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均值置信区间演示

均值置信区间演示
几何画板及绘图内容加载中，请稍等……
2020-03-10 15:18
概率统计最值优化函数图像
①本范例演示了如何通过随机抽样构建均值的置信区间；②涉及核心数学概念包括置信区间、正态分布、样本均值、概率面积计算；③作图要点：使用 RandomNormal 生成正态分布随机数，Sum 和 Sample 计算样本和，Textfield 显示结果，Segment 绘制区间；④适合高中及以上学生及需要理解统计推断的教师使用。

GeoGebra 命令及参数

  1. RandomNormal(0, 1) → A500
  2. RandomNormal(0, 1) → A499
  3. RandomNormal(0, 1) → A498
  4. RandomNormal(0, 1) → A497
  5. RandomNormal(0, 1) → A496
  6. RandomNormal(0, 1) → A495
  7. RandomNormal(0, 1) → A494
  8. RandomNormal(0, 1) → A493
  9. RandomNormal(0, 1) → A492
  10. RandomNormal(0, 1) → A491
  11. RandomNormal(0, 1) → A490
  12. RandomNormal(0, 1) → A489
  13. RandomNormal(0, 1) → A488
  14. RandomNormal(0, 1) → A487
  15. RandomNormal(0, 1) → A486
  16. RandomNormal(0, 1) → A485
  17. RandomNormal(0, 1) → A484
  18. RandomNormal(0, 1) → A483
  19. RandomNormal(0, 1) → A482
  20. RandomNormal(0, 1) → A481
  21. RandomNormal(0, 1) → A480
  22. RandomNormal(0, 1) → A479
  23. RandomNormal(0, 1) → A478
  24. RandomNormal(0, 1) → A477
  25. RandomNormal(0, 1) → A476
  26. RandomNormal(0, 1) → A475
  27. RandomNormal(0, 1) → A474
  28. RandomNormal(0, 1) → A473
  29. RandomNormal(0, 1) → A472
  30. RandomNormal(0, 1) → A471
  31. RandomNormal(0, 1) → A470
  32. RandomNormal(0, 1) → A469
  33. RandomNormal(0, 1) → A468
  34. RandomNormal(0, 1) → A467
  35. RandomNormal(0, 1) → A466
  36. RandomNormal(0, 1) → A465
  37. RandomNormal(0, 1) → A464
  38. RandomNormal(0, 1) → A463
  39. RandomNormal(0, 1) → A462
  40. RandomNormal(0, 1) → A461
  41. RandomNormal(0, 1) → A460
  42. RandomNormal(0, 1) → A459
  43. RandomNormal(0, 1) → A458
  44. RandomNormal(0, 1) → A457
  45. RandomNormal(0, 1) → A456
  46. RandomNormal(0, 1) → A455
  47. RandomNormal(0, 1) → A454
  48. RandomNormal(0, 1) → A453
  49. RandomNormal(0, 1) → A452
  50. RandomNormal(0, 1) → A451
  51. RandomNormal(0, 1) → A450
  52. RandomNormal(0, 1) → A449
  53. RandomNormal(0, 1) → A448
  54. RandomNormal(0, 1) → A447
  55. RandomNormal(0, 1) → A446
  56. RandomNormal(0, 1) → A445
  57. RandomNormal(0, 1) → A444
  58. RandomNormal(0, 1) → A443
  59. RandomNormal(0, 1) → A442
  60. RandomNormal(0, 1) → A441
  61. RandomNormal(0, 1) → A440
  62. RandomNormal(0, 1) → A439
  63. RandomNormal(0, 1) → A438
  64. RandomNormal(0, 1) → A437
  65. RandomNormal(0, 1) → A436
  66. RandomNormal(0, 1) → A435
  67. RandomNormal(0, 1) → A434
  68. RandomNormal(0, 1) → A433
  69. RandomNormal(0, 1) → A432
  70. RandomNormal(0, 1) → A431
  71. RandomNormal(0, 1) → A430
  72. RandomNormal(0, 1) → A429
  73. RandomNormal(0, 1) → A428
  74. RandomNormal(0, 1) → A427
  75. RandomNormal(0, 1) → A426
  76. RandomNormal(0, 1) → A425
  77. RandomNormal(0, 1) → A424
  78. RandomNormal(0, 1) → A423
  79. RandomNormal(0, 1) → A422
