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datos                2100
intervalos             26
sigmas                  6
tv           11.5+-.25
                                                 11.585
                                                 11.415
                     11.5       11.67                     six sigma
                                11.33   0.34 0.04047619     11.4595238
                                                            11.4595238

tv                   11.5          0                       11.4190476
                     11.5        220                       11.4190476

                   11.67           0                       11.3785714
                   11.67         220                       11.3785714

                   11.33           0                       11.3380952
                   11.33         220                       11.3380952
                            |
                                                           11.3785714
                                                           11.3785714
aparentes
                  max                  11.59          lim inf
                  min                  11.41      1            11.42
                  rango                  0.18     2         11.4275
                  int                      24     3           11.435
                  tot int             0.0075      4         11.4425
                                                  5            11.45
  0 11.5404762                                    6         11.4575
200 11.5404762                                    7           11.465
                             0.001                8         11.4725
  0 11.5809524              0.0005                9            11.48
200 11.5809524                                   10         11.4875
                                                 11           11.495
  0 11.6214286                                              11.5025
200 11.6214286                                                 11.51
                                                            11.5175
  0 11.6619048                                                11.525
200 11.6619048                                              11.5325
                                                               11.54
  0   11.702381                      11.4195      0         11.5475
200   11.702381                      11.4195     36           11.555
                                      11.427     36         11.5625
                                      11.427      0            11.57
                                      11.427     46         11.5775
                                     11.4345     46           11.585
                                     11.4345      0         11.5925
                                     11.4345     67
                                      11.442     67
                                      11.442      0
                                      11.442     76
                                     11.4495     76
                                     11.4495      0
                                     11.4495     83
                                      11.457     83
                                      11.457      0
                                      11.457     93
                                     11.4645     93
                                     11.4645      0
                                     11.4645    113
                                      11.472    113
                                      11.472      0
                                      11.472    122
                                     11.4795    122
                                     11.4795      0
                                     11.4795    135
                                      11.487    135
                                      11.487      0
11.487   157
11.4945   157
11.4945     0
11.4945   163
 11.502   163
 11.502     0
 11.502   145
11.5095   145
11.5095     0
11.5095   131
 11.517   131
 11.517     0
 11.517   115
11.5245   115
11.5245     0
11.5245    99
 11.532    96
 11.532     0
 11.532    86
11.5395    86
11.5395     0
11.5395    79
 11.547    79
 11.547     0
 11.547    61
11.5545    61
11.5545     0
11.5545    59
 11.562    59
 11.562     0
 11.562    54
11.5695    54
11.5695     0
11.5695    54
 11.577    54
 11.577     0
 11.577    53
11.5845    53
11.5845     0
11.5845    47
 11.592    47
 11.592     0
 11.592    42
11.5995    42
11.5995     0
      0
lim superior    lim inf        lim sup       marca de clase
      11.4265         11.4195         11.427    11.42325       36     36
       11.434           11.427       11.4345    11.43075       46     82
      11.4415         11.4345         11.442    11.43825       67    149
       11.449           11.442       11.4495    11.44575       76    225
      11.4565         11.4495         11.457    11.45325       83    308
       11.464           11.457       11.4645    11.46075       93    401
      11.4715         11.4645         11.472    11.46825      113    514
       11.479           11.472       11.4795    11.47575      122    636
      11.4865         11.4795         11.487    11.48325      135    771
       11.494           11.487       11.4945    11.49075      157    928
      11.5015         11.4945         11.502    11.49825      163   1091
       11.509           11.502       11.5095    11.50575      145   1236
      11.5165         11.5095         11.517    11.51325      131   1367
       11.524           11.517       11.5245    11.52075      115   1482
      11.5315         11.5245         11.532    11.52825       99   1581
       11.539           11.532       11.5395    11.53575       86   1667
      11.5465         11.5395         11.547    11.54325       79   1746
       11.554           11.547       11.5545    11.55075       61   1807
      11.5615         11.5545         11.562    11.55825       59   1866
       11.569           11.562       11.5695    11.56575       54   1920
      11.5765         11.5695         11.577    11.57325       53   1973
       11.584           11.577       11.5845    11.58075       47   2020
      11.5915         11.5845         11.592    11.58825       42   2062
       11.599           11.592       11.5995    11.59575       38   2100
0.03299725    0.03299725       411.237   1.69770852    4682.4216
0.04216315     0.0751604     525.8145    1.82429423   5990.96609
0.06141155    0.13657195    766.36275     2.1546242   8737.44539
0.06966086    0.20623281       869.877   1.87405133   9924.15482
0.07607699    0.28230981    950.61975    1.42416132   10852.4532
 0.0852429     0.3675527   1065.84975    0.89824702   12175.9344
 0.1035747    0.47112741   1295.91225    0.24391842   14813.8158
0.11182401    0.58295142    1400.0415    0.65165445    16014.637
0.12373969    0.70669111   1550.23875    1.73359303   17744.3232
0.14390467    0.85059578   1804.04775    3.19360449   20662.9989
0.14940422             1   1874.21475    4.53815307   21480.7263
0.13290559   sumatoria     12514.2158    20.2340101   143079.877
             media         11.4704086
                                          0.0185463
                                                      131.145625
                                                      20.2979342

