Examen Sorpresa 1

Ejercicio 1:

Clases:

k=1+3 .322 log 10 (n ) = 1+3.322log10 (70)= 1+ (3.322) (1.9030) = 7.3217 = 8

Rango:

R=max .−min = 81-55 = 26 LimitesReales

Clases

Marca de Clase

Frecuencia Frecuencia acumulada

Frecuenciarelativa

FrecuenciaRelativaAcumulada

mifi

51.5-55.5 52-55 53.5 3 3 0.0428 0.0428 160.555.5-59.5 56-59 57.5 9 12 0.01285 0.1717 517.559.5-63.5 60-63 61.5 11 23 0.1571 0.3285 676.563.5-67.5 64-67 65.5 19 42 0.2714 0.6 1244.567.7-71.5 68-71 69.5 10 52 0.1428 0.7428 69571.5-75.5 72-75 73.5 9 61 0.1285 0.8714 661.575.5-79.5 76-79 77.5 4 65 0.0571 0.9285 31079.5-83.5 80-83 81.53 5 70 0.0714 1 407.5

∑i=1

k

mifi=¿¿

4600.73

Ancho de clase:

w= Rk = 268 = 3.25 = 3

-Clase mediana y Clase Modal

51.5 55.5 59.5 63.5 67.5 71.5 75.5 79.50

2

4

6

8

10

12

14

16

18

20

Histograma y Poligono de Frecuencias

Examen Sorpresa 2

Ejercicio 1:

Media:

X=∑i=1

k

mifi

∑i=1

k

fi = X= 4600.7370

=65.72

Mediana:n2 = 702 = 35

Li= 63.5

j=12 j= 35-23= 12

fi= 19

Ui-Li= 4

Li+ ifi

(Ui−Li )= 63.5+1519

(4 )=66.02

Moda:li= 63.5

fm= 19

fi= 11

fs= 10

Li+ fm−fi( fm−fi )+(fm−fs) (Ui-Li) = 63.5+ 19−11(8 )+(9)

(4 )=63.5+ 3217= 65.38