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Discover Central Limit Theorem Dice

Discover Central Limit Theorem Dice
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2020-04-22 05:40
FunctionProbability & Statistics
This example demonstrates the Central Limit Theorem by averaging dice throws and observing how the sample mean distribution approaches a normal distribution. Key math concepts include probability & statistics, geometric mean, and the Central Limit Theorem. It constructs visualizations using commands like Sample, mean, Take, stdev, Histogram, BoxPlot, NormalQuantilePlot, Normal, and DotPlot. Suitable for high school and above, it provides a practical and visual understanding of the theorem's application.

GeoGebra Commands & Parameters

  1. Sample(X, n) → B2
  2. mean(B2) → C2
  3. Sample(X, n) → B3
  4. mean(B3) → C3
  5. Sample(X, n) → B4
  6. mean(B4) → C4
  7. Sample(X, n) → B5
  8. mean(B5) → C5
  9. Sample(X, n) → B6
  10. mean(B6) → C6
  11. Sample(X, n) → B7
  12. mean(B7) → C7
  13. Sample(X, n) → B8
  14. mean(B8) → C8
  15. Sample(X, n) → B9
  16. mean(B9) → C9
  17. Sample(X, n) → B10
  18. mean(B10) → C10
  19. Sample(X, n) → B11
  20. mean(B11) → C11
  21. Sample(X, n) → B12
  22. mean(B12) → C12
  23. Sample(X, n) → B13
  24. mean(B13) → C13
  25. Sample(X, n) → B14
  26. mean(B14) → C14
  27. Sample(X, n) → B15
  28. mean(B15) → C15
  29. Sample(X, n) → B16
  30. mean(B16) → C16
  31. Sample(X, n) → B17
  32. mean(B17) → C17
  33. Sample(X, n) → B18
  34. mean(B18) → C18
  35. Sample(X, n) → B19
  36. mean(B19) → C19
  37. Sample(X, n) → B20
  38. mean(B20) → C20
  39. Sample(X, n) → B21
  40. mean(B21) → C21
  41. Sample(X, n) → B22
  42. mean(B22) → C22
  43. Sample(X, n) → B23
  44. mean(B23) → C23
  45. Sample(X, n) → B24
  46. mean(B24) → C24
  47. Sample(X, n) → B25
  48. mean(B25) → C25
  49. Sample(X, n) → B26
  50. mean(B26) → C26
  51. Sample(X, n) → B27
  52. mean(B27) → C27
  53. Sample(X, n) → B28
  54. mean(B28) → C28
  55. Sample(X, n) → B29
  56. mean(B29) → C29
  57. Sample(X, n) → B30
  58. mean(B30) → C30
  59. Sample(X, n) → B31
  60. mean(B31) → C31
  61. Sample(X, n) → B32
  62. mean(B32) → C32
  63. Sample(X, n) → B33
  64. mean(B33) → C33
  65. Sample(X, n) → B34
  66. mean(B34) → C34
  67. Sample(X, n) → B35
  68. mean(B35) → C35
  69. Sample(X, n) → B36
  70. mean(B36) → C36
  71. Sample(X, n) → B37
  72. mean(B37) → C37
  73. Sample(X, n) → B38
  74. mean(B38) → C38
  75. Sample(X, n) → B39
  76. mean(B39) → C39
  77. Sample(X, n) → B40
  78. mean(B40) → C40
  79. Sample(X, n) → B41
  80. mean(B41) → C41
  81. Sample(X, n) → B42
  82. mean(B42) → C42
  83. Sample(X, n) → B43
  84. mean(B43) → C43
  85. Sample(X, n) → B44
  86. mean(B44) → C44
  87. Sample(X, n) → B45
  88. mean(B45) → C45
  89. Sample(X, n) → B46
  90. mean(B46) → C46
  91. Sample(X, n) → B47
