Trabajo de probabilidad 2012 minerva
- 1. 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
- 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%