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Normal Distribution Demo by Valgarð Már Jakobsson

Normal Distribution Demo by Valgarð Már Jakobsson
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2016-09-27 05:10
FunctionProbability & StatisticsGraphing
This example demonstrates the generation of random normal distribution data and its histogram visualization. Key math concepts include normal distribution, probability & statistics, and data visualization. Construction highlights involve using RandomNormal for data generation, Normal for plotting the distribution curve, Sequence for creating data sequences, Histogram for data visualization, Mean for calculating the mean, Segment for interval drawing, and Min/Max for finding extrema. Suitable for high school students and beginners in statistics to learn about normal distribution properties and data visualization techniques.

GeoGebra Commands & Parameters

  1. RandomNormal(176, 9) → A1
  2. RandomNormal(176, 9) → A2
  3. RandomNormal(176, 9) → A3
  4. RandomNormal(176, 9) → A4
  5. RandomNormal(176, 9) → A5
  6. RandomNormal(176, 9) → A6
  7. RandomNormal(176, 9) → A7
  8. RandomNormal(176, 9) → A8
  9. RandomNormal(176, 9) → A9
  10. RandomNormal(176, 9) → A10
  11. RandomNormal(176, 9) → A11
  12. RandomNormal(176, 9) → A12
  13. RandomNormal(176, 9) → A13
  14. RandomNormal(176, 9) → A14
  15. RandomNormal(176, 9) → A15
  16. RandomNormal(176, 9) → A16
  17. RandomNormal(176, 9) → A17
  18. RandomNormal(176, 9) → A18
  19. RandomNormal(176, 9) → A19
  20. RandomNormal(176, 9) → A20
  21. RandomNormal(176, 9) → A21
  22. RandomNormal(176, 9) → A22
  23. RandomNormal(176, 9) → A23
  24. RandomNormal(176, 9) → A24
  25. RandomNormal(176, 9) → A25
  26. RandomNormal(176, 9) → A26
  27. RandomNormal(176, 9) → A27
  28. RandomNormal(176, 9) → A28
  29. RandomNormal(176, 9) → A29
  30. RandomNormal(176, 9) → A30
  31. RandomNormal(176, 9) → A31
  32. RandomNormal(176, 9) → A32
  33. RandomNormal(176, 9) → A33
  34. RandomNormal(176, 9) → A34
  35. RandomNormal(176, 9) → A35
  36. RandomNormal(176, 9) → A36
  37. RandomNormal(176, 9) → A37
  38. RandomNormal(176, 9) → A38
  39. RandomNormal(176, 9) → A39
  40. RandomNormal(176, 9) → A40
  41. RandomNormal(176, 9) → A41
  42. RandomNormal(176, 9) → A42
  43. RandomNormal(176, 9) → A43
  44. RandomNormal(176, 9) → A44
  45. RandomNormal(176, 9) → A45
  46. RandomNormal(176, 9) → A46
  47. RandomNormal(176, 9) → A47
  48. RandomNormal(176, 9) → A48
  49. RandomNormal(176, 9) → A49
  50. RandomNormal(176, 9) → A50
  51. RandomNormal(176, 9) → A51
  52. RandomNormal(176, 9) → A52
  53. RandomNormal(176, 9) → A53
  54. RandomNormal(176, 9) → A54
  55. RandomNormal(176, 9) → A55
  56. RandomNormal(176, 9) → A56
  57. RandomNormal(176, 9) → A57
  58. RandomNormal(176, 9) → A58
  59. RandomNormal(176, 9) → A59
  60. RandomNormal(176, 9) → A60
  61. RandomNormal(176, 9) → A61
  62. RandomNormal(176, 9) → A62
  63. RandomNormal(176, 9) → A63
  64. RandomNormal(176, 9) → A64
  65. RandomNormal(176, 9) → A65
  66. RandomNormal(176, 9) → A66
  67. RandomNormal(176, 9) → A67
  68. RandomNormal(176, 9) → A68
  69. RandomNormal(176, 9) → A69
  70. RandomNormal(176, 9) → A70
  71. RandomNormal(176, 9) → A71
