Taller 12
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GUIA N° 12
xi
fi 10 20 30 40 50 60 70
fai 8 11 6 8 7 8 2 50
fri 0 19 25 33 40 48 50
Media 35.4 Mediana 22.3 Moda 20.4
22.00%
4.00% 16.00%
Row 3 Row 7
Row 8
Row 9
xifi 0.00 0.38 0.50 0.66 0.80 0.96 1.00
Datos sin agrupar
80 220 180 320 350 480 140 1770
16% 22% 12% 16% 14% 16% 4%
1 2 3 4 5 6 7
12.5 10
5 Row 6
11 12 12 14 15
2.5 0 10
20
30
40
17 18 19 20 21
21 22 23 23 23
25 28 28 29 30
32 32 32 34 37
40 40 41 43 43
45 46 47 50 50
51 53 54 55 56
61 63 65 65 66
67 68 68 70 71
Grafico de tallo y hoja
7.5
14.00%
12.00% 16.00% Row 4 Row 5
0.16 0.22 0.12 0.16 0.14 0.16 0.04 1.00 N/2 25
Diagrama Circular 16.00%
fia
50
60
70
1 0 0 0 0 1 0
2 1 2 0 0 3 1
2 1 2 1 1 5
4 2 2 3 3 5
5 3 4 3 4 6
7 3 7 5 5 7
8 3
9 5
6 6 8
7 8
8 8 9
50
12.5
40
10 7.5
30
5
20
2.5
10
0 10
0 0
20
40
60
80
20
30
40
50
60
70
Xi
fi
0,0-19,9 20-39,9 40-59,9 60-79,9 80-99,9 100-119,9 120-139,9
fai 16 38 35 20 11 4 1 125
fri 0 54 89 109 120 124 125
fia 0.13 0.30 0.28 0.16 0.09 0.03 0.01 1.00
0 0.43 0.71 0.87 0.96 0.99 1.00
13% 30% 28% 16% 9% 3% 1%
Diagrama Circular 12.80%
0.80% 3.20% 8.80% 16.00%
30.40% 28.00%
40 35
0,0-19,9
20-39,9
40-59,9
30
60-79,9 120-139,9
80-99,9
100-119,9
25 20 15
1 11 0 0 9, 9 1 13 20 9, 9
30 8 99 0,9
0 6 79 0 ,9
35
4 59 0,9
5
2 39 0 ,9
40
0 19 ,0,9
10
25 20 15 10 5 0 0
0.2
0.4
0.6
0.8
1
Xi 4.6 5.4 6.1 6.9 7.6 8.4 9.2
fi 5.3 6.0 6.8 7.5 8.3 9.1 9.8
4.6 4.6 4.6 4.8 4.9 5 5 5.2 5.3 5.4 5.4 5.5 6 6
fai 9 5 11 20 15 5 5 70
fri 0 14 25 45 60 65 70
Datos sin agrupar 6.2 7.1 6.3 7.1 6.5 7.2 6.5 7.2 6.5 7.3 6.5 7.3 6.5 7.4 6.6 7.4 6.6 7.4 6.6 7.4 6.7 7.5 7 7.5 7 7.5 7.1 7.5
fia
Prom. Int.
