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Friends Waiting Simulation

Friends Waiting Simulation
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2016-06-08 23:07
FunctionCalculusProbability & StatisticsGraphing
In collections Statistics Simulations Statistics Simulations
This example demonstrates the simulation of friends arriving at random times, visualizing the distribution of waiting times. Key math concepts include Probability & Statistics (Random Variables), data distribution (BoxPlot, DotPlot), and numerical computation (Sum). The construction uses commands like Random, If, Sum, and objects like DotPlot and BoxPlot to generate and display data distributions, making it suitable for high school students learning probability and data analysis.

GeoGebra Commands & Parameters

  1. Random(0, 60) → A1
  2. Random(0, 60) → B1
  3. Random(0, 60) → A2
  4. Random(0, 60) → B2
  5. Random(0, 60) → A3
  6. Random(0, 60) → B3
  7. Random(0, 60) → A4
  8. Random(0, 60) → B4
  9. Random(0, 60) → A5
  10. Random(0, 60) → B5
  11. Random(0, 60) → A6
  12. Random(0, 60) → B6
  13. Random(0, 60) → A7
  14. Random(0, 60) → B7
  15. Random(0, 60) → A8
  16. Random(0, 60) → B8
  17. Random(0, 60) → A9
  18. Random(0, 60) → B9
  19. Random(0, 60) → A10
  20. Random(0, 60) → B10
  21. Random(0, 60) → A11
  22. Random(0, 60) → B11
  23. Random(0, 60) → A12
  24. Random(0, 60) → B12
  25. Random(0, 60) → A13
  26. Random(0, 60) → B13
  27. Random(0, 60) → A14
  28. Random(0, 60) → B14
  29. Random(0, 60) → A15
  30. Random(0, 60) → B15
  31. Random(0, 60) → A16
  32. Random(0, 60) → B16
  33. Random(0, 60) → A17
  34. Random(0, 60) → B17
  35. Random(0, 60) → A18
  36. Random(0, 60) → B18
  37. Random(0, 60) → A19
  38. Random(0, 60) → B19
  39. Random(0, 60) → A20
  40. Random(0, 60) → B20
  41. Random(0, 60) → A21
  42. Random(0, 60) → B21
  43. Random(0, 60) → A22
  44. Random(0, 60) → B22
  45. Random(0, 60) → A23
  46. Random(0, 60) → B23
  47. Random(0, 60) → A24
  48. Random(0, 60) → B24
  49. Random(0, 60) → A25
  50. Random(0, 60) → B25
  51. Random(0, 60) → A26
  52. Random(0, 60) → B26
  53. Random(0, 60) → A27
  54. Random(0, 60) → B27
  55. Random(0, 60) → A28
  56. Random(0, 60) → B28
  57. Random(0, 60) → A29
  58. Random(0, 60) → B29
  59. Random(0, 60) → A30
  60. Random(0, 60) → B30
  61. Random(0, 60) → A31
  62. Random(0, 60) → B31
  63. Random(0, 60) → A32
  64. Random(0, 60) → B32
  65. Random(0, 60) → A33
  66. Random(0, 60) → B33
  67. Random(0, 60) → A34
  68. Random(0, 60) → B34
  69. Random(0, 60) → A35
  70. Random(0, 60) → B35
  71. Random(0, 60) → A36