  92. mean(B47) → C47
  93. Sample(X, n) → B48
  94. mean(B48) → C48
  95. Sample(X, n) → B49
  96. mean(B49) → C49
  97. Sample(X, n) → B50
  98. mean(B50) → C50
  99. Sample(X, n) → B51
  100. mean(B51) → C51
  101. Sample(X, n) → B52
  102. mean(B52) → C52
  103. Sample(X, n) → B53
  104. mean(B53) → C53
  105. Sample(X, n) → B54
  106. mean(B54) → C54
  107. Sample(X, n) → B55
  108. mean(B55) → C55
  109. Sample(X, n) → B56
  110. mean(B56) → C56
  111. Sample(X, n) → B57
  112. mean(B57) → C57
  113. Sample(X, n) → B58
  114. mean(B58) → C58
  115. Sample(X, n) → B59
  116. mean(B59) → C59
  117. Sample(X, n) → B60
  118. mean(B60) → C60
  119. Sample(X, n) → B61
  120. mean(B61) → C61
  121. Sample(X, n) → B62
  122. mean(B62) → C62
  123. Sample(X, n) → B63
  124. mean(B63) → C63
  125. Sample(X, n) → B64
  126. mean(B64) → C64
  127. Sample(X, n) → B65
  128. mean(B65) → C65
  129. Sample(X, n) → B66
  130. mean(B66) → C66
  131. Sample(X, n) → B67
  132. mean(B67) → C67
  133. Sample(X, n) → B68
  134. mean(B68) → C68
  135. Sample(X, n) → B69
  136. mean(B69) → C69
  137. Sample(X, n) → B70
  138. mean(B70) → C70
  139. Sample(X, n) → B71
  140. mean(B71) → C71
  141. Sample(X, n) → B72
  142. mean(B72) → C72
  143. Sample(X, n) → B73
  144. mean(B73) → C73
  145. Sample(X, n) → B74
  146. mean(B74) → C74
  147. Sample(X, n) → B75
  148. mean(B75) → C75
  149. Sample(X, n) → B76
  150. mean(B76) → C76
  151. Sample(X, n) → B77
  152. mean(B77) → C77
  153. Sample(X, n) → B78
  154. mean(B78) → C78
  155. Sample(X, n) → B79
  156. mean(B79) → C79
  157. Sample(X, n) → B80
  158. mean(B80) → C80
  159. Sample(X, n) → B81
  160. mean(B81) → C81
  161. Sample(X, n) → B82
  162. mean(B82) → C82
  163. Sample(X, n) → B83
  164. mean(B83) → C83
  165. Sample(X, n) → B84
  166. mean(B84) → C84
  167. Sample(X, n) → B85
  168. mean(B85) → C85
  169. Sample(X, n) → B86
  170. mean(B86) → C86
  171. Sample(X, n) → B87
  172. mean(B87) → C87
  173. Sample(X, n) → B88
  174. mean(B88) → C88
  175. Sample(X, n) → B89
  176. mean(B89) → C89
  177. Sample(X, n) → B90
  178. mean(B90) → C90
  179. Sample(X, n) → B91
  180. mean(B91) → C91
  181. Sample(X, n) → B92
  182. mean(B92) → C92
  183. Sample(X, n) → B93
  184. mean(B93) → C93
  185. Sample(X, n) → B94
  186. mean(B94) → C94
  187. Sample(X, n) → B95
  188. mean(B95) → C95
  189. Sample(X, n) → B96
  190. mean(B96) → C96
  191. Sample(X, n) → B97
  192. mean(B97) → C97
  193. Sample(X, n) → B98
  194. mean(B98) → C98
  195. Sample(X, n) → B99
  196. mean(B99) → C99
  197. Sample(X, n) → B100
  198. mean(B100) → C100
  199. Sample(X, n) → B101
  200. mean(B101) → C101
  201. Sample(X, n) → B102
  202. mean(B102) → C102
  203. Sample(X, n) → B103
  204. mean(B103) → C103
  205. Sample(X, n) → B104
  206. mean(B104) → C104
  207. Sample(X, n) → B105
  208. mean(B105) → C105