0.13 0.07 0.16 0.29 0.21 0.07 0.07 1
0.00 0.20 0.36 0.64 0.86 0.93 1
7.5 7.5 7.5 7.6 7.9 7.9 7.9 8 8 8 8 8.1 8.1 8.2
8.2 8.2 8.3 8.3 8.5 8.5 8.6 9 9 9.2 9.2 9.2 9.3 9.3
4.9 5.7 6.4 7.2 8.0 8.7 9.5
Xifi 44.4 28.4 70.9 144.1 119.5 43.6 47.4 498.4
Media Mediana Moda N/2
7.1 7.2 7.3 35
Rango 4.7 Amplitud de 0.7 rango Log 1.85
20
20
15
17.5 15
10
12.5 10
5
7.5 5
0 Row 2
Row 3
Row 4
Row 5
Row 6
Row 7
2.5 0
Row 8
Row Row Row Row Row Row Row 2 3 4 5 6 7 8
70 60 50 40 30 20 10 0 Row 2
Row 3
Row 4
Row 5
Row 6
Row 7
Row 8
xi
fi 10 20 30 40 50 60 70
fai 8 11 6 8 7 8 2 50
fri 0 19 25 33 40 48 50
Media 35.4 Mediana 22.3 Moda 20.4
22.00%
4.00% 16.00%
Row 3 Row 7
Row 8
Row 9
xifi 0.00 0.38 0.50 0.66 0.80 0.96 1.00
Datos sin agrupar
80 220 180 320 350 480 140 1770
16% 22% 12% 16% 14% 16% 4%
1 2 3 4 5 6 7
12.5 10
5 Row 6
11 12 12 14 15
2.5 0 10
20
30
40
17 18 19 20 21
21 22 23 23 23
25 28 28 29 30
32 32 32 34 37
40 40 41 43 43
45 46 47 50 50
51 53 54 55 56
61 63 65 65 66
67 68 68 70 71
Grafico de tallo y hoja
7.5
14.00%
12.00% 16.00% Row 4 Row 5
0.16 0.22 0.12 0.16 0.14 0.16 0.04 1.00 N/2 25
Diagrama Circular 16.00%
fia
50
60
70
1 0 0 0 0 1 0
2 1 2 0 0 3 1
2 1 2 1 1 5
4 2 2 3 3 5
5 3 4 3 4 6
7 3 7 5 5 7
8 3
9 5
6 6 8
7 8
8 8 9
50
12.5
40
10 7.5
30
5
20
2.5
10
0 10
0 0
20
40
60
80
20
30
40
50
60
70
Xi
fi
0,0-19,9 20-39,9 40-59,9 60-79,9 80-99,9 100-119,9 120-139,9
fai 16 38 35 20 11 4 1 125
fri 0 54 89 109 120 124 125
fia 0.13 0.30 0.28 0.16 0.09 0.03 0.01 1.00
0 0.43 0.71 0.87 0.96 0.99 1.00
13% 30% 28% 16% 9% 3% 1%
Diagrama Circular 12.80%
0.80% 3.20% 8.80% 16.00%
30.40% 28.00%
40 35
0,0-19,9
20-39,9
40-59,9
30
60-79,9 120-139,9
80-99,9
100-119,9
25 20 15
1 11 0 0 9, 9 1 13 20 9, 9
30 8 99 0,9
0 6 79 0 ,9
35
4 59 0,9
5
2 39 0 ,9
40
0 19 ,0,9
10
25 20 15 10 5 0 0
0.2
0.4
0.6
0.8
1
Xi 4.6 5.4 6.1 6.9 7.6 8.4 9.2
fi 5.3 6.0 6.8 7.5 8.3 9.1 9.8
4.6 4.6 4.6 4.8 4.9 5 5 5.2 5.3 5.4 5.4 5.5 6 6
fai 9 5 11 20 15 5 5 70
fri 0 14 25 45 60 65 70
Datos sin agrupar 6.2 7.1 6.3 7.1 6.5 7.2 6.5 7.2 6.5 7.3 6.5 7.3 6.5 7.4 6.6 7.4 6.6 7.4 6.6 7.4 6.7 7.5 7 7.5 7 7.5 7.1 7.5
fia
Prom. Int.
0.13 0.07 0.16 0.29 0.21 0.07 0.07 1
0.00 0.20 0.36 0.64 0.86 0.93 1
7.5 7.5 7.5 7.6 7.9 7.9 7.9 8 8 8 8 8.1 8.1 8.2
8.2 8.2 8.3 8.3 8.5 8.5 8.6 9 9 9.2 9.2 9.2 9.3 9.3
4.9 5.7 6.4 7.2 8.0 8.7 9.5
Xifi 44.4 28.4 70.9 144.1 119.5 43.6 47.4 498.4
Media Mediana Moda N/2
7.1 7.2 7.3 35
Rango 4.7 Amplitud de 0.7 rango Log 1.85
20
20
15
17.5 15
10
12.5 10
5
7.5 5
0 Row 2
Row 3
Row 4
Row 5
Row 6
Row 7
2.5 0
Row 8
Row Row Row Row Row Row Row 2 3 4 5 6 7 8
70 60 50 40 30 20 10 0 Row 2
Row 3
Row 4
Row 5
Row 6
Row 7
Row 8
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