Estadistica

1. Construya una tabla de frecuencias, utilizando los siguientes datos:
55, 55, 60, 60, 65, 66, 66, 66, 67, 67, 67, 67, 68, 68, 68, 69, 70, 74, 76, 76, 77, 77, 77, 78, 78, 78, 78, 78, 80, 82, 84,86, 88, 89, 89, 90, 90, 91, 92, 93, 96, 98.
a) Media Aritmética
X= 3199/42 = 76.17
b) Mediana
42 +1 = 43/2 = 21
Md = 77
c) Moda
Moda = 78

x Tabulación f fa fi p% fia pa
55 II 2 2 0.05 5%0.05 5%
60 II 2 4 0.05 5% 0.10 10%
65 I 1 5 0.02 2% 0.12 12%
66 III 3 8 0.07 7% 0.19 19%
67 IIII 4 12 0.10 10% 0.29 29%
68 III 3 15 0.07 7% 0.36 36%
69 I 1 16 0.02 2% 0.38 38%
70 I 1 17 0.02 2%0.40 40%
74 I 1 18 0.02 2% 0.43 43%
76 II 2 20 0.05 5% 0.48 48%
77 III 3 23 0.07 7% 0.55 55%
78 IIIII 5 28 0.12 12% 0.67 67%
80 I 1 29 0.02 2% 0.69 69%
82 I 1 30 0.02 2% 0.71 71%
84 I 1 31 0.022% 0.74 74%
86 I 1 32 0.02 2% 0.76 76%
88 I 1 33 0.02 2% 0.79 79%
89 II 2 35 0.05 5% 0.83 83%
90 II 2 37 0.05 5% 0.88 88%
91 I 1 38 0.02 2% 0.90 90%
92 1 1 39 0.02 2% 0.93 93%
93 I 1 40 0.02 2%0.95 95%
96 1 1 41 0.02 2% 0.98 98%
98 I 1 42 0.02 2% 1.00 100%

2. Construya una tabla con intervalos utilizando los siguientes datos.
145, 146, 147, 147, 150, 154, 156, 158, 160,160, 160, 160, 160, 160, 160, 160, 161, 162, 165, 165, 165, 166, 167, 167, 168, 169, 169, 171, 176, 179,
Intervalos Límites Reales f xi fi p% fa fiaPa f.xi
145 - 150 144.5 - 150.5 5 147.5 0.17 17% 5 0.17 16.67 737.5
151 - 156 150.5 - 156.5 2 153.5 0.07 7% 7 0.23 23.33 307
157 - 162 156.5 - 162.5 11 159.5 0.37 37% 18 0.60 60.00 1754.5163 - 168 162.5 - 168.5 7 165.5 0.23 23% 25 0.83 83.33 1158.5
169 - 174 168.5 - 174.5 3 171.5 0.10 10% 28 0.93 93.33 514.5
175 - 180 174.5 - 180.5 2 177.5 0.07 7% 30 1.00 100.00 355R =
K = 1 + 3.33 log
I = R/K =
d) Media Aritmética
Intervalos f xi f.xi
145 - 150 5 147.5 737.50
151 - 156 2 153.5 307.00
157 - 162 11 159.5 1754.50
163 - 168 7 165.5 1158.50...