  72. Random(0, 60) → B36
  73. Random(0, 60) → A37
  74. Random(0, 60) → B37
  75. Random(0, 60) → A38
  76. Random(0, 60) → B38
  77. Random(0, 60) → A39
  78. Random(0, 60) → B39
  79. Random(0, 60) → A40
  80. Random(0, 60) → B40
  81. Random(0, 60) → A41
  82. Random(0, 60) → B41
  83. Random(0, 60) → A42
  84. Random(0, 60) → B42
  85. Random(0, 60) → A43
  86. Random(0, 60) → B43
  87. Random(0, 60) → A44
  88. Random(0, 60) → B44
  89. Random(0, 60) → A45
  90. Random(0, 60) → B45
  91. Random(0, 60) → A46
  92. Random(0, 60) → B46
  93. Random(0, 60) → A47
  94. Random(0, 60) → B47
  95. Random(0, 60) → A48
  96. Random(0, 60) → B48
  97. Random(0, 60) → A49
  98. Random(0, 60) → B49
  99. Random(0, 60) → A50
  100. Random(0, 60) → B50
  101. Random(0, 60) → A51
  102. Random(0, 60) → B51
  103. Random(0, 60) → A52
  104. Random(0, 60) → B52
  105. Random(0, 60) → A53
  106. Random(0, 60) → B53
  107. Random(0, 60) → A54
  108. Random(0, 60) → B54
  109. Random(0, 60) → A55
  110. Random(0, 60) → B55
  111. Random(0, 60) → A56
  112. Random(0, 60) → B56
  113. Random(0, 60) → A57
  114. Random(0, 60) → B57
  115. Random(0, 60) → A58
  116. Random(0, 60) → B58
  117. Random(0, 60) → A59
  118. Random(0, 60) → B59
  119. Random(0, 60) → A60
  120. Random(0, 60) → B60
  121. Random(0, 60) → A61
  122. Random(0, 60) → B61
  123. Random(0, 60) → A62
  124. Random(0, 60) → B62
  125. Random(0, 60) → A63
  126. Random(0, 60) → B63
  127. Random(0, 60) → A64
  128. Random(0, 60) → B64
  129. Random(0, 60) → A65
  130. Random(0, 60) → B65
  131. Random(0, 60) → A66
  132. Random(0, 60) → B66
  133. Random(0, 60) → A67
  134. Random(0, 60) → B67
  135. Random(0, 60) → A68
  136. Random(0, 60) → B68
  137. Random(0, 60) → A69
  138. Random(0, 60) → B69
  139. Random(0, 60) → A70
  140. Random(0, 60) → B70
  141. Random(0, 60) → A71
  142. Random(0, 60) → B71
  143. Random(0, 60) → A72
  144. Random(0, 60) → B72
  145. Random(0, 60) → A73
  146. Random(0, 60) → B73
  147. Random(0, 60) → A74
  148. Random(0, 60) → B74
  149. Random(0, 60) → A75
  150. Random(0, 60) → B75
  151. Random(0, 60) → A76
  152. Random(0, 60) → B76
  153. Random(0, 60) → A77
  154. Random(0, 60) → B77
  155. Random(0, 60) → A78
  156. Random(0, 60) → B78
  157. Random(0, 60) → A79
  158. Random(0, 60) → B79
  159. Random(0, 60) → A80
  160. Random(0, 60) → B80
  161. Random(0, 60) → A81
  162. Random(0, 60) → B81
  163. Random(0, 60) → A82
  164. Random(0, 60) → B82
  165. Random(0, 60) → A83
  166. Random(0, 60) → B83
  167. Random(0, 60) → A84
  168. Random(0, 60) → B84
