Sergio Docs

1.- LOS PESOS DE 20 ANILLOS EN GRAMOS SON LOS SIGUIENTES
0.098 | 0.098 | 0.094 | 0.098 |
0.106 | 0.094 | 0.093 | 0.099 |
0.103 | 0.094 | 0.105 | 0.103 |
0.094 | 0.103 | 0.106 | 0.094 |
0.106 | 0.106 | 0.094 | 0.094 |
PESOS | MARCAS | FREC. ABSOLUTA | FREC. RELATIVA. | FREC. ACUMULADA | FREC. RELA. ACUMULADA |
0.093 | I | 1 | 0.05 | 1 | 0.05 |
0.094 | IIIIIII | 7 | 0.35 | 8 |0.4 |
0.098 | III | 3 | 0.15 | 11 | 0.55 |
0.099 | I | 1 | 0.05 | 12 | 0.6 |
0.103 | III | 3 | 0.15 | 15 | 0.75 |
0.105 | I | 1 | 0.05 | 16 | 0.8 |
0.106 | IIII | 4 | 0.2 | 20 | 1 |
| | 20 | 1 | | |
DATOS NO AGRUPADOS



Media x = 1.98 = .099 Mediana = .098+.098 = .098 Moda= 0.094
202
Varianza S2 = .004913 = .000024 Desviación estándar S(raíz S2)= .004
20
Coeficiente de variación= S (100) = .004 (100) CV= 4.04%
X .099

DATOS AGRUPADOS
INTERVALO | MARCAS | FREC. ABSOLUTA | FREC. RELATIVA | FREC. ACUMULADA | FREC. RELAT. ACUM. |
.093-.097 | 0.095 | 8 | 0.4 | 8| 0.4 |
.098-.102 | 0.1 | 4 | 0.2 | 12 | 0.6 |
.103-.107 | 0.105 | 8 | 0.4 | 20 | 1 |
| | 20 | 1 | | |

Media= (.095*8)+(.1*4)+(.105*8) = .1 Mediana= .098+ 20+1 – 8 (.005)= .10
20 24
Moda= .103 +.005 4 =.10 Varianza= .0004/20 = .00002
8+4

Desviación estándar= √.00002 =.004 CV= .004/.1 (100) = 4%

2.- SE TOMARON LAS ESTATURAS EN CMS. DE NIÑOS DE 4 AÑOS DE EDAD Y SE OBTUVIERON LOS SIGUIENTES DATOS
58 | 65 | 75 | 100 | 77 |
95 | 76 | 60 | 124 | 82 |
125 | 110 | 75 | 80 | 100|
96 | 110 | 82 | 151 | 102 |
136 | 140 | 121 | 101 | 113 |

NO AGRUPADOS
CMS | MARCAS | FREC. ABSOLUTA | FREC. RELATIVA | FREC. ABS. ACUM. | FREC. REL. ACUM. |
58 | I | 1 | 0.04 | 1 | 0.04 |
60 | I | 1 | 0.04 | 2 | 0.08 |
65 | I | 1 | 0.04 | 3 | 0.12 |
75 | II | 2 | 0.08 | 5 | 0.2 |
76 | I | 1 | 0.04 | 6 | 0.24 |
77 | I | 1 | 0.04 | 7 | 0.28 |
80 | I | 1 | 0.04 | 8 |0.32 |
82 | II | 2 | 0.08 | 10 | 0.4 |
95 | I | 1 | 0.04 | 11 | 0.44 |
96 | I | 1 | 0.04 | 12 | 0.48 |
100 | II | 2 | 0.08 | 14 | 0.56 |
101 | I | 1 | 0.04 | 15 | 0.6 |
102 | I | 1 | 0.04 | 16 | 0.64 |
110 | II | 2 | 0.08 | 18 | 0.72 |
113 | I | 1 | 0.04 | 19 | 0.76 |
121 | I | 1 | 0.04 | 20 | 0.8 |
124 | I | 1 | 0.04 | 21 | 0.84 |
125 | I | 1 | 0.04 | 22 | 0.88 |
136| I | 1 | 0.04 | 23 | 0.92 |
140 | I | 1 | 0.04 | 24 | 0.96 |
151 | I | 1 | 0.04 | 25 | 1 |
| | 25 | 1 | | |

Media= 2454 = 98.16 Mediana= 100 Moda = 82
25

Varianza S2= 15,461.36 = 618.45 Desv. Estándar S=√618.45 = 24.86
25
Coeficiente de variación= 24.86 (100) = 25.32%98.16

DATOS AGRUPADOS
INTERVALO | MARCAS | FREC. ABS. | FREC. RELAT. | FREC. ACUM. | FREC. ACUMULADA.RELATIVA |
58-67 | 62.5 | 3 | 0.12 | 3 | 0.12 |
68-77 | 72.5 | 4 | 0.16 | 7 | 0.28 |
78-87 | 82.5 | 3 | 0.12 | 10 | 0.4 |
88-97 | 92.5 | 2 | 0.08 | 12 | 0.48 |
98-107 | 102.5 | 4 | 0.16 | 16 | 0.64 |
108-117 | 112.5 | 3 | 0.12 | 19 | 0.76 |
118-127 |122.5 | 3 | 0.12 | 22 | 0.88 |
128-137 | 132.5 | 1 | 0.04 | 23 | 0.92 |
138-147 | 142.5 | 1 | 0.04 | 24 | 0.96 |
148-157 | 152.5 | 1 | 0.04 | 25 | 1 |
| | 25 | | | |

Rango= 151-58 = 93 Intervalo = 93/10 = 9.3 = 10

Media = 2,360/25 = 94.4 Mediana = 103 + 25+1 – 12 (10) = 105.85
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