  209. Sample(X, n) → B106
  210. mean(B106) → C106
  211. Sample(X, n) → B107
  212. mean(B107) → C107
  213. Sample(X, n) → B108
  214. mean(B108) → C108
  215. Sample(X, n) → B109
  216. mean(B109) → C109
  217. Sample(X, n) → B110
  218. mean(B110) → C110
  219. Sample(X, n) → B111
  220. mean(B111) → C111
  221. Sample(X, n) → B112
  222. mean(B112) → C112
  223. Sample(X, n) → B113
  224. mean(B113) → C113
  225. Sample(X, n) → B114
  226. mean(B114) → C114
  227. Sample(X, n) → B115
  228. mean(B115) → C115
  229. Sample(X, n) → B116
  230. mean(B116) → C116
  231. Sample(X, n) → B117
  232. mean(B117) → C117
  233. Sample(X, n) → B118
  234. mean(B118) → C118
  235. Sample(X, n) → B119
  236. mean(B119) → C119
  237. Sample(X, n) → B120
  238. mean(B120) → C120
  239. Sample(X, n) → B121
  240. mean(B121) → C121
  241. Sample(X, n) → B122
  242. mean(B122) → C122
  243. Sample(X, n) → B123
  244. mean(B123) → C123
  245. Sample(X, n) → B124
  246. mean(B124) → C124
  247. Sample(X, n) → B125
  248. mean(B125) → C125
  249. Sample(X, n) → B126
  250. mean(B126) → C126
  251. Sample(X, n) → B127
  252. mean(B127) → C127
  253. Sample(X, n) → B128
  254. mean(B128) → C128
  255. Sample(X, n) → B129
  256. mean(B129) → C129
  257. Sample(X, n) → B130
  258. mean(B130) → C130
  259. Sample(X, n) → B131
  260. mean(B131) → C131
  261. Sample(X, n) → B132
  262. mean(B132) → C132
  263. Sample(X, n) → B133
  264. mean(B133) → C133
  265. Sample(X, n) → B134
  266. mean(B134) → C134
  267. Sample(X, n) → B135
  268. mean(B135) → C135
  269. Sample(X, n) → B136
  270. mean(B136) → C136
  271. Sample(X, n) → B137
  272. mean(B137) → C137
  273. Sample(X, n) → B138
  274. mean(B138) → C138
  275. Sample(X, n) → B139
  276. mean(B139) → C139
  277. Sample(X, n) → B140
  278. mean(B140) → C140
  279. Sample(X, n) → B141
  280. mean(B141) → C141
  281. Sample(X, n) → B142
  282. mean(B142) → C142
  283. Sample(X, n) → B143
  284. mean(B143) → C143
  285. Sample(X, n) → B144
  286. mean(B144) → C144
  287. Sample(X, n) → B145
  288. mean(B145) → C145
  289. Sample(X, n) → B146
  290. mean(B146) → C146
  291. Sample(X, n) → B147
  292. mean(B147) → C147
  293. Sample(X, n) → B148
  294. mean(B148) → C148
  295. Sample(X, n) → B149
  296. mean(B149) → C149
  297. Sample(X, n) → B150
  298. mean(B150) → C150
  299. Sample(X, n) → B151
  300. mean(B151) → C151
  301. Sample(X, n) → B152
  302. mean(B152) → C152
  303. Sample(X, n) → B153
  304. mean(B153) → C153
  305. Sample(X, n) → B154
  306. mean(B154) → C154
  307. Sample(X, n) → B155
  308. mean(B155) → C155
  309. Sample(X, n) → B156
  310. mean(B156) → C156
  311. Sample(X, n) → B157
  312. mean(B157) → C157
  313. Sample(X, n) → B158
  314. mean(B158) → C158
  315. Sample(X, n) → B159
  316. mean(B159) → C159
  317. Sample(X, n) → B160
  318. mean(B160) → C160