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Problema de histograma

  • 1. datos 2100 intervalos 26 sigmas 6 tv 11.5+-.25 11.585 11.415 11.5 11.67 six sigma 11.33 0.34 0.04047619 11.4595238 11.4595238 tv 11.5 0 11.4190476 11.5 220 11.4190476 11.67 0 11.3785714 11.67 220 11.3785714 11.33 0 11.3380952 11.33 220 11.3380952 | 11.3785714 11.3785714
  • 2.
  • 3. aparentes max 11.59 lim inf min 11.41 1 11.42 rango 0.18 2 11.4275 int 24 3 11.435 tot int 0.0075 4 11.4425 5 11.45 0 11.5404762 6 11.4575 200 11.5404762 7 11.465 0.001 8 11.4725 0 11.5809524 0.0005 9 11.48 200 11.5809524 10 11.4875 11 11.495 0 11.6214286 11.5025 200 11.6214286 11.51 11.5175 0 11.6619048 11.525 200 11.6619048 11.5325 11.54 0 11.702381 11.4195 0 11.5475 200 11.702381 11.4195 36 11.555 11.427 36 11.5625 11.427 0 11.57 11.427 46 11.5775 11.4345 46 11.585 11.4345 0 11.5925 11.4345 67 11.442 67 11.442 0 11.442 76 11.4495 76 11.4495 0 11.4495 83 11.457 83 11.457 0 11.457 93 11.4645 93 11.4645 0 11.4645 113 11.472 113 11.472 0 11.472 122 11.4795 122 11.4795 0 11.4795 135 11.487 135 11.487 0
  • 4. 11.487 157 11.4945 157 11.4945 0 11.4945 163 11.502 163 11.502 0 11.502 145 11.5095 145 11.5095 0 11.5095 131 11.517 131 11.517 0 11.517 115 11.5245 115 11.5245 0 11.5245 99 11.532 96 11.532 0 11.532 86 11.5395 86 11.5395 0 11.5395 79 11.547 79 11.547 0 11.547 61 11.5545 61 11.5545 0 11.5545 59 11.562 59 11.562 0 11.562 54 11.5695 54 11.5695 0 11.5695 54 11.577 54 11.577 0 11.577 53 11.5845 53 11.5845 0 11.5845 47 11.592 47 11.592 0 11.592 42 11.5995 42 11.5995 0 0
  • 5. lim superior lim inf lim sup marca de clase 11.4265 11.4195 11.427 11.42325 36 36 11.434 11.427 11.4345 11.43075 46 82 11.4415 11.4345 11.442 11.43825 67 149 11.449 11.442 11.4495 11.44575 76 225 11.4565 11.4495 11.457 11.45325 83 308 11.464 11.457 11.4645 11.46075 93 401 11.4715 11.4645 11.472 11.46825 113 514 11.479 11.472 11.4795 11.47575 122 636 11.4865 11.4795 11.487 11.48325 135 771 11.494 11.487 11.4945 11.49075 157 928 11.5015 11.4945 11.502 11.49825 163 1091 11.509 11.502 11.5095 11.50575 145 1236 11.5165 11.5095 11.517 11.51325 131 1367 11.524 11.517 11.5245 11.52075 115 1482 11.5315 11.5245 11.532 11.52825 99 1581 11.539 11.532 11.5395 11.53575 86 1667 11.5465 11.5395 11.547 11.54325 79 1746 11.554 11.547 11.5545 11.55075 61 1807 11.5615 11.5545 11.562 11.55825 59 1866 11.569 11.562 11.5695 11.56575 54 1920 11.5765 11.5695 11.577 11.57325 53 1973 11.584 11.577 11.5845 11.58075 47 2020 11.5915 11.5845 11.592 11.58825 42 2062 11.599 11.592 11.5995 11.59575 38 2100
  • 6.
  • 7. 0.03299725 0.03299725 411.237 1.69770852 4682.4216 0.04216315 0.0751604 525.8145 1.82429423 5990.96609 0.06141155 0.13657195 766.36275 2.1546242 8737.44539 0.06966086 0.20623281 869.877 1.87405133 9924.15482 0.07607699 0.28230981 950.61975 1.42416132 10852.4532 0.0852429 0.3675527 1065.84975 0.89824702 12175.9344 0.1035747 0.47112741 1295.91225 0.24391842 14813.8158 0.11182401 0.58295142 1400.0415 0.65165445 16014.637 0.12373969 0.70669111 1550.23875 1.73359303 17744.3232 0.14390467 0.85059578 1804.04775 3.19360449 20662.9989 0.14940422 1 1874.21475 4.53815307 21480.7263 0.13290559 sumatoria 12514.2158 20.2340101 143079.877 media 11.4704086 0.0185463 131.145625 20.2979342