  80. RandomNormal(0, 1) → A421
  81. RandomNormal(0, 1) → A420
  82. RandomNormal(0, 1) → A419
  83. RandomNormal(0, 1) → A418
  84. RandomNormal(0, 1) → A417
  85. RandomNormal(0, 1) → A416
  86. RandomNormal(0, 1) → A415
  87. RandomNormal(0, 1) → A414
  88. RandomNormal(0, 1) → A413
  89. RandomNormal(0, 1) → A412
  90. RandomNormal(0, 1) → A411
  91. RandomNormal(0, 1) → A410
  92. RandomNormal(0, 1) → A409
  93. RandomNormal(0, 1) → A408
  94. RandomNormal(0, 1) → A407
  95. RandomNormal(0, 1) → A406
  96. RandomNormal(0, 1) → A405
  97. RandomNormal(0, 1) → A404
  98. RandomNormal(0, 1) → A403
  99. RandomNormal(0, 1) → A402
  100. RandomNormal(0, 1) → A401
  101. RandomNormal(0, 1) → A400
  102. RandomNormal(0, 1) → A399
  103. RandomNormal(0, 1) → A398
  104. RandomNormal(0, 1) → A397
  105. RandomNormal(0, 1) → A396
  106. RandomNormal(0, 1) → A395
  107. RandomNormal(0, 1) → A394
  108. RandomNormal(0, 1) → A393
  109. RandomNormal(0, 1) → A392
  110. RandomNormal(0, 1) → A391
  111. RandomNormal(0, 1) → A390
  112. RandomNormal(0, 1) → A389
  113. RandomNormal(0, 1) → A388
  114. RandomNormal(0, 1) → A387
  115. RandomNormal(0, 1) → A386
  116. RandomNormal(0, 1) → A385
  117. RandomNormal(0, 1) → A384
  118. RandomNormal(0, 1) → A383
  119. RandomNormal(0, 1) → A382
  120. RandomNormal(0, 1) → A381
  121. RandomNormal(0, 1) → A380
  122. RandomNormal(0, 1) → A379
  123. RandomNormal(0, 1) → A378
  124. RandomNormal(0, 1) → A377
  125. RandomNormal(0, 1) → A376
  126. RandomNormal(0, 1) → A375
  127. RandomNormal(0, 1) → A374
  128. RandomNormal(0, 1) → A373
  129. RandomNormal(0, 1) → A372
  130. RandomNormal(0, 1) → A371
  131. RandomNormal(0, 1) → A370
  132. RandomNormal(0, 1) → A369
  133. RandomNormal(0, 1) → A368
  134. RandomNormal(0, 1) → A367
  135. RandomNormal(0, 1) → A366
  136. RandomNormal(0, 1) → A365
  137. RandomNormal(0, 1) → A364
  138. RandomNormal(0, 1) → A363
  139. RandomNormal(0, 1) → A362
  140. RandomNormal(0, 1) → A361
  141. RandomNormal(0, 1) → A360
  142. RandomNormal(0, 1) → A359
  143. RandomNormal(0, 1) → A358
  144. RandomNormal(0, 1) → A357
  145. RandomNormal(0, 1) → A356
  146. RandomNormal(0, 1) → A355
  147. RandomNormal(0, 1) → A354
  148. RandomNormal(0, 1) → A353
  149. RandomNormal(0, 1) → A352
  150. RandomNormal(0, 1) → A351
  151. RandomNormal(0, 1) → A350
  152. RandomNormal(0, 1) → A349
  153. RandomNormal(0, 1) → A348
  154. RandomNormal(0, 1) → A347
  155. RandomNormal(0, 1) → A346
  156. RandomNormal(0, 1) → A345
  157. RandomNormal(0, 1) → A344
  158. RandomNormal(0, 1) → A343
  159. RandomNormal(0, 1) → A342
  160. RandomNormal(0, 1) → A341
  161. RandomNormal(0, 1) → A340
  162. RandomNormal(0, 1) → A339
  163. RandomNormal(0, 1) → A338
  164. RandomNormal(0, 1) → A337
  165. RandomNormal(0, 1) → A336