  319. Sample(X, n) → B161
  320. mean(B161) → C161
  321. Sample(X, n) → B162
  322. mean(B162) → C162
  323. Sample(X, n) → B163
  324. mean(B163) → C163
  325. Sample(X, n) → B164
  326. mean(B164) → C164
  327. Sample(X, n) → B165
  328. mean(B165) → C165
  329. Sample(X, n) → B166
  330. mean(B166) → C166
  331. Sample(X, n) → B167
  332. mean(B167) → C167
  333. Sample(X, n) → B168
  334. mean(B168) → C168
  335. Sample(X, n) → B169
  336. mean(B169) → C169
  337. Sample(X, n) → B170
  338. mean(B170) → C170
  339. Sample(X, n) → B171
  340. mean(B171) → C171
  341. Sample(X, n) → B172
  342. mean(B172) → C172
  343. Sample(X, n) → B173
  344. mean(B173) → C173
  345. Sample(X, n) → B174
  346. mean(B174) → C174
  347. Sample(X, n) → B175
  348. mean(B175) → C175
  349. Sample(X, n) → B176
  350. mean(B176) → C176
  351. Sample(X, n) → B177
  352. mean(B177) → C177
  353. Sample(X, n) → B178
  354. mean(B178) → C178
  355. Sample(X, n) → B179
  356. mean(B179) → C179
  357. Sample(X, n) → B180
  358. mean(B180) → C180
  359. Sample(X, n) → B181
  360. mean(B181) → C181
  361. Sample(X, n) → B182
  362. mean(B182) → C182
  363. Sample(X, n) → B183
  364. mean(B183) → C183
  365. Sample(X, n) → B184
  366. mean(B184) → C184
  367. Sample(X, n) → B185
  368. mean(B185) → C185
  369. Sample(X, n) → B186
  370. mean(B186) → C186
  371. Sample(X, n) → B187
  372. mean(B187) → C187
  373. Sample(X, n) → B188
  374. mean(B188) → C188
  375. Sample(X, n) → B189
  376. mean(B189) → C189
  377. Sample(X, n) → B190
  378. mean(B190) → C190
  379. Sample(X, n) → B191
  380. mean(B191) → C191
  381. Sample(X, n) → B192
  382. mean(B192) → C192
  383. Sample(X, n) → B193
  384. mean(B193) → C193
  385. Sample(X, n) → B194
  386. mean(B194) → C194
  387. Sample(X, n) → B195
  388. mean(B195) → C195
  389. Sample(X, n) → B196
  390. mean(B196) → C196
  391. Sample(X, n) → B197
  392. mean(B197) → C197
  393. Sample(X, n) → B198
  394. mean(B198) → C198
  395. Sample(X, n) → B199
  396. mean(B199) → C199
  397. Sample(X, n) → B200
  398. mean(B200) → C200
  399. Sample(X, n) → B201
  400. mean(B201) → C201
  401. Sample(X, n) → B202
  402. mean(B202) → C202
  403. Sample(X, n) → B203
  404. mean(B203) → C203
  405. Sample(X, n) → B204
  406. mean(B204) → C204
  407. Sample(X, n) → B205
  408. mean(B205) → C205
  409. Sample(X, n) → B206
  410. mean(B206) → C206
  411. Sample(X, n) → B207
  412. mean(B207) → C207
  413. Sample(X, n) → B208
  414. mean(B208) → C208
  415. Sample(X, n) → B209
  416. mean(B209) → C209
  417. Sample(X, n) → B210
  418. mean(B210) → C210
  419. Sample(X, n) → B211
  420. mean(B211) → C211
  421. Sample(X, n) → B212
  422. mean(B212) → C212
  423. Sample(X, n) → B213
  424. mean(B213) → C213
  425. Sample(X, n) → B214
  426. mean(B214) → C214
  427. Sample(X, n) → B215
  428. mean(B215) → C215
  429. Sample(X, n) → B216
