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TAREA 1
1.- Obtenga:
a)La media,
b)Moda,
c)Mediana,
d) Varianza y Desviación estándar,
e)Coeficiente de variación.
El número de días que faltaron al colegio 15 estudiantes de primer año durante el año escolar son: 1,8,2,2,3,9,2,3,5,2,4,7,9,8,5.
Xi
X
Xi - X
(Xi - X) 2
1
4.666666667
-3.66666667
13.4444444
2
4.666666667
-2.66666667
7.11111111
2
4.466666667
-2.46666667
6.08444444
2
4.666666667
-2.66666667
7.11111111
2
4.666666667
-2.66666667
7.11111111
3
4.666666667
-1.66666667
2.77777778
3
4.666666667
-1.66666667
2.77777778
4
4.666666667
-0.66666667
0.44444444
5
4.666666667
0.33333333
0.11111111
5
4.666666667
0.33333333
0.11111111
7
4.666666667
2.33333333
5.44444444
8
4.666666667
3.33333333
11.1111111
8
4.666666667
3.33333333
11.1111111
9
4.666666667
4.33333333
18.7777778
9
4.666666667
4.33333333
18.7777778
112.306667
a) X = 70 / 15 = 4.666666667
b) Mo = 2
c) M = 4
d) *2 = 112.306667 / 15 = 7.48871
* = 2.7362
e) C.V. =(2.7362 / 4.666666667) (100) = 58.63%
B)Las distancias medidas -en cuadras a que viven 10 empleados de una empresa respecto a su lugar de trabajo son: 1 1,20,12,11,14,8,16,5,7,13.
Xi
X
Xi - X
(Xi - X) 2
5
11.7
-6.7
44.89
7
11.7
-4.7
22.09
8
11.7
-3.7
13.69
11
11.7
-0.7
0.49
11
11.7
-0.7
0.49
12
11.7
0.3
0.09
13
11.7
1.3
1.69
14
11.7
2.3
5.29
16
11.7
4.3
18.49
20
11.7
8.3
68.89
176.1
a) X = 117 / 10 = 11.7
b) Mo = 11
c) M = 11 + 12 / 2 = 11.5
d) *2 = 176.1/ 10 = 17.61
* = 4.1964
e) C.V. =(2.7362 / 4.666666667) (100) = 35.86%
A 11 personas que participaron en un experimenta de sicología se les pidió que memorizaran una lista de 10 palabras. Más tarde se les solicitó que recordaran el mayor número de ellas.
Los resultados fueron los siguientes: 6,4,8,9,10,61>5,8,9,4,8.
Xi
X
Xi - X
(Xi - X) 2
4
7
-3
9
4
7
-3
9
5
7
-2
4
6
7
-1
1
6
7
-1
1
8
7
1
1
8
7
1
1
8
7
1
1
9
7
2
4
9
7
2
4
10
7
3
9
44
a) X = 77 / 11 = 7
b) Mo = 8
c) M = 8
d) *2 = 44 / 10 = 4.4
* = 2.09
e) C.V. =(2.09 / 7) (100) = 29.96%
2.- A continuación se encuentran en la tabla los valores promedios de aprovechamiento de 30 estudiantes universitarios.
1.4
1.8
2
2.2
2.4
1.4
1.9
2
2.2
2.5
1.5
1.9
2.1
2.2
2.6
1.6
2
2.1
2.3
2.6
1.6
2
2.2
2.3
2.9
1.7
2
2.2
2.4
3.5
Obtenga: a) Tabla de frecuencias; b)Histograma, c) Ojiva, d) Pastel, d) Media e) Moda, g) Mediana, h) Varianza y Desviación estándar
i) El coeficiente de variación.
RANGO
3.5 - 1.4 = 2.1
NUMERO DE CLASES
5 <= K <= 20
K = 5
AMPLITUD
2.1 / 5 = 0.42
LIMITES
MAR. CLASE
FREC
FREC. RELATIVA
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Enviado por: Lizbeth Peñuelas Idioma: castellanoPaís: España