  166. RandomNormal(0, 1) → A335
  167. RandomNormal(0, 1) → A334
  168. RandomNormal(0, 1) → A333
  169. RandomNormal(0, 1) → A332
  170. RandomNormal(0, 1) → A331
  171. RandomNormal(0, 1) → A330
  172. RandomNormal(0, 1) → A329
  173. RandomNormal(0, 1) → A328
  174. RandomNormal(0, 1) → A327
  175. RandomNormal(0, 1) → A326
  176. RandomNormal(0, 1) → A325
  177. RandomNormal(0, 1) → A324
  178. RandomNormal(0, 1) → A323
  179. RandomNormal(0, 1) → A322
  180. RandomNormal(0, 1) → A321
  181. RandomNormal(0, 1) → A320
  182. RandomNormal(0, 1) → A319
  183. RandomNormal(0, 1) → A318
  184. RandomNormal(0, 1) → A317
  185. RandomNormal(0, 1) → A316
  186. RandomNormal(0, 1) → A315
  187. RandomNormal(0, 1) → A314
  188. RandomNormal(0, 1) → A313
  189. RandomNormal(0, 1) → A312
  190. RandomNormal(0, 1) → A311
  191. RandomNormal(0, 1) → A310
  192. RandomNormal(0, 1) → A309
  193. RandomNormal(0, 1) → A308
  194. RandomNormal(0, 1) → A307
  195. RandomNormal(0, 1) → A306
  196. RandomNormal(0, 1) → A305
  197. RandomNormal(0, 1) → A304
  198. RandomNormal(0, 1) → A303
  199. RandomNormal(0, 1) → A302
  200. RandomNormal(0, 1) → A301
  201. RandomNormal(0, 1) → A300
  202. RandomNormal(0, 1) → A299
  203. RandomNormal(0, 1) → A298
  204. RandomNormal(0, 1) → A297
  205. RandomNormal(0, 1) → A296
  206. RandomNormal(0, 1) → A295
  207. RandomNormal(0, 1) → A294
  208. RandomNormal(0, 1) → A293
  209. RandomNormal(0, 1) → A292
  210. RandomNormal(0, 1) → A291
  211. RandomNormal(0, 1) → A290
  212. RandomNormal(0, 1) → A289
  213. RandomNormal(0, 1) → A288
  214. RandomNormal(0, 1) → A287
  215. RandomNormal(0, 1) → A286
  216. RandomNormal(0, 1) → A285
  217. RandomNormal(0, 1) → A284
  218. RandomNormal(0, 1) → A283
  219. RandomNormal(0, 1) → A282
  220. RandomNormal(0, 1) → A281
  221. RandomNormal(0, 1) → A280
  222. RandomNormal(0, 1) → A279
  223. RandomNormal(0, 1) → A278
  224. RandomNormal(0, 1) → A277
  225. RandomNormal(0, 1) → A276
  226. RandomNormal(0, 1) → A275
  227. RandomNormal(0, 1) → A274
  228. RandomNormal(0, 1) → A273
  229. RandomNormal(0, 1) → A272
  230. RandomNormal(0, 1) → A271
  231. RandomNormal(0, 1) → A270
  232. RandomNormal(0, 1) → A269
  233. RandomNormal(0, 1) → A268
  234. RandomNormal(0, 1) → A267
  235. RandomNormal(0, 1) → A266
  236. RandomNormal(0, 1) → A265
  237. RandomNormal(0, 1) → A264
  238. RandomNormal(0, 1) → A263
  239. RandomNormal(0, 1) → A262
  240. RandomNormal(0, 1) → A261
  241. RandomNormal(0, 1) → A260
  242. RandomNormal(0, 1) → A259
  243. RandomNormal(0, 1) → A258
  244. RandomNormal(0, 1) → A257
  245. RandomNormal(0, 1) → A256
  246. RandomNormal(0, 1) → A255
  247. RandomNormal(0, 1) → A254
  248. RandomNormal(0, 1) → A253
  249. RandomNormal(0, 1) → A252
  250. RandomNormal(0, 1) → A251