  169. Random(0, 60) → A85
  170. Random(0, 60) → B85
  171. Random(0, 60) → A86
  172. Random(0, 60) → B86
  173. Random(0, 60) → A87
  174. Random(0, 60) → B87
  175. Random(0, 60) → A88
  176. Random(0, 60) → B88
  177. Random(0, 60) → A89
  178. Random(0, 60) → B89
  179. Random(0, 60) → A90
  180. Random(0, 60) → B90
  181. Random(0, 60) → A91
  182. Random(0, 60) → B91
  183. Random(0, 60) → A92
  184. Random(0, 60) → B92
  185. Random(0, 60) → A93
  186. Random(0, 60) → B93
  187. Random(0, 60) → A94
  188. Random(0, 60) → B94
  189. Random(0, 60) → A95
  190. Random(0, 60) → B95
  191. Random(0, 60) → A96
  192. Random(0, 60) → B96
  193. Random(0, 60) → A97
  194. Random(0, 60) → B97
  195. Random(0, 60) → A98
  196. Random(0, 60) → B98
  197. Random(0, 60) → A99
  198. Random(0, 60) → B99
  199. Random(0, 60) → A100
  200. Random(0, 60) → B100
  201. If(abs(A1 - B1) ≤ 15, 1, 0) → C1
  202. If(abs(A2 - B2) ≤ 15, 1, 0) → C2
  203. If(abs(A3 - B3) ≤ 15, 1, 0) → C3
  204. If(abs(A4 - B4) ≤ 15, 1, 0) → C4
  205. If(abs(A5 - B5) ≤ 15, 1, 0) → C5
  206. If(abs(A6 - B6) ≤ 15, 1, 0) → C6
  207. If(abs(A7 - B7) ≤ 15, 1, 0) → C7
  208. If(abs(A8 - B8) ≤ 15, 1, 0) → C8
  209. If(abs(A9 - B9) ≤ 15, 1, 0) → C9
  210. If(abs(A10 - B10) ≤ 15, 1, 0) → C10
  211. If(abs(A11 - B11) ≤ 15, 1, 0) → C11
  212. If(abs(A12 - B12) ≤ 15, 1, 0) → C12
  213. If(abs(A13 - B13) ≤ 15, 1, 0) → C13
  214. If(abs(A14 - B14) ≤ 15, 1, 0) → C14
  215. If(abs(A15 - B15) ≤ 15, 1, 0) → C15
  216. If(abs(A16 - B16) ≤ 15, 1, 0) → C16
  217. If(abs(A17 - B17) ≤ 15, 1, 0) → C17
  218. If(abs(A18 - B18) ≤ 15, 1, 0) → C18
  219. If(abs(A19 - B19) ≤ 15, 1, 0) → C19
  220. If(abs(A20 - B20) ≤ 15, 1, 0) → C20
  221. If(abs(A21 - B21) ≤ 15, 1, 0) → C21
  222. If(abs(A22 - B22) ≤ 15, 1, 0) → C22
  223. If(abs(A23 - B23) ≤ 15, 1, 0) → C23
  224. If(abs(A24 - B24) ≤ 15, 1, 0) → C24
  225. If(abs(A25 - B25) ≤ 15, 1, 0) → C25
  226. If(abs(A26 - B26) ≤ 15, 1, 0) → C26
  227. If(abs(A27 - B27) ≤ 15, 1, 0) → C27
  228. If(abs(A28 - B28) ≤ 15, 1, 0) → C28
  229. If(abs(A29 - B29) ≤ 15, 1, 0) → C29
  230. If(abs(A30 - B30) ≤ 15, 1, 0) → C30
  231. If(abs(A31 - B31) ≤ 15, 1, 0) → C31
  232. If(abs(A32 - B32) ≤ 15, 1, 0) → C32
  233. If(abs(A33 - B33) ≤ 15, 1, 0) → C33
  234. If(abs(A34 - B34) ≤ 15, 1, 0) → C34
  235. If(abs(A35 - B35) ≤ 15, 1, 0) → C35
  236. If(abs(A36 - B36) ≤ 15, 1, 0) → C36
  237. If(abs(A37 - B37) ≤ 15, 1, 0) → C37
  238. If(abs(A38 - B38) ≤ 15, 1, 0) → C38
  239. If(abs(A39 - B39) ≤ 15, 1, 0) → C39
  240. If(abs(A40 - B40) ≤ 15, 1, 0) → C40
  241. If(abs(A41 - B41) ≤ 15, 1, 0) → C41
  242. If(abs(A42 - B42) ≤ 15, 1, 0) → C42
