121
  139. RandomBinomial(NumTrial, Prob) → A122
  140. RandomBinomial(NumTrial, Prob) → A123
  141. RandomBinomial(NumTrial, Prob) → A124
  142. RandomBinomial(NumTrial, Prob) → A125
  143. RandomBinomial(NumTrial, Prob) → A126
  144. RandomBinomial(NumTrial, Prob) → A127
  145. RandomBinomial(NumTrial, Prob) → A128
  146. RandomBinomial(NumTrial, Prob) → A129
  147. RandomBinomial(NumTrial, Prob) → A130
  148. RandomBinomial(NumTrial, Prob) → A131
  149. RandomBinomial(NumTrial, Prob) → A132
  150. RandomBinomial(NumTrial, Prob) → A133
  151. RandomBinomial(NumTrial, Prob) → A134
  152. RandomBinomial(NumTrial, Prob) → A135
  153. RandomBinomial(NumTrial, Prob) → A136
  154. RandomBinomial(NumTrial, Prob) → A137
  155. RandomBinomial(NumTrial, Prob) → A138
  156. RandomBinomial(NumTrial, Prob) → A139
  157. RandomBinomial(NumTrial, Prob) → A140
  158. RandomBinomial(NumTrial, Prob) → A141
  159. RandomBinomial(NumTrial, Prob) → A142
  160. RandomBinomial(NumTrial, Prob) → A143
  161. RandomBinomial(NumTrial, Prob) → A144
  162. RandomBinomial(NumTrial, Prob) → A145
  163. RandomBinomial(NumTrial, Prob) → A146
  164. RandomBinomial(NumTrial, Prob) → A147
  165. RandomBinomial(NumTrial, Prob) → A148
  166. RandomBinomial(NumTrial, Prob) → A149
  167. RandomBinomial(NumTrial, Prob) → A150
  168. RandomBinomial(NumTrial, Prob) → A151
  169. RandomBinomial(NumTrial, Prob) → A152
  170. RandomBinomial(NumTrial, Prob) → A153
  171. RandomBinomial(NumTrial, Prob) → A154
  172. RandomBinomial(NumTrial, Prob) → A155
  173. RandomBinomial(NumTrial, Prob) → A156
  174. RandomBinomial(NumTrial, Prob) → A157
  175. RandomBinomial(NumTrial, Prob) → A158
  176. RandomBinomial(NumTrial, Prob) → A159
  177. RandomBinomial(NumTrial, Prob) → A160
  178. RandomBinomial(NumTrial, Prob) → A161
  179. RandomBinomial(NumTrial, Prob) → A162
  180. RandomBinomial(NumTrial, Prob) → A163
  181. RandomBinomial(NumTrial, Prob) → A164
  182. RandomBinomial(NumTrial, Prob) → A165
  183. RandomBinomial(NumTrial, Prob) → A166
  184. RandomBinomial(NumTrial, Prob) → A167
  185. RandomBinomial(NumTrial, Prob) → A168
  186. RandomBinomial(NumTrial, Prob) → A169
  187. RandomBinomial(NumTrial, Prob) → A170
  188. RandomBinomial(NumTrial, Prob) → A171
  189. RandomBinomial(NumTrial, Prob) → A172
  190. RandomBinomial(NumTrial, Prob) → A173
  191. RandomBinomial(NumTrial, Prob) → A174
  192. RandomBinomial(NumTrial, Prob) → A175
  193. RandomBinomial(NumTrial, Prob) → A176
  194. RandomBinomial(NumTrial, Prob) → A177
  195. RandomBinomial(NumTrial, Prob) → A178
  196. RandomBinomial(NumTrial, Prob) → A179
  197. RandomBinomial(NumTrial, Prob) → A180
  198. RandomBinomial(NumTrial, Prob) → A181
  199. RandomBinomial(NumTrial, Prob) → A182
  200. RandomBinomial(NumTrial, Prob) → A183
  201. RandomBinomial(NumTrial, Prob) → A184
  202. RandomBinomial(NumTrial, Prob) → A185
  203. RandomBinomial(NumTrial, Prob) → A186
  204. RandomBinomial(NumTrial, Prob) → A187
  205. RandomBinomial(NumTrial, Prob) → A188
  206. RandomBinomial(NumTrial, Prob) → A189
  207. RandomBinomial(NumTrial, Prob) → A190
  208. RandomBinomial(NumTrial, Prob) → A191
  209. RandomBinomial(NumTrial, Prob) → A192
  210. RandomBinomial(NumTrial, Prob) → A193
  211. RandomBinomial(NumTrial, Prob) → A194
  212. RandomBinomial(NumTrial, Prob) → A195
  213. RandomBinomial(NumTrial, Prob) → A196
  214. RandomBinomial(NumTrial, Prob) → A197
  215. RandomBinomial(NumTrial, Prob) → A198
  216. RandomBinomial(NumTrial, Prob) → A199
  217. RandomBinomial(NumTrial, Prob) → A200
  218. Text(RandxBar) → text3
  219. Text(RandSD) → text11
  220. Text(NumTrial) → text15