  251. RandomNormal(0, 1) → A250
  252. RandomNormal(0, 1) → A249
  253. RandomNormal(0, 1) → A248
  254. RandomNormal(0, 1) → A247
  255. RandomNormal(0, 1) → A246
  256. RandomNormal(0, 1) → A245
  257. RandomNormal(0, 1) → A244
  258. RandomNormal(0, 1) → A243
  259. RandomNormal(0, 1) → A242
  260. RandomNormal(0, 1) → A241
  261. RandomNormal(0, 1) → A240
  262. RandomNormal(0, 1) → A239
  263. RandomNormal(0, 1) → A238
  264. RandomNormal(0, 1) → A237
  265. RandomNormal(0, 1) → A236
  266. RandomNormal(0, 1) → A235
  267. RandomNormal(0, 1) → A234
  268. RandomNormal(0, 1) → A233
  269. RandomNormal(0, 1) → A232
  270. RandomNormal(0, 1) → A231
  271. RandomNormal(0, 1) → A230
  272. RandomNormal(0, 1) → A229
  273. RandomNormal(0, 1) → A228
  274. RandomNormal(0, 1) → A227
  275. RandomNormal(0, 1) → A226
  276. RandomNormal(0, 1) → A225
  277. RandomNormal(0, 1) → A224
  278. RandomNormal(0, 1) → A223
  279. RandomNormal(0, 1) → A222
  280. RandomNormal(0, 1) → A221
  281. RandomNormal(0, 1) → A220
  282. RandomNormal(0, 1) → A219
  283. RandomNormal(0, 1) → A218
  284. RandomNormal(0, 1) → A217
  285. RandomNormal(0, 1) → A216
  286. RandomNormal(0, 1) → A215
  287. RandomNormal(0, 1) → A214
  288. RandomNormal(0, 1) → A213
  289. RandomNormal(0, 1) → A212
  290. RandomNormal(0, 1) → A211
  291. RandomNormal(0, 1) → A210
  292. RandomNormal(0, 1) → A209
  293. RandomNormal(0, 1) → A208
  294. RandomNormal(0, 1) → A207
  295. RandomNormal(0, 1) → A206
  296. RandomNormal(0, 1) → A205
  297. RandomNormal(0, 1) → A204
  298. RandomNormal(0, 1) → A203
  299. RandomNormal(0, 1) → A202
  300. RandomNormal(0, 1) → A201
  301. RandomNormal(0, 1) → A200
  302. RandomNormal(0, 1) → A199
  303. RandomNormal(0, 1) → A198
  304. RandomNormal(0, 1) → A197
  305. RandomNormal(0, 1) → A196
  306. RandomNormal(0, 1) → A195
  307. RandomNormal(0, 1) → A194
  308. RandomNormal(0, 1) → A193
  309. RandomNormal(0, 1) → A192
  310. RandomNormal(0, 1) → A191
  311. RandomNormal(0, 1) → A190
  312. RandomNormal(0, 1) → A189
  313. RandomNormal(0, 1) → A188
  314. RandomNormal(0, 1) → A187
  315. RandomNormal(0, 1) → A186
  316. RandomNormal(0, 1) → A185
  317. RandomNormal(0, 1) → A184
  318. RandomNormal(0, 1) → A183
  319. RandomNormal(0, 1) → A182
  320. RandomNormal(0, 1) → A181
  321. RandomNormal(0, 1) → A180
  322. RandomNormal(0, 1) → A179
  323. RandomNormal(0, 1) → A178
  324. RandomNormal(0, 1) → A177
  325. RandomNormal(0, 1) → A176
  326. RandomNormal(0, 1) → A175
  327. RandomNormal(0, 1) → A174
  328. RandomNormal(0, 1) → A173
  329. RandomNormal(0, 1) → A172
  330. RandomNormal(0, 1) → A171
  331. RandomNormal(0, 1) → A170
  332. RandomNormal(0, 1) → A169
  333. RandomNormal(0, 1) → A168
  334. RandomNormal(0, 1) → A167
  335. RandomNormal(0, 1) → A166
