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					                                               Trang 472


        A          B          C          D          E
 1
 2     0.5936     0.7360     0.1083     0.8981 <-- Rand()
 3     0.0125     0.8725     0.1049     0.0447
 4     0.6793     0.4677     0.0141     0.5031
 5     0.6174     0.4229     0.2695     0.3174
 6     0.0168     0.8481     0.1449     0.0861
 7     0.1965     0.9359     0.1401     0.5030
 8     0.6767     0.3862     0.2800     0.8391
 9     0.3669     0.6011     0.1237     0.4956
10     0.7236     0.1929     0.0777     0.3574
11
12 Mỗi ô đều chứa công thức =Rand( )
13 Bất cứ khi nào bạn nhấn phím F9 thì
14 Excel sẽ cho ra một tập hơp các con số ngẫu nhiên mới




                                                 Page 1
                                             UN-18A


      A              B                C          D          E         F   G      H
 1        Random List đơn giản nhất
 2        Để kích hoạt VBA "randomlist": nhấn [Ctrl]+q
 3
 4 Runs                        10                                             VBA code có thể được tìm
 5
 6        Output
 7                  0.223261774 <-- Ô này được đặt tên là "output,"
 8                  0.584529281    và tên này được sử dụng trong
 9                  0.363458693    VBA với vai trò là xoá đi các
10                  0.875974655    kết quả trước đó
11                  0.478014171
12                  0.190633416
13                  0.684062302
14                  0.747415781
15                  0.613934934
16                  0.782138705
                                                    UN-18A


              I         J         K         L         M
       1
       2
       3
VBA code có thể được tìm thấy bằng cách nhấn [Alt]+F11)
       4
       5
       6
       7
       8
       9
      10
      11
      12
      13
      14
      15
      16
                                                UN-18B


                            A                            B   C        D         E
 1 Sử dụng hàm frequency trong excel
 2
 3                      Các con số
 4                      ngẫu nhiên                           Bin   Frequency
 5                           ?                               0.1       ?
 6                           ?                               0.2       ?
 7                           ?                               0.3       ?
 8                           ?                               0.4       ?
 9                           ?                               0.5       ?     <-- =FREQUENCY(A5:A14,C5:
10                           ?                               0.6       ?
11                           ?                               0.7       ?
12                           ?                               0.8       ?
13                           ?                               0.9       ?
14                           ?                                1        ?
15
16 Mỗi một cell trong mảng A5:A14 chứa công thức
17 Rand(). Nhấn phím F9 chúng ta sẽ được
18 các con số ngẫu nhiên mới và kết quả tần suất mới
                                    UN-18B


             F        G         H
        1
        2
        3
        4
        5
        6
        7
        8
        9
<-- =FREQUENCY(A5:A14,C5:C14)
       10
       11
       12
       13
       14
       15
       16
       17
       18
                                                                                                      UN-18C


       A         B              C         D                                      E            F                G                 H           I            J
 1          Các con số phân phối ngẫu nhiên đồng dạng
 2                               Sừ dụng hàm Rnd của VBA
 3                   Để chạy chương trình "uniformrandom", sử dụng [ctl]+a
 4
 5 Runs         100,000
 6                                    Starttime                                20:08:26
 7    Bin      Output                 Stoptime                                 20:08:26
 8     1          9,912               Elapsed                                   0:00:00
 9     2          9,879
10     3          9,871
11     4         10,125
12     5         10,120
13     6         10,120                                                          Thiết lập các con số ngẫu nhiên bằng VBA
14     7          9,919
                                                                               10,400
15     8          9,934
16     9         10,157                       Số lượng các con số ngẫu nhiên   10,200
17    10          9,963                                                        10,000
18                                                                              9,800
19
                                                                                9,600
20
21                                                                              9,400
22                                                                              9,200
23                                                                              9,000
24                                                                                        1       2     3      4   5         6       7   8       9   10
25                                                                                                                     Bin
26
27
                                 Trang 476


