Los 49 alumnos que presentaron una prueba de actitud escolar, ante una comisión de
          exámenes de admisión, obtuvimos las siguientes puntuaciones.
      500        657              500         673       509         540           508       647            563        607
      323        589              553         800       782         573           573       583            589        478
      350        497              524         574       601         442           442       425            545        513
      390        308              481         479       643         416           416       738            453        461
      800        789              319         532       387         705           705       684            439

                                                    #Clases= √49 = 7
                            Rango            = 800 – 300 = 500 + 1 = 501/7 = 71.5714

                                                                                                           2              2
    CLASES      F     FA     FA         FR      F%     FA%    X        (x-   )      F(x -       (x                F(x -

   1.- 300 - 370 5     5    0.1020 0.1020 10.2 % 10.2 %       335     - 195.5816 - 977.908       38252.1622      191260.811

   2.- 371 - 442 7    12    0.2448 0.1428 14.2 % 24.4 % 406.5 - 124.0816 - 868.5712 15396.2434                  107773.7038

   3.- 443 - 513 13 25      0.5102 0.2653       27 %    51.4% 478     - 52.5816    - 683.5608    2764.8246       35942.7198
    4.- 514 - 585 9   34     0.6938 0.1836 18.2 % 69.6%       549.5    18.9184       170.2656        357.9058    3221.1522
   5.- 586 - 656 6    40    0.8163 0.1224 12.2 %        81.8% 621      90.4184      542.5104     8175.4870       49052.922

   6.- 657 - 728 4    44    0.8979 0.0816       8    % 89.8% 692.5    161.9184      647.6736     26217.5682     104870.2728
   7.- 729 - 800 5    49      1     0.1020 10.2 %       100% 764.5    233.9184      1169.592     54717.8178      273589.089

                                                                             =    5060.0816                     765710.6706



                                                          = 530.5816



                             = Li +                                                             = Li +

                 = 443 +
                                                                                                = 443 +             ) 71.57
                                  = 485.942
                                                                                                 = 539.34




                           D.M =
                                                                                        σ2 =

                           D.M =
                                                                                        σ2 =
                           D.M = 103.2669
                                                                                        σ2 = 15626.74838

                                                                                        σ2 =

                                                                                        σ = 125.0069933
14

12

10

 8
                                                                                  Series1
 6
                                                                                  Series2
 4

 2

 0
           300-370   371-442   443-513   514-585   586-656   657-728   729-800




1.2
                                                                                 Series1
 1                                                                               Series2
                                                                                 Series3
0.8
                                                                                 Series4
0.6                                                                              Series5
                                                                                 Series6
0.4
                                                                                 Series7
0.2                                                                              Series8

 0                                                                               Series9
              1        2        3         4        5         6         7         Series10




      14

      12

      10

       8
                                                                                  Series1
       6
                                                                                  Series2
       4

       2

       0
             300-370 371-442 443-513 514-585 586-656 657-728 729-800
F%
1     2    3   4   5    6    7



          10% 11%
    8%
                       14%
12%


                   27%
    18%

Trabajo de probabilidad 2012 minerva

  • 1.
    Los 49 alumnosque presentaron una prueba de actitud escolar, ante una comisión de exámenes de admisión, obtuvimos las siguientes puntuaciones. 500 657 500 673 509 540 508 647 563 607 323 589 553 800 782 573 573 583 589 478 350 497 524 574 601 442 442 425 545 513 390 308 481 479 643 416 416 738 453 461 800 789 319 532 387 705 705 684 439 #Clases= √49 = 7 Rango = 800 – 300 = 500 + 1 = 501/7 = 71.5714 2 2 CLASES F FA FA FR F% FA% X (x- ) F(x - (x F(x - 1.- 300 - 370 5 5 0.1020 0.1020 10.2 % 10.2 % 335 - 195.5816 - 977.908 38252.1622 191260.811 2.- 371 - 442 7 12 0.2448 0.1428 14.2 % 24.4 % 406.5 - 124.0816 - 868.5712 15396.2434 107773.7038 3.- 443 - 513 13 25 0.5102 0.2653 27 % 51.4% 478 - 52.5816 - 683.5608 2764.8246 35942.7198 4.- 514 - 585 9 34 0.6938 0.1836 18.2 % 69.6% 549.5 18.9184 170.2656 357.9058 3221.1522 5.- 586 - 656 6 40 0.8163 0.1224 12.2 % 81.8% 621 90.4184 542.5104 8175.4870 49052.922 6.- 657 - 728 4 44 0.8979 0.0816 8 % 89.8% 692.5 161.9184 647.6736 26217.5682 104870.2728 7.- 729 - 800 5 49 1 0.1020 10.2 % 100% 764.5 233.9184 1169.592 54717.8178 273589.089 = 5060.0816 765710.6706 = 530.5816 = Li + = Li + = 443 + = 443 + ) 71.57 = 485.942 = 539.34 D.M = σ2 = D.M = σ2 = D.M = 103.2669 σ2 = 15626.74838 σ2 = σ = 125.0069933
  • 2.
    14 12 10 8 Series1 6 Series2 4 2 0 300-370 371-442 443-513 514-585 586-656 657-728 729-800 1.2 Series1 1 Series2 Series3 0.8 Series4 0.6 Series5 Series6 0.4 Series7 0.2 Series8 0 Series9 1 2 3 4 5 6 7 Series10 14 12 10 8 Series1 6 Series2 4 2 0 300-370 371-442 443-513 514-585 586-656 657-728 729-800
  • 3.
    F% 1 2 3 4 5 6 7 10% 11% 8% 14% 12% 27% 18%