  336. RandomNormal(0, 1) → A165
  337. RandomNormal(0, 1) → A164
  338. RandomNormal(0, 1) → A163
  339. RandomNormal(0, 1) → A162
  340. RandomNormal(0, 1) → A161
  341. RandomNormal(0, 1) → A160
  342. RandomNormal(0, 1) → A159
  343. RandomNormal(0, 1) → A158
  344. RandomNormal(0, 1) → A157
  345. RandomNormal(0, 1) → A156
  346. RandomNormal(0, 1) → A155
  347. RandomNormal(0, 1) → A154
  348. RandomNormal(0, 1) → A153
  349. RandomNormal(0, 1) → A152
  350. RandomNormal(0, 1) → A151
  351. RandomNormal(0, 1) → A150
  352. RandomNormal(0, 1) → A149
  353. RandomNormal(0, 1) → A148
  354. RandomNormal(0, 1) → A147
  355. RandomNormal(0, 1) → A146
  356. RandomNormal(0, 1) → A145
  357. RandomNormal(0, 1) → A144
  358. RandomNormal(0, 1) → A143
  359. RandomNormal(0, 1) → A142
  360. RandomNormal(0, 1) → A141
  361. RandomNormal(0, 1) → A140
  362. RandomNormal(0, 1) → A139
  363. RandomNormal(0, 1) → A138
  364. RandomNormal(0, 1) → A137
  365. RandomNormal(0, 1) → A136
  366. RandomNormal(0, 1) → A135
  367. RandomNormal(0, 1) → A134
  368. RandomNormal(0, 1) → A133
  369. RandomNormal(0, 1) → A132
  370. RandomNormal(0, 1) → A131
  371. RandomNormal(0, 1) → A130
  372. RandomNormal(0, 1) → A129
  373. RandomNormal(0, 1) → A128
  374. RandomNormal(0, 1) → A127
  375. RandomNormal(0, 1) → A126
  376. RandomNormal(0, 1) → A125
  377. RandomNormal(0, 1) → A124
  378. RandomNormal(0, 1) → A123
  379. RandomNormal(0, 1) → A122
  380. RandomNormal(0, 1) → A121
  381. RandomNormal(0, 1) → A120
  382. RandomNormal(0, 1) → A119
  383. RandomNormal(0, 1) → A118
  384. RandomNormal(0, 1) → A117
  385. RandomNormal(0, 1) → A116
  386. RandomNormal(0, 1) → A115
  387. RandomNormal(0, 1) → A114
  388. RandomNormal(0, 1) → A113
  389. RandomNormal(0, 1) → A112
  390. RandomNormal(0, 1) → A111
  391. RandomNormal(0, 1) → A110
  392. RandomNormal(0, 1) → A109
  393. RandomNormal(0, 1) → A108
  394. RandomNormal(0, 1) → A107
  395. RandomNormal(0, 1) → A106
  396. RandomNormal(0, 1) → A105
  397. RandomNormal(0, 1) → A104
  398. RandomNormal(0, 1) → A103
  399. RandomNormal(0, 1) → A102
  400. RandomNormal(0, 1) → A101
  401. RandomNormal(0, 1) → A100
  402. RandomNormal(0, 1) → A99
  403. RandomNormal(0, 1) → A98
  404. RandomNormal(0, 1) → A97
  405. RandomNormal(0, 1) → A96
  406. RandomNormal(0, 1) → A95
  407. RandomNormal(0, 1) → A94
  408. RandomNormal(0, 1) → A93
  409. RandomNormal(0, 1) → A92
  410. RandomNormal(0, 1) → A91
  411. RandomNormal(0, 1) → A90
  412. RandomNormal(0, 1) → A89
  413. RandomNormal(0, 1) → A88
  414. RandomNormal(0, 1) → A87
  415. RandomNormal(0, 1) → A86
  416. RandomNormal(0, 1) → A85
  417. RandomNormal(0, 1) → A84
  418. RandomNormal(0, 1) → A83
  419. RandomNormal(0, 1) → A82
  420. RandomNormal(0, 1) → A81
  421. RandomNormal(0, 1) → A80