                                               -0.30023
                                               -1.27768    Bin
                                               0.244257        -3
                                               1.276474      -2.9
                                                1.19835      -2.8
                                               1.733133      -2.7
                                               -2.18359      -2.6
                                               -0.23418      -2.5
                                               1.095023      -2.4
Để thay thế các con số ngẫu nhiên                -1.0867     -2.3
Tools|Data Analysis|Random Number Generation     -0.6902     -2.2
                                               -1.69043      -2.1
                                               -1.84691        -2
                                               -0.97763      -1.9
                                               -0.77351      -1.8
                                               -2.11793      -1.7
                                               -0.56792      -1.6
                                               -0.40405      -1.5
                                               0.134853      -1.4
                                               -0.36549      -1.3
                                               -0.32699      -1.2
                                               -0.37024      -1.1
                                               1.342642        -1
                                               -0.08528      -0.9
                                               -0.18616      -0.8
                                               -0.51321      -0.7
                                               1.972212      -0.6
                                               0.865673      -0.5
                                               2.375655      -0.4
                                               -0.65491      -0.3
                                               1.661456      -0.2
                                                 -1.6124     -0.1
                                               0.538948         0
                                               0.902191       0.1
                                               1.918916       0.2
                                               -0.08452       0.3
                                                 -0.5238      0.4
                                               0.675138       0.5
                                               -0.38132       0.6
                                               0.757611       0.7
                                               -1.44419       0.8
                                               -0.84724       0.9
                                               -1.52157         1
                                               -0.36288       1.1
                                               -0.03248       1.2
                                               0.028117       1.3
                                               -0.32272       1.4
                                               2.194502       1.5
                                               -1.74248       1.6
                                               -0.73648       1.7
                                               -2.57758       1.8
                                                1.44767       1.9


                                  Page 7
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            -1.27976             2
            -0.65358           2.1
            0.757714           2.2
            0.466712           2.3
            0.874609           2.4
            0.595742           2.5
            -1.37185           2.6
            -1.11574           2.7
            0.693994           2.8
            0.322636           2.9
            -0.93984             3
            -0.24095    More
            0.131536
            0.557798
            0.138715
            -0.91096
            1.884846
            0.487198
            0.072239
            0.829841
            0.862008
            -0.63653
            -0.92319
            1.111189
            -1.20118
            -1.55889
            0.711325
            0.638406
            2.205688
            1.443755
            1.303904
             0.11296
            0.001951
            0.453701
            -0.02551
            -1.05468
            -1.77481
            0.828331
            0.444224
            0.617906
            0.213473
            -1.02693
            1.238195
            -0.31121
            -0.83992
            -0.82113
            -0.42899
            -0.45336
              -0.5238
            0.849429
            0.513207
              -0.6083


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            1.304979
            -1.76094
            0.550572
            -0.11627
            0.041741
            -0.65405
            -0.54959
             0.84932
            0.803045
            0.456416
            0.691368
            1.630624
            0.303914
            0.588996
            1.852836
            -0.33556
            1.038275
            0.143505
            1.141041
              -0.1483
            -0.77982
            1.075994
            -0.58182
            0.533912
            0.545772
            -0.31644
            -0.44077
            -1.36599
            1.992958
            -0.56649
            0.086129
            -0.23426
            2.835368
            1.251979
            0.880907
            1.332164
            0.187871
            0.541958
            -0.24962
            -1.22109
            1.266685
            -0.28889
            -1.30588
            0.764254
            0.784282
            0.428155
            0.403882
              -0.6481
            0.723098
            0.525288
            1.075039
            -2.76945


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            0.463815
            1.467138
            -1.72258
            0.045494
            1.354033
            1.688204
            0.238665
            0.145051
            1.854542
            -0.04258
              -0.6569
            0.907376
            -0.00991
            1.039193
            0.434704
            1.453363
              -0.1212
            -0.96172
            -1.53859
            -2.56507
            0.103188
            0.299192
            -0.01779
            0.200499
            0.258233
            1.476174
            0.085284
            -1.11674
            -1.38991
            0.191453
            0.951081
            -1.50879
            -0.60996
            0.523532
            -0.21676
            -0.34358
            -0.16348
            -0.43967
            -0.80262
            0.644797
            0.058823
            1.263452
            0.262189
            0.057137
            0.226954
            0.214491
            -0.00746
            -1.22383
            0.235361
            0.148221
            0.752424
            -0.73618