  243. If(abs(A43 - B43) ≤ 15, 1, 0) → C43
  244. If(abs(A44 - B44) ≤ 15, 1, 0) → C44
  245. If(abs(A45 - B45) ≤ 15, 1, 0) → C45
  246. If(abs(A46 - B46) ≤ 15, 1, 0) → C46
  247. If(abs(A47 - B47) ≤ 15, 1, 0) → C47
  248. If(abs(A48 - B48) ≤ 15, 1, 0) → C48
  249. If(abs(A49 - B49) ≤ 15, 1, 0) → C49
  250. If(abs(A50 - B50) ≤ 15, 1, 0) → C50
  251. If(abs(A51 - B51) ≤ 15, 1, 0) → C51
  252. If(abs(A52 - B52) ≤ 15, 1, 0) → C52
  253. If(abs(A53 - B53) ≤ 15, 1, 0) → C53
  254. If(abs(A54 - B54) ≤ 15, 1, 0) → C54
  255. If(abs(A55 - B55) ≤ 15, 1, 0) → C55
  256. If(abs(A56 - B56) ≤ 15, 1, 0) → C56
  257. If(abs(A57 - B57) ≤ 15, 1, 0) → C57
  258. If(abs(A58 - B58) ≤ 15, 1, 0) → C58
  259. If(abs(A59 - B59) ≤ 15, 1, 0) → C59
  260. If(abs(A60 - B60) ≤ 15, 1, 0) → C60
  261. If(abs(A61 - B61) ≤ 15, 1, 0) → C61
  262. If(abs(A62 - B62) ≤ 15, 1, 0) → C62
  263. If(abs(A63 - B63) ≤ 15, 1, 0) → C63
  264. If(abs(A64 - B64) ≤ 15, 1, 0) → C64
  265. If(abs(A65 - B65) ≤ 15, 1, 0) → C65
  266. If(abs(A66 - B66) ≤ 15, 1, 0) → C66
  267. If(abs(A67 - B67) ≤ 15, 1, 0) → C67
  268. If(abs(A68 - B68) ≤ 15, 1, 0) → C68
  269. If(abs(A69 - B69) ≤ 15, 1, 0) → C69
  270. If(abs(A70 - B70) ≤ 15, 1, 0) → C70
  271. If(abs(A71 - B71) ≤ 15, 1, 0) → C71
  272. If(abs(A72 - B72) ≤ 15, 1, 0) → C72
  273. If(abs(A73 - B73) ≤ 15, 1, 0) → C73
  274. If(abs(A74 - B74) ≤ 15, 1, 0) → C74
  275. If(abs(A75 - B75) ≤ 15, 1, 0) → C75
  276. If(abs(A76 - B76) ≤ 15, 1, 0) → C76
  277. If(abs(A77 - B77) ≤ 15, 1, 0) → C77
  278. If(abs(A78 - B78) ≤ 15, 1, 0) → C78
  279. If(abs(A79 - B79) ≤ 15, 1, 0) → C79
  280. If(abs(A80 - B80) ≤ 15, 1, 0) → C80
  281. If(abs(A81 - B81) ≤ 15, 1, 0) → C81
  282. If(abs(A82 - B82) ≤ 15, 1, 0) → C82
  283. If(abs(A83 - B83) ≤ 15, 1, 0) → C83
  284. If(abs(A84 - B84) ≤ 15, 1, 0) → C84
  285. If(abs(A85 - B85) ≤ 15, 1, 0) → C85
  286. If(abs(A86 - B86) ≤ 15, 1, 0) → C86
  287. If(abs(A87 - B87) ≤ 15, 1, 0) → C87
  288. If(abs(A88 - B88) ≤ 15, 1, 0) → C88
  289. If(abs(A89 - B89) ≤ 15, 1, 0) → C89
  290. If(abs(A90 - B90) ≤ 15, 1, 0) → C90
  291. If(abs(A91 - B91) ≤ 15, 1, 0) → C91
  292. If(abs(A92 - B92) ≤ 15, 1, 0) → C92
  293. If(abs(A93 - B93) ≤ 15, 1, 0) → C93
  294. If(abs(A94 - B94) ≤ 15, 1, 0) → C94
  295. If(abs(A95 - B95) ≤ 15, 1, 0) → C95
  296. If(abs(A96 - B96) ≤ 15, 1, 0) → C96
  297. If(abs(A97 - B97) ≤ 15, 1, 0) → C97
  298. If(abs(A98 - B98) ≤ 15, 1, 0) → C98
  299. If(abs(A99 - B99) ≤ 15, 1, 0) → C99
  300. If(abs(A100 - B100) ≤ 15, 1, 0) → C100
  301. Sum(C1:C100) → D1
  302. DotPlot(data, false, 0.2) → list1
  303. BoxPlot(4, 0.5, data) → a