Taller 11
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TALLER No. 12 1)
Xi
fi
f
fri
fia
0 1 2 3 4 5 6
90 72 26 8 3 0 1 200
90 162 188 196 199 199 200
0.45 0.36 0.13 0.04 0.02 0.00 0.01 1.00
0.45 0.81 0.94 0.98 1 1 1
Xi
fi
f
fri
fia
50 60 70 80 90
3 8 5 3 1 20
3 11 16 19 20
0.15 0.40 0.25 0.15 0.05 1.00
0.15 0.55 0.8 0.95 1
2)
Diagrama de tallo y hoja 5 2 5 7 6 1 3 4 5 7 8 9 1 7 2 4 7 9 4 8 2 4 8 63 9 3 88 74 61
Rango= valor maximo-valor minimo Rango= 41 52 55 57 61
68 69 72 74
77 79 82 84
65 67 93 64
3)
Xi
fi
f
fri
fia
0 1 2 3 4 5 6 7
6 11 9 11 7 4 3 1 52
90 101 110 121 128 132 135 133
0.12 0.21 0.17 0.21 0.13 0.08 0.06 1.00 1.98
1.73 1.94 2.12 2.33 2.46 2.54 2.6 2.56 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1 1
Datos 2 3 4 2 3 4 2 3 4 2 3 4 2 3 4 2 3 4 2 3 4 2 3 2 3 3 3
5 6 7 5 6 5 6 5
4)
Xi 6.2 10.1 14.0 17.9 21.8 25.7
10.0 13.9 17.8 21.7 25.6 29.5
fi
f
fri
fia
3 6 7 5 5 4 30
3 9 16 21 26 30
0.1 0.2 0.2 0.2 0.2 0.1 1
0.1 0.3 0.5 0.7 0.9 1
Rango= valor maximo-valor minimo Rango= 22.4 6.2 11.2 12.8 13.2 13.9 24.8
A=
9 14.7 15.5 15.8 16.7 26.1
9.8 17.3 17.5 17.6 18 26.8
10.7 18.7 19.4 20.5 20.9 26.9
R K
A = amplitud int ervalo K = cantidad int ervalo K = 1 + 3.322( log n ) n = total datos K= 5.91 A= 3.8
11 22.7 22.7 23.7 23.9 28.6
Xi
fi
f
fri
fia
0 1 2 3 4 5 6
90 72 26 8 3 0 1 200
90 162 188 196 199 199 200
0.45 0.36 0.13 0.04 0.02 0.00 0.01 1.00
0.45 0.81 0.94 0.98 1 1 1
Xi
fi
f
fri
fia
50 60 70 80 90
3 8 5 3 1 20
3 11 16 19 20
0.15 0.40 0.25 0.15 0.05 1.00
0.15 0.55 0.8 0.95 1
2)
Diagrama de tallo y hoja 5 2 5 7 6 1 3 4 5 7 8 9 1 7 2 4 7 9 4 8 2 4 8 63 9 3 88 74 61
Rango= valor maximo-valor minimo Rango= 41 52 55 57 61
68 69 72 74
77 79 82 84
65 67 93 64
3)
Xi
fi
f
fri
fia
0 1 2 3 4 5 6 7
6 11 9 11 7 4 3 1 52
90 101 110 121 128 132 135 133
0.12 0.21 0.17 0.21 0.13 0.08 0.06 1.00 1.98
1.73 1.94 2.12 2.33 2.46 2.54 2.6 2.56 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1 1
Datos 2 3 4 2 3 4 2 3 4 2 3 4 2 3 4 2 3 4 2 3 4 2 3 2 3 3 3
5 6 7 5 6 5 6 5
4)
Xi 6.2 10.1 14.0 17.9 21.8 25.7
10.0 13.9 17.8 21.7 25.6 29.5
fi
f
fri
fia
3 6 7 5 5 4 30
3 9 16 21 26 30
0.1 0.2 0.2 0.2 0.2 0.1 1
0.1 0.3 0.5 0.7 0.9 1
Rango= valor maximo-valor minimo Rango= 22.4 6.2 11.2 12.8 13.2 13.9 24.8
A=
9 14.7 15.5 15.8 16.7 26.1
9.8 17.3 17.5 17.6 18 26.8
10.7 18.7 19.4 20.5 20.9 26.9
R K
A = amplitud int ervalo K = cantidad int ervalo K = 1 + 3.322( log n ) n = total datos K= 5.91 A= 3.8
11 22.7 22.7 23.7 23.9 28.6
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