Page 10
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            0.616425
            0.219111
            0.114346
            0.868124
            1.802837
            -1.30839
            -1.23425
            0.560033
            1.190699
              -0.8782
            -2.14538
            -0.89818
            0.201983
            0.429077
            -0.98494
            -0.85924
            0.461686
            0.121587
              -0.5401
            0.102496
              -0.9415
            -0.89532
            1.046571
             1.62659
            -0.67207
            -0.17193
             0.11273
             1.84481
            0.595012
            1.654803
            0.177058
            1.560184
            -0.64376
              -0.9661
            1.193971
            0.918751
            -1.72937
            1.271994
              -0.1998
              -1.1349
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            0.473376
            0.917701
            -0.06948
            -0.05384
            0.214648
            -0.35203
            0.928123
            -0.49427
            2.343477
            0.744024


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            0.610607
            -0.98109
            0.871696
            1.447233
            -0.73137
            -0.30111
            -1.33964
            1.353078
            1.045119
            0.184368
            -2.19112
            0.505543
            0.526254
            1.216106
              -0.9582
            1.205597
            -0.56191
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            1.374601
            -0.96537
            1.545873
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            0.330463
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            0.847566
            0.872369
            0.510765
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             0.87899
            -0.83829
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            -0.23214
            1.518415
            -1.31745
            -0.93544
            -0.16735
              -1.0611
            -1.43406
            -2.16329


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            0.580826
            -0.33888
            0.412612
            -2.04895
               1.1677
            -1.94869
            -0.51731
              -0.9764
              -0.1005
            0.134777
            1.735543
            -0.50659
            -0.79462
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            0.586722
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            -1.43535
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              -0.6669
            0.083135
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            -0.29959
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            1.002229
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            -1.16952
            0.396506
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            0.596656
            1.610715
            0.234261
            -0.38528
            0.248752
            1.818207
            -2.40083


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            0.016792
            -0.12305
            0.989544
            1.236058
            1.635558
               -1.819
            0.803996
            0.366883
            0.742209
            0.483928
            -0.13539
            1.659332
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            2.331726
            1.349458
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            0.975535
            -0.22672
            0.233081
            -0.41912
            0.510155
            1.576936
            -0.15898
            -1.02357


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            -0.92132
            0.729772
            1.596327
            -0.63185
            -0.83243
            1.022793
            0.222952
            0.449127
            2.599409
            -0.57929
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            1.119452
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            -1.74916
            2.037232
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            0.029036
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            1.382714
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            0.344148
            0.797145
            0.240634
            -1.62947
            0.026969
            0.650268
            -0.16231


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            -1.64941
              -1.5977
            -0.81269
            0.259736
            -0.61218
             2.06287
            -0.21692
            0.863449
            1.239514
            -0.45854
            -1.84481
              -0.9015
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            2.283505
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              -0.2725
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            -0.70837
             0.58654
            -0.23536
            0.528012
            -1.92376
            -1.11048
            1.486028
             0.20706


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            0.894063
            -1.22302
            -1.26771
            -0.24781
            -0.18748
            1.015464
            1.015719
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            1.279936
            0.700431
            0.924247
            -1.09544
            1.266003
            -0.43369
            1.249971
            -1.59551


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            -0.89806
            3.015739
              -0.4269
            -0.41578
             0.67015
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            1.142803
            0.622449
            0.279806
            -0.17551
            0.404048
            -0.54036


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            0.822738
            -0.09804
            -0.69263
            -0.84276
            1.772592
            0.404129
            0.067562
            1.042217
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            1.515514
            -0.72559
            1.733133
            -1.25248


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            0.401226
            0.464836
            -1.07763
            2.526031
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            -0.14072
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            0.270431


