9       1       2       3       4       5       6       7       8       9      10

 1   1,463   1,532   1,535   1,457   1,558   1,540   1,526   1,493   1,509   1,522

 2   1,529   1,474   1,538   1,483   1,475   1,507   1,515   1,481   1,503   1,519

 3   1,442   1,470   1,567   1,501   1,550   1,568   1,450   1,514   1,531   1,560

 4   1,509   1,528   1,499   1,518   1,490   1,486   1,522   1,489   1,442   1,469

 5   1,527   1,481   1,570   1,541   1,455   1,447   1,550   1,503   1,530   1,535

 6   1,505   1,501   1,446   1,513   1,522   1,467   1,447   1,480   1,503   1,529

 7   1,535   1,524   1,422   1,501   1,536   1,502   1,471   1,469   1,497   1,527

 8   1,511   1,562   1,468   1,462   1,475   1,570   1,560   1,522   1,484   1,536

 9   1,466   1,553   1,489   1,524   1,503   1,549   1,513   1,515   1,436   1,503

10   1,510   1,498   1,488   1,528   1,484   1,476   1,512   1,452   1,494   1,492

11   1,521   1,503   1,458   1,523   1,468   1,457   1,546   1,512   1,461   1,488

12   1,484   1,480   1,503   1,484   1,506   1,478   1,419   1,475   1,513   1,447

13   1,499   1,537   1,493   1,489   1,518   1,496   1,474   1,494   1,477   1,557

14   1,549   1,503   1,478   1,492   1,587   1,461   1,417   1,490   1,506   1,482

15   1,500   1,490   1,557   1,504   1,406   1,542   1,516   1,526   1,473   1,518
11      12      13      14      15      16      17      18      19      20

1,464   1,512   1,457   1,528   1,562   1,515   1,479   1,526   1,478   1,457

1,539   1,475   1,521   1,446   1,464   1,393   1,473   1,547   1,532   1,483

1,461   1,496   1,524   1,492   1,474   1,423   1,486   1,488   1,571   1,486

1,488   1,505   1,469   1,452   1,569   1,571   1,488   1,488   1,537   1,472

1,472   1,470   1,493   1,421   1,473   1,548   1,530   1,463   1,490   1,459

1,466   1,479   1,496   1,519   1,487   1,485   1,452   1,468   1,499   1,407

1,500   1,471   1,538   1,482   1,409   1,476   1,554   1,539   1,467   1,494

1,531   1,445   1,496   1,466   1,512   1,480   1,515   1,470   1,454   1,448

1,475   1,474   1,443   1,491   1,490   1,567   1,513   1,471   1,523   1,477

1,476   1,551   1,501   1,529   1,487   1,468   1,510   1,482   1,497   1,548

1,506   1,495   1,518   1,441   1,528   1,450   1,481   1,506   1,512   1,483

1,479   1,473   1,504   1,540   1,464   1,533   1,441   1,533   1,518   1,478

1,488   1,497   1,484   1,518   1,494   1,452   1,501   1,467   1,447   1,530

1,487   1,555   1,523   1,468   1,574   1,557   1,524   1,531   1,550   1,504

1,534   1,464   1,464   1,545   1,519   1,580   1,468   1,559   1,496   1,488
Intervalos aparentes                      Intervalos reales            Marcas de Clase

Limite inferior                                          Limite superior
                   Limite superior     Limite Inferior                                xi
           1,393                                1,3925                                     1,4035
                               1,414                                 1,4145
                                                1,4145                                     1,4255
           1,415               1,436                                 1,4365
                                                1,4365                                     1,4475
           1,437               1,458                                 1,4585
                                                1,4585                                     1,4695
           1,459               1,480                                 1,4805
                                                1,4805                                     1,4915
           1,481               1,502                                 1,5025
                                                1,5025                                     1,5135
           1,503               1,524                                 1,5245
                                                1,5245                                     1,5355
           1,525               1,546                                 1,5465
                                                1,5465                                     1,5575
           1,547               1,568                                 1,5685
                                                1,5685                                     1,5795
           1,569               1,590                                 1,5905
Frecuencias


fi        fai                 fri           frai
                    4
     4                         0,01333333    0,013333333

     6             10                0,02    0,033333333

     26            36          0,08666667           0,12

     63            99                0,21           0,33

     69           168                0,23           0,56

     60           228                 0,2           0,76

     40           268          0,13333333    0,893333333

     24           292                0,08    0,973333333

     8            300          0,02666667             1
Medidas de tendencia central y dispersión
            xifi                    (xi - x )fi        (xi - x )^2 fi
                        5,614              0,379867                       0,0360747
                        8,553              0,437800                       0,0319448
                       37,635              1,325133                       0,0675376
                       92,579              1,824900                       0,0528613
                      102,914              0,480700                       0,0033489
                       90,810              0,902000                       0,0135601
                       61,420              1,481333                       0,0548587
                       37,380              1,416800                       0,0836384
                       12,636              0,648267                       0,0525312

 Totales               449,54              8,896800                       0,3963557

Media a=               1,4985
           Desviación media=                0,02966
                                           Varianza=                    0,001321186
                                Desviación estandar=                     0,03634812
Histograma

80                                                                                                           100


                                                                                                             90
70

                                                                                                             80
60
                                                                                                             70

50
                                                                                                             60


40                                                                                                           50


                                                                                                             40
30

                                                                                                             30
20
                                                                                                             20

10
                                                                                                             10


 0                                                                                                           0
     1.4             1.4                1.5             1.5             1.6             1.6            1.7

