Taller 12
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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
fia 0.16 0.22 0.12 0.16 0.14 0.16 0.04 1.00
xifi 0.00 0.38 0.50 0.66 0.80 0.96 1.00
80 220 180 320 350 480 140 1770
16% 22% 12% 16% 14% 16% 4%
Datos sin ag 11 12 12 14 15
17 18 19 20 21
Grafico de tall
Media 35.4 Mediana 22.3 Moda 20.4
N/2 25 50
Diagrama Circular 16.00%
22.00%
4.00% 16.00%
14.00%
12.00%
1 2 3 4 5 6 7
Row 2 Row 3 Row 4 Row 5 Row 6 Row 7 Row 8
16.00%
40 30 20 10 0 0
12.5 10
12.5
7.5
10
5
7.5
2.5
5
0
2.5 10 20 30 40 50 60 70
20
40
60
80
0 10
20
30
40
50
60
70
1 0 0 0 0 1 0
Datos sin agrupar 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 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
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%
40
Diagrama Circular
35
12.80%
30
0.80% 3.20%
8.80%
25 20
16.00%
15 10
30.40%
5
1 11 0 0 9, 9 12 13 0 9, 9
8 99 0 ,9
6 79 0,9
4 59 0 ,9
2 39 0 ,9
0 19 ,0,9
0 28.00%
40 35 30 25 20 15 10 5 0 0
0.2
0.4
0.6
0.8
1
Diagrama Circular 0.80% 3.20%
8.80%
16.00%
0,0-19,9 20-39,9 40-59,9 60-79,9 80-99,9 100-119,9 120-139,9
28.00%
TALLER No. 12
Xi
fi
fai
fri
4.6 5.4 6.1 6.9 7.6 8.4 9.2
5.3 6.0 6.8 7.5 8.3 9.1 9.8
9 5 11 20 15 5 5 70
0 14 25 45 60 65 70
4.6 4.6 4.6 4.8 4.9 5 5 5.2 5.3 5.4 5.4 5.5 6 6
6.2 6.3 6.5 6.5 6.5 6.5 6.5 6.6 6.6 6.6 6.7 7 7 7.1
7.1 7.1 7.2 7.2 7.3 7.3 7.4 7.4 7.4 7.4 7.5 7.5 7.5 7.5
7.5 7.5 7.5 7.6 7.9 7.9 7.9 8 8 8 8 8.1 8.1 8.2
fia 0.13 0.07 0.16 0.29 0.21 0.07 0.07 1
20
15
17.5 15
10
12.5 10
5
7.5 5 Row 6
Row 7
Row 8
Row 9
Row 10
Row 11
0.00 0.20 0.36 0.64 0.86 0.93 1
4.9 5.7 6.4 7.2 8.0 8.7 9.5
8.2 8.2 Media 8.3 Mediana 8.3 Moda 8.5 N/2 8.5 8.6 9 Rango 4.7 9 Amplitud de 0.7 rango 9.2 9.2 Log 1.85 9.2 9.3 9.3
20
0 Row 5
Prom. Int.
2.5 0 Row 5
Row 6
Row 7
Row 8
60 50 40 30 20 10 Row 6
Row 7
Row 8
44.4 28.4 70.9 144.1 119.5 43.6 47.4 498.4
7.1 7.2 7.3 35
70
0 Row 5
Xifi
Row 9
Row 10
Row 11
Row 9
Row 10
Row 11
40 30 20 10 0 Row 5
Row 6
Row 7
Row 8
Row 9
Row 10
Row 11
w
Row 9
Row 10
Row 11
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
fia 0.16 0.22 0.12 0.16 0.14 0.16 0.04 1.00
xifi 0.00 0.38 0.50 0.66 0.80 0.96 1.00
80 220 180 320 350 480 140 1770
16% 22% 12% 16% 14% 16% 4%
Datos sin ag 11 12 12 14 15
17 18 19 20 21
Grafico de tall
Media 35.4 Mediana 22.3 Moda 20.4
N/2 25 50
Diagrama Circular 16.00%
22.00%
4.00% 16.00%
14.00%
12.00%
1 2 3 4 5 6 7
Row 2 Row 3 Row 4 Row 5 Row 6 Row 7 Row 8
16.00%
40 30 20 10 0 0
12.5 10
12.5
7.5
10
5
7.5
2.5
5
0
2.5 10 20 30 40 50 60 70
20
40
60
80
0 10
20
30
40
50
60
70
1 0 0 0 0 1 0
Datos sin agrupar 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 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
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%
40
Diagrama Circular
35
12.80%
30
0.80% 3.20%
8.80%
25 20
16.00%
15 10
30.40%
5
1 11 0 0 9, 9 12 13 0 9, 9
8 99 0 ,9
6 79 0,9
4 59 0 ,9
2 39 0 ,9
0 19 ,0,9
0 28.00%
40 35 30 25 20 15 10 5 0 0
0.2
0.4
0.6
0.8
1
Diagrama Circular 0.80% 3.20%
8.80%
16.00%
0,0-19,9 20-39,9 40-59,9 60-79,9 80-99,9 100-119,9 120-139,9
28.00%
TALLER No. 12
Xi
fi
fai
fri
4.6 5.4 6.1 6.9 7.6 8.4 9.2
5.3 6.0 6.8 7.5 8.3 9.1 9.8
9 5 11 20 15 5 5 70
0 14 25 45 60 65 70
4.6 4.6 4.6 4.8 4.9 5 5 5.2 5.3 5.4 5.4 5.5 6 6
6.2 6.3 6.5 6.5 6.5 6.5 6.5 6.6 6.6 6.6 6.7 7 7 7.1
7.1 7.1 7.2 7.2 7.3 7.3 7.4 7.4 7.4 7.4 7.5 7.5 7.5 7.5
7.5 7.5 7.5 7.6 7.9 7.9 7.9 8 8 8 8 8.1 8.1 8.2
fia 0.13 0.07 0.16 0.29 0.21 0.07 0.07 1
20
15
17.5 15
10
12.5 10
5
7.5 5 Row 6
Row 7
Row 8
Row 9
Row 10
Row 11
0.00 0.20 0.36 0.64 0.86 0.93 1
4.9 5.7 6.4 7.2 8.0 8.7 9.5
8.2 8.2 Media 8.3 Mediana 8.3 Moda 8.5 N/2 8.5 8.6 9 Rango 4.7 9 Amplitud de 0.7 rango 9.2 9.2 Log 1.85 9.2 9.3 9.3
20
0 Row 5
Prom. Int.
2.5 0 Row 5
Row 6
Row 7
Row 8
60 50 40 30 20 10 Row 6
Row 7
Row 8
44.4 28.4 70.9 144.1 119.5 43.6 47.4 498.4
7.1 7.2 7.3 35
70
0 Row 5
Xifi
Row 9
Row 10
Row 11
Row 9
Row 10
Row 11
40 30 20 10 0 Row 5
Row 6
Row 7
Row 8
Row 9
Row 10
Row 11
w
Row 9
Row 10
Row 11
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