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            1.560184
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             0.28522
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            2.499073
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            0.000726
            -0.72439
            -0.12398
            1.321832
            0.360999


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            -0.31001
            -1.25433
            -0.41995
              -0.7732
               1.2037
            -0.54986
            -0.42723
            0.033704
            -0.57685
            1.104124
            0.090813
            -0.00142
            -0.08045
            -1.13709
            0.079988
            -0.17659
            -1.17104
            -0.69263
            0.619295
             1.05201
             0.69098
            0.493756
            -0.99744
             1.10666
              -1.2966
            0.665943
            -1.47891
            1.118308
            1.480967
            0.258311
             0.88181
            0.306239
            -1.49205
              -1.7053
            0.930952
            1.087528
            0.270036
            -0.43899
            -0.87461
            -0.55574
            -1.15613
            -0.76149
            0.359121
            -0.95868
            1.850285
             0.65595
            -0.22005
            -0.35195
            -0.52617
            0.441439
            1.256008
            -1.61832


Page 22
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            -1.71454
            -0.49886
            -0.18359
            1.614926
            -0.24505
             0.18538
            -0.88633
            -0.71073
              -1.2913
            1.302294
            0.177913
            -1.20813
            1.968483
            -1.64733
            1.638773
            -1.44506
            -1.01188
            -0.64132
              -0.6975
            1.130688
            -0.33176
             1.28796
            -0.89692
            -0.48058
            0.358224
            -1.83319
            0.543464
            0.713198
            1.766002
             2.43348
            -0.42732
            0.089968
            -1.05481
            -0.03271
            -2.19028
            -1.35422
            -0.05928
            -0.65576
            -0.63513
            -0.98469
            -0.42832
            0.896118
            -1.57297
             0.68623
            -0.12051
            -0.46936
            -0.33022
            -1.10159
            1.654803
            -1.40207
            0.659749
            0.653201


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            0.903342
            0.708078
            0.975658
            -0.86612
            1.906055
            0.782618
            -0.52195
            -0.78866
               0.2482
            2.191955
            1.921817
            0.783762
            1.129963
            -1.64792
            0.499554
            -0.75019
            0.685939
             0.62598
            0.598851
            0.245282
            -2.13182
            -0.12228
            -0.92918
            -1.40412
            -1.12851
              -0.8176
               -0.593
            0.608673
            -0.87607
            -0.14011
             2.16648
            -0.53338
            0.104342
            0.912701
            0.800408
            -0.09358
            -0.73257
            -0.15937
            -1.20102
            -0.79295
            2.101642
            0.207764
            -0.63101
            0.474574
            0.867678
            -0.05055
            -0.64244
            -0.81674
            1.674989
            -1.25618
            0.095116
            1.313992


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            -0.51085
            0.213709
            1.085045
            0.096422
             1.41486
            -0.76569
              -0.2865
            1.591693
            1.054009
            0.420538
            -0.58554
             0.95084
            1.298374
            -0.66986
            0.743116
            -0.87595
            -0.07347
            -1.31581
            -1.28656
            -1.00641
            -0.96269
            1.127071
            -0.86234
            0.065797
            -0.45218
            1.380527
            0.137093
            0.770415
            -1.44832
            0.302233
            -0.86434
            1.072453
            -1.08271
             0.36582
            -1.41988
              -0.0494
            -2.01054
            -1.86576
             1.68282
            -0.58718
            0.532061
            0.534442
            1.993512
             0.10888
            0.102266
            -0.28618
            -1.71123
            1.034609
            0.048558
            0.028806
            -0.72151
              -0.3861


Page 25
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              -0.0246
            -1.31854
            -0.58219
            -2.19195
             0.19535
            -1.01867
            -0.15495
               0.2542
            -0.26251
            0.483068
            0.575311
            0.334344




Page 26
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Frequency
        0
        0
        0
        1
        0
        3
        1
        1
        0
       10
        3
        3
       11
       15
       13
        8
       15
       15
       23
       18
       21
       29
       32
       32
       35
       32
       34
       30
       33
       41
       37
       36
       37
       38
       25
       34
       35
       31
       28
       35
       26
       27
       18
       23
       16
       17
       12
       17
        5
       11


