Probabilidad

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  • Publicado : 19 de septiembre de 2010
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De la siguiente tabla, la cual corresponde a las calificaciones promedio de un grupo de estudiantes del 5º semestre del CECYT 3 se obtuvieron los siguientes datos:

4.32 | 9.63 | 9.60 | 6.75 | 9.66 | 5.70 |
9.60 | 4.37 | 8.44 | 9.60 | 5.75 | 8.43 |
5.70 | 6.79 | 7.33 | 7.23 | 8.40 | 8.99 |
3.22 | 8.38 | 8.99 | 4.32 | 9.60 | 8.99 |
8.49 | 8.99 | 10 | 8.45 | 8.31 | 8.99 |
6.70 | 7.22| 2.22 | 7.22 | 4.32 | |

Universo: CECYT 3
Población: Los estudiantes del 5º semestre
Muestra: Un grupo de 5º semestre
Distribución de frecuencias
Calificaciones | Clases | Frecuencias | Porcentaje |
4.32 9.60 9.669.60 8.44 5.755.70 7.33 8.40 3.22 8.99 9.608.49 10 8.316.70 2.22 4.329.63 6.755.704.37 9.60 8.436.79 7.23 8.998.38 4.32 8.998.99 8.45 8.997.22 7.22 | 2.22 – 3.523.53 – 4.834.84 – 6.146.15 – 7.457.46 – 8.768.77 – 10 | 2437712 | 5.7 = 6%11.4 = 11%8.5 = 9%20 = 20%20 = 20%34.2 = 34% |
| Total | 35 | 100% |

K = 35 = 5.9
AC = 10-2.225.9 =1.3
Notación sigma
k=1101+2+3+4+5+6+7+8+9+10 =55
Histograma
Y Polígono defrecuencias

Grafica de pastel

Promedio
P = 4.35+9.60+5.70+3.22+8.49+6.70+9.63+4.37+6.79+8.38+8.99+7.22+9.60+8.44+7.33+8.99+10+2.22+6.75+9.60+7.23+4.32+8.45+7.22+9.66+5.75+8.40+9.60+8.31+4.32+5.70+8.43+8.99+8.99+8.9935
= 260.735 =7.44

Media aritmética
MA =4.35+9.60+5.70+3.22+8.49+6.70+9.63+4.37+6.79+8.38+8.99+7.22+9.60+8.44+7.33+8.99+10+2.22+6.75+9.60+7.23+4.32+8.45+7.22+9.66+5.75+8.40+9.60+8.31+4.32+5.70+8.43+8.99+8.99+8.9935
= 260.735 =7.44

Media aritmética punterada
Mp = (1*2.22+1*3.22+3*4.32+1*4.37+2*5.70+1*5.75+1*6.70+1*6.75+1*6.79+2*7.22+1*7.23+1*7.33+1*8.31+1*8.38+1*8.40+1*8.43+1*8.44+1*8.45+1*8.49+5*8.99+4*9.60+1*9.63+1*9.66+(1*10))(1+1+3+1+2+1+1+1+1+2+1+1+1+1+1+1+1+1+1+5+4+1+1+1)
Mp = 7.44

2.22 | 3.22 | 4.32 | 4.32 | 4.32 | 4.37 |
5.70 | 5.70 |5.75 | 6.70 | 6.75 | 6.79 |
7.22 | 7.22 | 7.23 | 7.33 | 8.31 | 8.38 |
8.40 | 8.43 | 8.44 | 8.45 | 8.49 | 8.99 |
8.99 | 8.99 | 8.99 | 8.99 | 9.60 | 9.60 |
9.60 | 9.60 | 9.63 | 9.66 | 10 | |

Mediana = 35+12= 362 =18
Mediana = 8.38

Moda = 8.99

Desviación media
x = 260.735 =7.44
x =7.44-2.22+7.44-3.22+7.44-4.32+7.44-4.32+7.44-4.32+7.44-4.37+7.44-5.70+7.44-5.70+7.44-5.75+7.44-6.70+7.44-6.75+7.44-6.79+7.44-7.22+7.44-7.22+7.44-7.23+7.44-7.33+8.31-7.44+8.38-7.44+8.40-7.44+8.43-7.44+8.44-7.44+8.45-7.44+8.49-7.44+8.99-7.44+8.99-7.44+8.99-7.44+8.99-7.44+8.99-7.44+9.60-7.44+9.60-7.44+9.60-7.44+9.60-7.44+9.63-7.44+9.66-7.44+(10-7.44) 35
x= 60.635 =1.71
DM = 1.71

Varianzaδ=(7.44-2.22)2+(7.44-3.22)2+7.44-4.322+7.44-4.322+7.44-4.322+7.44-4.372+7.44-5.702+7.44-5.702+7.44-5.752+7.44-6.702+7.44-6.752+7.44-6.792+7.44-7.222+7.44-7.222+7.44-7.232+7.44-7.332+8.31-7.442+8.38-7.442+8.40-7.442+8.43-7.442+8.44-7.442+8.45-7.442+8.49-7.442+8.99-7.442+8.99-7.442+8.99-7.442+8.99-7.442+8.99-7.442+9.60-7.442+9.60-7.442+9.60-7.442+9.60-7.442+9.63-7.442+9.66-7.442+(10-7.44)235
δ=147.813234
δ=4.22 = 2.05

Rango = 10 – 2.22 = 7.78

Taza de crecimiento
2.221*2.05 =2.05 |3.221*2.05 =2.05 | 4.323*2.05 =6.15 | 4.371*2.05 =2.05 |
5.702*2.05 =4.1 | 5.751*2.05 =2.05 | 6.701*2.05 =2.05 | 6.751*2.05 =2.05 |
6.791*2.05 =2.05 | 7.222*2.05 =4.1 | 7.231*2.05 =2.05 | 7.331*2.05 =2.05 |
8.311*2.05 =2.05 | 8.381*2.05 =2.05 | 8.401*2.05 =2.05 | 8.431*2.05 =2.05 |
8.441*2.05 =2.05 | 8.451*2.05 =2.05 | 8.491*2.05 =2.05 | 8.995*2.05 =10.25 |
9.604*2.05 =8.2 | 9.631*2.05=2.05 | 9.661*2.05 =2.05 | 101*2.05 =2.05 |
= 7.71 es la taza de crecimiento



Colegio de Estudios Científicos y Tecnológicos del Estado de México
Plantel Coacalco

Materia:
Probabilidad

Nombre:
Peralta Ramírez César Daniel

Grupo: 509

Tarea.
Derecho a Examen

Profesor:
Ing. Eliseo Fernando Suarez Guizar...
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