           Series1    Medi Aritmetica         Series3   Series4   Series5     Series6    Series7   Series8
http://www.facebook.com/MoonseeciiThaa
        https://twitter.com/Moonseecitha
                        moncpc@msn.com

Histograma

  • 2.
    9 1 2 3 4 5 6 7 8 9 10 1 1,463 1,532 1,535 1,457 1,558 1,540 1,526 1,493 1,509 1,522 2 1,529 1,474 1,538 1,483 1,475 1,507 1,515 1,481 1,503 1,519 3 1,442 1,470 1,567 1,501 1,550 1,568 1,450 1,514 1,531 1,560 4 1,509 1,528 1,499 1,518 1,490 1,486 1,522 1,489 1,442 1,469 5 1,527 1,481 1,570 1,541 1,455 1,447 1,550 1,503 1,530 1,535 6 1,505 1,501 1,446 1,513 1,522 1,467 1,447 1,480 1,503 1,529 7 1,535 1,524 1,422 1,501 1,536 1,502 1,471 1,469 1,497 1,527 8 1,511 1,562 1,468 1,462 1,475 1,570 1,560 1,522 1,484 1,536 9 1,466 1,553 1,489 1,524 1,503 1,549 1,513 1,515 1,436 1,503 10 1,510 1,498 1,488 1,528 1,484 1,476 1,512 1,452 1,494 1,492 11 1,521 1,503 1,458 1,523 1,468 1,457 1,546 1,512 1,461 1,488 12 1,484 1,480 1,503 1,484 1,506 1,478 1,419 1,475 1,513 1,447 13 1,499 1,537 1,493 1,489 1,518 1,496 1,474 1,494 1,477 1,557 14 1,549 1,503 1,478 1,492 1,587 1,461 1,417 1,490 1,506 1,482 15 1,500 1,490 1,557 1,504 1,406 1,542 1,516 1,526 1,473 1,518
  • 3.
    11 12 13 14 15 16 17 18 19 20 1,464 1,512 1,457 1,528 1,562 1,515 1,479 1,526 1,478 1,457 1,539 1,475 1,521 1,446 1,464 1,393 1,473 1,547 1,532 1,483 1,461 1,496 1,524 1,492 1,474 1,423 1,486 1,488 1,571 1,486 1,488 1,505 1,469 1,452 1,569 1,571 1,488 1,488 1,537 1,472 1,472 1,470 1,493 1,421 1,473 1,548 1,530 1,463 1,490 1,459 1,466 1,479 1,496 1,519 1,487 1,485 1,452 1,468 1,499 1,407 1,500 1,471 1,538 1,482 1,409 1,476 1,554 1,539 1,467 1,494 1,531 1,445 1,496 1,466 1,512 1,480 1,515 1,470 1,454 1,448 1,475 1,474 1,443 1,491 1,490 1,567 1,513 1,471 1,523 1,477 1,476 1,551 1,501 1,529 1,487 1,468 1,510 1,482 1,497 1,548 1,506 1,495 1,518 1,441 1,528 1,450 1,481 1,506 1,512 1,483 1,479 1,473 1,504 1,540 1,464 1,533 1,441 1,533 1,518 1,478 1,488 1,497 1,484 1,518 1,494 1,452 1,501 1,467 1,447 1,530 1,487 1,555 1,523 1,468 1,574 1,557 1,524 1,531 1,550 1,504 1,534 1,464 1,464 1,545 1,519 1,580 1,468 1,559 1,496 1,488
  • 4.
    Intervalos aparentes Intervalos reales Marcas de Clase Limite inferior Limite superior Limite superior Limite Inferior xi 1,393 1,3925 1,4035 1,414 1,4145 1,4145 1,4255 1,415 1,436 1,4365 1,4365 1,4475 1,437 1,458 1,4585 1,4585 1,4695 1,459 1,480 1,4805 1,4805 1,4915 1,481 1,502 1,5025 1,5025 1,5135 1,503 1,524 1,5245 1,5245 1,5355 1,525 1,546 1,5465 1,5465 1,5575 1,547 1,568 1,5685 1,5685 1,5795 1,569 1,590 1,5905
  • 5.
    Frecuencias fi fai fri frai 4 4 0,01333333 0,013333333 6 10 0,02 0,033333333 26 36 0,08666667 0,12 63 99 0,21 0,33 69 168 0,23 0,56 60 228 0,2 0,76 40 268 0,13333333 0,893333333 24 292 0,08 0,973333333 8 300 0,02666667 1
  • 6.
    Medidas de tendenciacentral y dispersión xifi (xi - x )fi (xi - x )^2 fi 5,614 0,379867 0,0360747 8,553 0,437800 0,0319448 37,635 1,325133 0,0675376 92,579 1,824900 0,0528613 102,914 0,480700 0,0033489 90,810 0,902000 0,0135601 61,420 1,481333 0,0548587 37,380 1,416800 0,0836384 12,636 0,648267 0,0525312 Totales 449,54 8,896800 0,3963557 Media a= 1,4985 Desviación media= 0,02966 Varianza= 0,001321186 Desviación estandar= 0,03634812
  • 7.
    Histograma 80 100 90 70 80 60 70 50 60 40 50 40 30 30 20 20 10 10 0 0 1.4 1.4 1.5 1.5 1.6 1.6 1.7 Series1 Medi Aritmetica Series3 Series4 Series5 Series6 Series7 Series8
  • 8.
    http://www.facebook.com/MoonseeciiThaa https://twitter.com/Moonseecitha moncpc@msn.com