  430. mean(B216) → C216
  431. Sample(X, n) → B217
  432. mean(B217) → C217
  433. Sample(X, n) → B218
  434. mean(B218) → C218
  435. Sample(X, n) → B219
  436. mean(B219) → C219
  437. Sample(X, n) → B220
  438. mean(B220) → C220
  439. Sample(X, n) → B221
  440. mean(B221) → C221
  441. Sample(X, n) → B222
  442. mean(B222) → C222
  443. Sample(X, n) → B223
  444. mean(B223) → C223
  445. Sample(X, n) → B224
  446. mean(B224) → C224
  447. Sample(X, n) → B225
  448. mean(B225) → C225
  449. Sample(X, n) → B226
  450. mean(B226) → C226
  451. Sample(X, n) → B227
  452. mean(B227) → C227
  453. Sample(X, n) → B228
  454. mean(B228) → C228
  455. Sample(X, n) → B229
  456. mean(B229) → C229
  457. Sample(X, n) → B230
  458. mean(B230) → C230
  459. Sample(X, n) → B231
  460. mean(B231) → C231
  461. Sample(X, n) → B232
  462. mean(B232) → C232
  463. Sample(X, n) → B233
  464. mean(B233) → C233
  465. Sample(X, n) → B234
  466. mean(B234) → C234
  467. Sample(X, n) → B235
  468. mean(B235) → C235
  469. Sample(X, n) → B236
  470. mean(B236) → C236
  471. Sample(X, n) → B237
  472. mean(B237) → C237
  473. Sample(X, n) → B238
  474. mean(B238) → C238
  475. Sample(X, n) → B239
  476. mean(B239) → C239
  477. Sample(X, n) → B240
  478. mean(B240) → C240
  479. Sample(X, n) → B241
  480. mean(B241) → C241
  481. Sample(X, n) → B242
  482. mean(B242) → C242
  483. Sample(X, n) → B243
  484. mean(B243) → C243
  485. Sample(X, n) → B244
  486. mean(B244) → C244
  487. Sample(X, n) → B245
  488. mean(B245) → C245
  489. Sample(X, n) → B246
  490. mean(B246) → C246
  491. Sample(X, n) → B247
  492. mean(B247) → C247
  493. Sample(X, n) → B248
  494. mean(B248) → C248
  495. Sample(X, n) → B249
  496. mean(B249) → C249
  497. Sample(X, n) → B250
  498. mean(B250) → C250
  499. Sample(X, n) → B251
  500. mean(B251) → C251
  501. Sample(X, n) → B252
  502. mean(B252) → C252
  503. Sample(X, n) → B253
  504. mean(B253) → C253
  505. Sample(X, n) → B254
  506. mean(B254) → C254
  507. Sample(X, n) → B255
  508. mean(B255) → C255
  509. Sample(X, n) → B256
  510. mean(B256) → C256
  511. Sample(X, n) → B257
  512. mean(B257) → C257
  513. Sample(X, n) → B258
  514. mean(B258) → C258
  515. Sample(X, n) → B259
  516. mean(B259) → C259
  517. Sample(X, n) → B260
  518. mean(B260) → C260
  519. Sample(X, n) → B261
  520. mean(B261) → C261
  521. Sample(X, n) → B262
  522. mean(B262) → C262
  523. Sample(X, n) → B263
  524. mean(B263) → C263
  525. Sample(X, n) → B264
  526. mean(B264) → C264
  527. Sample(X, n) → B265
  528. mean(B265) → C265
  529. Sample(X, n) → B266
  530. mean(B266) → C266
  531. Sample(X, n) → B267
  532. mean(B267) → C267
  533. Sample(X, n) → B268
  534. mean(B268) → C268
  535. Sample(X, n) → B269
  536. mean(B269) → C269
  537. Sample(X, n) → B270
  538. mean(B270) → C270
  539. Sample(X, n) → B271