  72. RandomNormal(176, 9) → A72
  73. RandomNormal(176, 9) → A73
  74. RandomNormal(176, 9) → A74
  75. RandomNormal(176, 9) → A75
  76. RandomNormal(176, 9) → A76
  77. RandomNormal(176, 9) → A77
  78. RandomNormal(176, 9) → A78
  79. RandomNormal(176, 9) → A79
  80. RandomNormal(176, 9) → A80
  81. RandomNormal(176, 9) → A81
  82. RandomNormal(176, 9) → A82
  83. RandomNormal(176, 9) → A83
  84. RandomNormal(176, 9) → A84
  85. RandomNormal(176, 9) → A85
  86. RandomNormal(176, 9) → A86
  87. RandomNormal(176, 9) → A87
  88. RandomNormal(176, 9) → A88
  89. RandomNormal(176, 9) → A89
  90. RandomNormal(176, 9) → A90
  91. RandomNormal(176, 9) → A91
  92. RandomNormal(176, 9) → A92
  93. RandomNormal(176, 9) → A93
  94. RandomNormal(176, 9) → A94
  95. RandomNormal(176, 9) → A95
  96. RandomNormal(176, 9) → A96
  97. RandomNormal(176, 9) → A97
  98. RandomNormal(176, 9) → A98
  99. RandomNormal(176, 9) → A99
  100. RandomNormal(176, 9) → A100
  101. Normal(176, 9, x) → f
  102. Sequence(140 + i, i, 0, 75, 5) → CH
  103. Histogram(CH, H, true, 0.01) → c
  104. Mean(H) → M
  105. Segment((M, 0), (M, f(M))) → g
  106. Normal(176, 9 / sqrt(Length[H]), x) → p
  107. Segment((M, 0), (M, p(M))) → h
  108. RandomNormal(176, 9 / sqrt(Length[H])) → B1
  109. RandomNormal(176, 9 / sqrt(Length[H])) → B2
  110. RandomNormal(176, 9 / sqrt(Length[H])) → B3
  111. RandomNormal(176, 9 / sqrt(Length[H])) → B4
  112. RandomNormal(176, 9 / sqrt(Length[H])) → B5
  113. RandomNormal(176, 9 / sqrt(Length[H])) → B6
  114. RandomNormal(176, 9 / sqrt(Length[H])) → B7
  115. RandomNormal(176, 9 / sqrt(Length[H])) → B8
  116. RandomNormal(176, 9 / sqrt(Length[H])) → B9
  117. RandomNormal(176, 9 / sqrt(Length[H])) → B10
  118. RandomNormal(176, 9 / sqrt(Length[H])) → B11
  119. RandomNormal(176, 9 / sqrt(Length[H])) → B12
  120. RandomNormal(176, 9 / sqrt(Length[H])) → B13
  121. RandomNormal(176, 9 / sqrt(Length[H])) → B14
  122. RandomNormal(176, 9 / sqrt(Length[H])) → B15
  123. RandomNormal(176, 9 / sqrt(Length[H])) → B16
  124. RandomNormal(176, 9 / sqrt(Length[H])) → B17
  125. RandomNormal(176, 9 / sqrt(Length[H])) → B18
  126. RandomNormal(176, 9 / sqrt(Length[H])) → B19
  127. RandomNormal(176, 9 / sqrt(Length[H])) → B20
  128. RandomNormal(176, 9 / sqrt(Length[H])) → B21
  129. RandomNormal(176, 9 / sqrt(Length[H])) → B22
  130. RandomNormal(176, 9 / sqrt(Length[H])) → B23
  131. RandomNormal(176, 9 / sqrt(Length[H])) → B24
  132. RandomNormal(176, 9 / sqrt(Length[H])) → B25
  133. RandomNormal(176, 9 / sqrt(Length[H])) → B26
  134. RandomNormal(176, 9 / sqrt(Length[H])) → B27
  135. RandomNormal(176, 9 / sqrt(Length[H])) → B28
  136. RandomNormal(176, 9 / sqrt(Length[H])) → B29
  137. RandomNormal(176, 9 / sqrt(Length[H])) → B30
  138. RandomNormal(176, 9 / sqrt(Length[H])) → B31
  139. RandomNormal(176, 9 / sqrt(Length[H])) → B32
  140. RandomNormal(176, 9 / sqrt(Length[H])) → B33
  141. RandomNormal(176, 9 / sqrt(Length[H])) → B34
  142. RandomNormal(176, 9 / sqrt(Length[H])) → B35
  143. RandomNormal(176, 9 / sqrt(Length[H])) → B36
  144. RandomNormal(176, 9 / sqrt(Length[H])) → B37
  145. RandomNormal(176, 9 / sqrt(Length[H])) → B38
  146. RandomNormal(176, 9 / sqrt(Length[H])) → B39
  147. RandomNormal(176, 9 / sqrt(Length[H])) → B40