            Page 27
     Trang 476


12
 3
 4
 2
 4
 3
 2
 0
 0
 1
 1




     Page 28
                                                                                                                  3
                                                                                                                  2.8
                                                                                                                  2.6
                                                                                                                  2.4
                                                                                                                  2.2
                                                                                                                  2
                                                                                                                  1.8
                                                                                                                  1.6
                 Biểu đồ phân phối của 1000 con số ngẫu nhiên




                                                                                                                  1.4
                                                                                                                  1.2
                                                                                                                  1
                                                                                                                  0.8
                                                                                                                  0.6
                                                                                                                  0.4
                                                                                                                  0.2
Hinh trang 477




                                                                                                                         Page 29
                                                                                                                  0
                                                                                                                  -0.2
                                                                                                                  -0.4
                                                                                                                  -0.6
                                                                                                                  -0.8
                                                                                                                  -1
                                                                                                                  -1.2
                                                                                                                  -1.4
                                                                                                                  -1.6
                                                                                                                  -1.8
                                                                                                                  -2
                                                                                                                  -2.2
                                                                                                                  -2.4
                                                                                                                  -2.6
                                                                                                                  -2.8
                                                                                                                  -3


                                                                45


                                                                     40


                                                                          35


                                                                               30


                                                                                    25


                                                                                          20


                                                                                                15


                                                                                                     10


                                                                                                          5


                                                                                                              0
                                                                                    Frequency
        A         B          C          D          E          F          G          H
 1            Mô phỏng phân phối chuẩn bằng VBA
 2           Lưu ý rằng lệnh Application.screenupdating sẽ tạo khác biệt rất lớn!
 3           Bấm [Ctrl]+r để chạy macro]
 4
 5 Runs       200,000              Starttime    18:19:07
 6                                 Stoptime     18:19:08
 7 Bin       Output                Elapsed       0:00:01
 8        -3    0.0020
 9      -2.9    0.0007
10      -2.8    0.0008                            0.05
11      -2.7    0.0012                            0.04
12      -2.6    0.0015                            0.04
13      -2.5    0.0020                            0.03
14      -2.4    0.0024                            0.03
15      -2.3    0.0032                            0.02
16      -2.2    0.0039                            0.02
17      -2.1    0.0050
                                                  0.01
18        -2    0.0060
                                                  0.01
19      -1.9    0.0070
20      -1.8    0.0085                            0.00
21      -1.7    0.0106             -4        -2        0       2         4
22      -1.6    0.0123
23      -1.5    0.0140
24      -1.4    0.0160
25      -1.3    0.0183
26      -1.2    0.0202
27      -1.1    0.0232
28        -1    0.0254
29      -0.9    0.0282
30      -0.8    0.0298
31      -0.7    0.0323
32      -0.6    0.0346
33      -0.5    0.0362
34      -0.4    0.0368
35      -0.3    0.0391
36      -0.2    0.0396
37      -0.1    0.0395
38 2.66E-15     0.0400
39       0.1    0.0394
40       0.2    0.0393
41       0.3    0.0373
42       0.4    0.0354
43       0.5    0.0342
44       0.6    0.0325
45       0.7    0.0298
46       0.8    0.0280
47       0.9    0.0251
48         1    0.0229
49       1.1    0.0205
50       1.2    0.0183
     A          B       C   D   E   F   G   H
51       1.3   0.0160
52       1.4   0.0140
53       1.5   0.0122
54       1.6   0.0101
55       1.7   0.0089
56       1.8   0.0073
57       1.9   0.0059
58         2   0.0049
59       2.1   0.0040
60       2.2   0.0033
61       2.3   0.0024
62       2.4   0.0020
63       2.5   0.0015
64       2.6   0.0012
65       2.7   0.0010
66       2.8   0.0007
67       2.9   0.0005
68         3   0.0013

				
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