  540. mean(B271) → C271
  541. Sample(X, n) → B272
  542. mean(B272) → C272
  543. Sample(X, n) → B273
  544. mean(B273) → C273
  545. Sample(X, n) → B274
  546. mean(B274) → C274
  547. Sample(X, n) → B275
  548. mean(B275) → C275
  549. Sample(X, n) → B276
  550. mean(B276) → C276
  551. Sample(X, n) → B277
  552. mean(B277) → C277
  553. Sample(X, n) → B278
  554. mean(B278) → C278
  555. Sample(X, n) → B279
  556. mean(B279) → C279
  557. Sample(X, n) → B280
  558. mean(B280) → C280
  559. Sample(X, n) → B281
  560. mean(B281) → C281
  561. Sample(X, n) → B282
  562. mean(B282) → C282
  563. Sample(X, n) → B283
  564. mean(B283) → C283
  565. Sample(X, n) → B284
  566. mean(B284) → C284
  567. Sample(X, n) → B285
  568. mean(B285) → C285
  569. Sample(X, n) → B286
  570. mean(B286) → C286
  571. Sample(X, n) → B287
  572. mean(B287) → C287
  573. Sample(X, n) → B288
  574. mean(B288) → C288
  575. Sample(X, n) → B289
  576. mean(B289) → C289
  577. Sample(X, n) → B290
  578. mean(B290) → C290
  579. Sample(X, n) → B291
  580. mean(B291) → C291
  581. Sample(X, n) → B292
  582. mean(B292) → C292
  583. Sample(X, n) → B293
  584. mean(B293) → C293
  585. Sample(X, n) → B294
  586. mean(B294) → C294
  587. Sample(X, n) → B295
  588. mean(B295) → C295
  589. Sample(X, n) → B296
  590. mean(B296) → C296
  591. Sample(X, n) → B297
  592. mean(B297) → C297
  593. Sample(X, n) → B298
  594. mean(B298) → C298
  595. Sample(X, n) → B299
  596. mean(B299) → C299
  597. Sample(X, n) → B300
  598. mean(B300) → C300
  599. Sample(X, n) → B301
  600. mean(B301) → C301
  601. Sample(X, n) → B302
  602. mean(B302) → C302
  603. Sample(X, n) → B303
  604. mean(B303) → C303
  605. Sample(X, n) → B304
  606. mean(B304) → C304
  607. Sample(X, n) → B305
  608. mean(B305) → C305
  609. Sample(X, n) → B306
  610. mean(B306) → C306
  611. Sample(X, n) → B307
  612. mean(B307) → C307
  613. Sample(X, n) → B308
  614. mean(B308) → C308
  615. Sample(X, n) → B309
  616. mean(B309) → C309
  617. Sample(X, n) → B310
  618. mean(B310) → C310
  619. Sample(X, n) → B311
  620. mean(B311) → C311
  621. Sample(X, n) → B312
  622. mean(B312) → C312
  623. Sample(X, n) → B313
  624. mean(B313) → C313
  625. Sample(X, n) → B314
  626. mean(B314) → C314
  627. Sample(X, n) → B315
  628. mean(B315) → C315
  629. Sample(X, n) → B316
  630. mean(B316) → C316
  631. Sample(X, n) → B317
  632. mean(B317) → C317
  633. Sample(X, n) → B318
  634. mean(B318) → C318
  635. Sample(X, n) → B319
  636. mean(B319) → C319
  637. Sample(X, n) → B320
  638. mean(B320) → C320
  639. Sample(X, n) → B321
  640. mean(B321) → C321
  641. Sample(X, n) → B322
  642. mean(B322) → C322
  643. Sample(X, n) → B323
  644. mean(B323) → C323
  645. Sample(X, n) → B324
  646. mean(B324) → C324
  647. Sample(X, n) → B325
  648. mean(B325) → C325
  649. Sample(X, n) → B326
  650. mean(B326) → C326
