contaduria publica

TALLER ESTADISTICA
Los siguientes son las notas obtenidos de 100 candidatos que se presentaron a un concurso.
Presentar dichos datos en una tabla de intervalos de clase y sus graficas (Histograma ycircular).
Determinar Moda,Media y Mediana.

38
71
16
55
13
63
98
12
18
33

51
62
62
100
92
28
51
42
22
52

NOTAS OBTENIDAS
65
25
28
37
8
24
37
4
17
16
72
64
4358
52
19
56
84
3
17
43
68
77
45
34
5
59
40
38
54

32
50
50
46
37
36
62
34
70
14

34
89
75
61
88
38
47
60
20
50

12
47
94
33
27
6
54
31
68
11

29
812
59
74
42
58
72
55
41

TABLA DE INTERVALOS DE CLASE
NOTAS
(0-10]
(10-20]
(20-30]
(30-40]
(40-50]
(50-60]
(60-70]
(70-80]
(80-90]
(90-100]
Ʃ

mi

f
5
15
25
35
45
5565
75
85
95

7
12
10
15
14
15
11
7
4
5
100

(mi x f ) fr
fr%
F
35 0.07
7.00%
180 0.12
12.00%
250 0.10
10.00%
525 0.15
15.00%
630 0.14
14.00%
825 0.15
15.00%
715 0.1111.00%
525 0.07
7.00%
340 0.04
4.00%
475 0.05
5.00%
4,500 1.00 100.00%

Fr
7
19
29
44
58
73
84
91
95
100

Fr%
0.07
0.19
0.29
0.44
0.58
0.73
0.84
0.91
0.95
1.00

7.00%19.00%
29.00%
44.00%
58.00%
73.00%
84.00%
91.00%
95.00%
100.00%

99
53
25
1
66
50
26
23
49
76

GRAFICAS DE DATOS AGRUPADOS

HISTOGRAMA

16
14

(0-10]

12

(10-20]
10(20-30]

(30-40]

8

(40-50]
6

(50-60]
(60-70]

4

(70-80]

2

(80-90]
0

(90-100]

CIRCULAR
4; 4%
5; 5% 7; 7%
7; 7%

(0-10]
12; 12%

11; 11%

(10-20]
10; 10%(20-30]
(30-40]

15; 15%

15; 15%

14; 14%

(40-50]

(50-60]
(60-70]
(70-80]
(80-90]
(90-100]

MEDIDAS DE TENDENCIA CENTRAL (DATOS AGRUPADOS)
MEDIA
FORMULA

DATOS
x
xi

MediaAritmetica
Marca de Clase (promedio de la suma del Linf y Lsup)
Linf + Lsup
2
frecuencia
Suma de las frecuencias

xi=
fi
N
NOTAS
(0-10]
(10-20]
(20-30]
(30-40]
(40-50]
(50-60]...