  148. RandomNormal(176, 9 / sqrt(Length[H])) → B41
  149. RandomNormal(176, 9 / sqrt(Length[H])) → B42
  150. RandomNormal(176, 9 / sqrt(Length[H])) → B43
  151. RandomNormal(176, 9 / sqrt(Length[H])) → B44
  152. RandomNormal(176, 9 / sqrt(Length[H])) → B45
  153. RandomNormal(176, 9 / sqrt(Length[H])) → B46
  154. RandomNormal(176, 9 / sqrt(Length[H])) → B47
  155. RandomNormal(176, 9 / sqrt(Length[H])) → B48
  156. RandomNormal(176, 9 / sqrt(Length[H])) → B49
  157. RandomNormal(176, 9 / sqrt(Length[H])) → B50
  158. RandomNormal(176, 9 / sqrt(Length[H])) → B51
  159. RandomNormal(176, 9 / sqrt(Length[H])) → B52
  160. RandomNormal(176, 9 / sqrt(Length[H])) → B53
  161. RandomNormal(176, 9 / sqrt(Length[H])) → B54
  162. RandomNormal(176, 9 / sqrt(Length[H])) → B55
  163. RandomNormal(176, 9 / sqrt(Length[H])) → B56
  164. RandomNormal(176, 9 / sqrt(Length[H])) → B57
  165. RandomNormal(176, 9 / sqrt(Length[H])) → B58
  166. RandomNormal(176, 9 / sqrt(Length[H])) → B59
  167. RandomNormal(176, 9 / sqrt(Length[H])) → B60
  168. RandomNormal(176, 9 / sqrt(Length[H])) → B61
  169. RandomNormal(176, 9 / sqrt(Length[H])) → B62
  170. RandomNormal(176, 9 / sqrt(Length[H])) → B63
  171. RandomNormal(176, 9 / sqrt(Length[H])) → B64
  172. RandomNormal(176, 9 / sqrt(Length[H])) → B65
  173. RandomNormal(176, 9 / sqrt(Length[H])) → B66
  174. RandomNormal(176, 9 / sqrt(Length[H])) → B67
  175. RandomNormal(176, 9 / sqrt(Length[H])) → B68
  176. RandomNormal(176, 9 / sqrt(Length[H])) → B69
  177. RandomNormal(176, 9 / sqrt(Length[H])) → B70
  178. RandomNormal(176, 9 / sqrt(Length[H])) → B71
  179. RandomNormal(176, 9 / sqrt(Length[H])) → B72
  180. RandomNormal(176, 9 / sqrt(Length[H])) → B73
  181. RandomNormal(176, 9 / sqrt(Length[H])) → B74
  182. RandomNormal(176, 9 / sqrt(Length[H])) → B75
  183. RandomNormal(176, 9 / sqrt(Length[H])) → B76
  184. RandomNormal(176, 9 / sqrt(Length[H])) → B77
  185. RandomNormal(176, 9 / sqrt(Length[H])) → B78
  186. RandomNormal(176, 9 / sqrt(Length[H])) → B79
  187. RandomNormal(176, 9 / sqrt(Length[H])) → B80
  188. RandomNormal(176, 9 / sqrt(Length[H])) → B81
  189. RandomNormal(176, 9 / sqrt(Length[H])) → B82
  190. RandomNormal(176, 9 / sqrt(Length[H])) → B83
  191. RandomNormal(176, 9 / sqrt(Length[H])) → B84
  192. RandomNormal(176, 9 / sqrt(Length[H])) → B85
  193. RandomNormal(176, 9 / sqrt(Length[H])) → B86
  194. RandomNormal(176, 9 / sqrt(Length[H])) → B87
  195. RandomNormal(176, 9 / sqrt(Length[H])) → B88
  196. RandomNormal(176, 9 / sqrt(Length[H])) → B89
  197. RandomNormal(176, 9 / sqrt(Length[H])) → B90
  198. RandomNormal(176, 9 / sqrt(Length[H])) → B91
  199. RandomNormal(176, 9 / sqrt(Length[H])) → B92
  200. RandomNormal(176, 9 / sqrt(Length[H])) → B93
  201. RandomNormal(176, 9 / sqrt(Length[H])) → B94
  202. RandomNormal(176, 9 / sqrt(Length[H])) → B95
  203. RandomNormal(176, 9 / sqrt(Length[H])) → B96
  204. RandomNormal(176, 9 / sqrt(Length[H])) → B97
  205. RandomNormal(176, 9 / sqrt(Length[H])) → B98
  206. RandomNormal(176, 9 / sqrt(Length[H])) → B99
  207. RandomNormal(176, 9 / sqrt(Length[H])) → B100
  208. Min(MH) → d
  209. Max(MH) → e
  210. Sequence(173 + i, i, 0, 6) → CMH
  211. Histogram(CMH, MH, true, 0.01) → i