  651. Sample(X, n) → B327
  652. mean(B327) → C327
  653. Sample(X, n) → B328
  654. mean(B328) → C328
  655. Sample(X, n) → B329
  656. mean(B329) → C329
  657. Sample(X, n) → B330
  658. mean(B330) → C330
  659. Sample(X, n) → B331
  660. mean(B331) → C331
  661. Sample(X, n) → B332
  662. mean(B332) → C332
  663. Sample(X, n) → B333
  664. mean(B333) → C333
  665. Sample(X, n) → B334
  666. mean(B334) → C334
  667. Sample(X, n) → B335
  668. mean(B335) → C335
  669. Sample(X, n) → B336
  670. mean(B336) → C336
  671. Sample(X, n) → B337
  672. mean(B337) → C337
  673. Sample(X, n) → B338
  674. mean(B338) → C338
  675. Sample(X, n) → B339
  676. mean(B339) → C339
  677. Sample(X, n) → B340
  678. mean(B340) → C340
  679. Sample(X, n) → B341
  680. mean(B341) → C341
  681. Sample(X, n) → B342
  682. mean(B342) → C342
  683. Sample(X, n) → B343
  684. mean(B343) → C343
  685. Sample(X, n) → B344
  686. mean(B344) → C344
  687. Sample(X, n) → B345
  688. mean(B345) → C345
  689. Sample(X, n) → B346
  690. mean(B346) → C346
  691. Sample(X, n) → B347
  692. mean(B347) → C347
  693. Sample(X, n) → B348
  694. mean(B348) → C348
  695. Sample(X, n) → B349
  696. mean(B349) → C349
  697. Sample(X, n) → B350
  698. mean(B350) → C350
  699. Sample(X, n) → B351
  700. mean(B351) → C351
  701. Sample(X, n) → B352
  702. mean(B352) → C352
  703. Sample(X, n) → B353
  704. mean(B353) → C353
  705. Sample(X, n) → B354
  706. mean(B354) → C354
  707. Sample(X, n) → B355
  708. mean(B355) → C355
  709. Sample(X, n) → B356
  710. mean(B356) → C356
  711. Sample(X, n) → B357
  712. mean(B357) → C357
  713. Sample(X, n) → B358
  714. mean(B358) → C358
  715. Sample(X, n) → B359
  716. mean(B359) → C359
  717. Sample(X, n) → B360
  718. mean(B360) → C360
  719. Sample(X, n) → B361
  720. mean(B361) → C361
  721. Sample(X, n) → B362
  722. mean(B362) → C362
  723. Sample(X, n) → B363
  724. mean(B363) → C363
  725. Sample(X, n) → B364
  726. mean(B364) → C364
  727. Sample(X, n) → B365
  728. mean(B365) → C365
  729. Sample(X, n) → l1
  730. mean(B351) → a
  731. Take(C2:C350, 1, t) → m_i
  732. mean(m_i) → mbar
  733. stdev(m_i) → s_m
  734. Histogram(Classes[m_i, 1 + round(ld(t))], m_i, true, 1 / t) → h
  735. BoxPlot(-0.3, 0.2, m_i, true) → bp
  736. NormalQuantilePlot(m_i) → nqp
  737. Normal(mean[X], stdev[X] / sqrt(n), x, false) → f
  738. DotPlot(m_i, true) → l2

AI Drawing Prompt Reference

Illustrate the Central Limit Theorem by averaging dice throws multiple times and observing how the sample mean distribution approaches a normal distribution. Use histograms and box plots to visualize the sample means, and overlay normal distribution curves and dot plots to show the trend, aiding in understanding probability, statistics, and geometric mean.
The prompt above was compiled from the original drawing commands and is for reference only.