  422. RandomNormal(0, 1) → A79
  423. RandomNormal(0, 1) → A78
  424. RandomNormal(0, 1) → A77
  425. RandomNormal(0, 1) → A76
  426. RandomNormal(0, 1) → A75
  427. RandomNormal(0, 1) → A74
  428. RandomNormal(0, 1) → A73
  429. RandomNormal(0, 1) → A72
  430. RandomNormal(0, 1) → A71
  431. RandomNormal(0, 1) → A70
  432. RandomNormal(0, 1) → A69
  433. RandomNormal(0, 1) → A68
  434. RandomNormal(0, 1) → A67
  435. RandomNormal(0, 1) → A66
  436. RandomNormal(0, 1) → A65
  437. RandomNormal(0, 1) → A64
  438. RandomNormal(0, 1) → A63
  439. RandomNormal(0, 1) → A62
  440. RandomNormal(0, 1) → A61
  441. RandomNormal(0, 1) → A60
  442. RandomNormal(0, 1) → A59
  443. RandomNormal(0, 1) → A58
  444. RandomNormal(0, 1) → A57
  445. RandomNormal(0, 1) → A56
  446. RandomNormal(0, 1) → A55
  447. RandomNormal(0, 1) → A54
  448. RandomNormal(0, 1) → A53
  449. RandomNormal(0, 1) → A52
  450. RandomNormal(0, 1) → A51
  451. RandomNormal(0, 1) → A50
  452. RandomNormal(0, 1) → A49
  453. RandomNormal(0, 1) → A48
  454. RandomNormal(0, 1) → A47
  455. RandomNormal(0, 1) → A46
  456. RandomNormal(0, 1) → A45
  457. RandomNormal(0, 1) → A44
  458. RandomNormal(0, 1) → A43
  459. RandomNormal(0, 1) → A42
  460. RandomNormal(0, 1) → A41
  461. RandomNormal(0, 1) → A40
  462. RandomNormal(0, 1) → A39
  463. RandomNormal(0, 1) → A38
  464. RandomNormal(0, 1) → A37
  465. RandomNormal(0, 1) → A36
  466. RandomNormal(0, 1) → A35
  467. RandomNormal(0, 1) → A34
  468. RandomNormal(0, 1) → A33
  469. RandomNormal(0, 1) → A32
  470. RandomNormal(0, 1) → A31
  471. RandomNormal(0, 1) → A30
  472. RandomNormal(0, 1) → A29
  473. RandomNormal(0, 1) → A28
  474. RandomNormal(0, 1) → A27
  475. RandomNormal(0, 1) → A26
  476. RandomNormal(0, 1) → A25
  477. RandomNormal(0, 1) → A24
  478. RandomNormal(0, 1) → A23
  479. RandomNormal(0, 1) → A22
  480. RandomNormal(0, 1) → A21
  481. RandomNormal(0, 1) → A20
  482. RandomNormal(0, 1) → A19
  483. RandomNormal(0, 1) → A18
  484. RandomNormal(0, 1) → A17
  485. RandomNormal(0, 1) → A16
  486. RandomNormal(0, 1) → A15
  487. RandomNormal(0, 1) → A14
  488. RandomNormal(0, 1) → A13
  489. RandomNormal(0, 1) → A12
  490. RandomNormal(0, 1) → A11
  491. RandomNormal(0, 1) → A10
  492. RandomNormal(0, 1) → A9
  493. RandomNormal(0, 1) → A8
  494. RandomNormal(0, 1) → A7
  495. RandomNormal(0, 1) → A6
  496. RandomNormal(0, 1) → A5
  497. RandomNormal(0, 1) → A4
  498. RandomNormal(0, 1) → A3
  499. RandomNormal(0, 1) → A2
  500. RandomNormal(0, 1) → A1
  501. Sum({2, 1, n}) → a
  502. Sum((k * RandomNormal[μ, σ] / k), k, 1, n) → b
  503. Sample(L, n) → S
  504. Textfield(σ) → InputBox1
  505. Segment(A, B) → h

AI 绘图提示语参考

生成一个展示正态分布随机样本的图形，包含多个从均值为0、标准差为1的正态分布中抽取的样本点，用线段连接这些点形成区间，并标注计算出的样本均值和置信区间，以可视化方式展示概率面积和统计推断概念。
以上提示语为根据原始绘图命令整理而来，仅供参考。