Taller No. 13
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TALLER No. 13
1) Xi 34,834 36694.2 38554.4 40414.6 42274.8 44135.0
36694.1 38554.3 40414.5 42274.7 44134.9 45995.1
Fi 3 3 4 3 4 1 18
Fai 0 6 10 13 17 18
Fri 0.17 0.17 0.22 0.17 0.22 0.06 1
Fra 0.00 0.33 0.56 0.72 0.94 1.00
P.inte 4.93 5.69 6.45 7.21 7.97 8.73
P*Fi 44.37 28.44 70.93 144.15 119.50 43.63
Rango= valor maximo-valor minimo Rango= 9,616.7
A=
R K
A =amplitud
int ervalo
K =cantidad
int ervalo
n =total
K =1 +3.322(log n )
datos
K= 5.2 A= 1860.1
Población
Grafica de series de tiempo 45000 44000 43000 42000 41000 40000 39000 38000 37000 36000 35000 34000 1990
1992.5
1995
1997.5
2000 Años
4 3.5 3 2.5 2
2002.5
2005
2007.5
2010
4 3.5 3 2.5 2 1.5 1 0.5 0 Row 6
Row 7
Row 8
Row 9
Row 10
Row 11
Datos 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008
mpo
2005
2007.5
2010
34,834 35,530 36,208 36,863 37,490 38,077 38,646 39,201 39,746 40,282 40,806 41,327 41,847 42,368 42,889 43,405 43,926 44,450
w 10
Row 11
2) Xi 88.54 91.00 93.47 95.93 98.39 100.85
Fi 3 9 2 3 8 3 28
90.90 93.37 95.83 98.29 100.75 103.22
Fai 0 12 14 17 25 28
Fri 0.11 0.32 0.07 0.11 0.29 0.11 1
Fra 0.00 0.43 0.50 0.61 0.89 1.00
P.inte 89.72 92.18 94.65 97.11 99.57 102.04
P*Fi 269.16 829.66 189.29 291.33 796.58 306.11
Rango= valor maximo-valor minimo Rango= 13.7
A=
R K
A =amplitud
int ervalo
K =cantidad
int ervalo
n =total
K =1 +3.322(log n )
datos
K= 5.8 A= 2.4 10.71%
10.71%
28.57%
32.14%
7.14% 10.71% Row 4
30 27.5 25 22.5 20 17.5
Row 5
Row 6
Row 7
Row 8
Row 9
11% 32% 7% 11% 29% 11%
30 27.5 25 22.5 20 17.5 15 12.5 10 7.5 5 2.5 0 Row 4
Row 5
Row 6
Row 7
Row 8
Row 9
9 8 7 6 5 4 3 2 1 0 Row 4
Row 5
Row 6
Row 7
Row 8
Row 9
9 8 7 6 5 4 3 2 1 0 Row 4
Row 5
Row 6
Row 7
Row 8
Row 9
88.54 89.58 90.67 91.48 91.76 91.87 92.02 91.90 91.97 91.98 92.42 92.87 93.85 95.27
98.47 98.94 99.13 98.94 99.28 99.56 100.00 100.59 101.43 101.94 102.26 96.04 96.72 97.62
Row 9
Row 9
Row 9
3) Xi 3.5 7.9 12.2 16.6 20.9 25.3 29.7
7.8 12.1 16.5 20.8 25.2 29.6 33.9
Fi 2 4 7 18 12 6
Fai 0 6 13 31 43 49 50
1 50
Fri 0.04 0.08 0.14 0.36 0.24 0.12 0.02 1
Fra 0.00 0.12 0.26 0.62 0.86 0.98 1.00
P.inte 5.63 9.99 14.35 18.71 23.07 27.43 31.79
Rango= valor maximo-valor minimo Rango= 28.3
A=
R K
A =amplitud
int ervalo
K =cantidad
int ervalo
n =total
K =1 +3.322(log n )
datos
K= 6.6 A= 4.3
La variable es cuantitativa continua, ya que estas estan expresadas en numeros
3.5 7.7 8.3 9.4 10.5 11.8 12.3 13.3 14.4 14.5
Datos 15.2 15.9 16.2 16.9 17.0 17.9 18.0 18.1 18.1 18.4
18.5 19.0 19.1 19.2 19.3 19.4 20.0 20.1 20.1 20.4
20.8 21.4 21.6 21.9 22.3 22.5 22.9 23.0 23.5 24.1
24.3 24.6 24.6 25.7 25.9 26.6 27.5 28.5 29.6 31.8
P*Fi 11.26 39.96 100.44 336.75 276.81 164.56 31.79
4% 8% 14% 36% 24% 12% 2%
1) Xi 34,834 36694.2 38554.4 40414.6 42274.8 44135.0
36694.1 38554.3 40414.5 42274.7 44134.9 45995.1
Fi 3 3 4 3 4 1 18
Fai 0 6 10 13 17 18
Fri 0.17 0.17 0.22 0.17 0.22 0.06 1
Fra 0.00 0.33 0.56 0.72 0.94 1.00
P.inte 4.93 5.69 6.45 7.21 7.97 8.73
P*Fi 44.37 28.44 70.93 144.15 119.50 43.63
Rango= valor maximo-valor minimo Rango= 9,616.7
A=
R K
A =amplitud
int ervalo
K =cantidad
int ervalo
n =total
K =1 +3.322(log n )
datos
K= 5.2 A= 1860.1
Población
Grafica de series de tiempo 45000 44000 43000 42000 41000 40000 39000 38000 37000 36000 35000 34000 1990
1992.5
1995
1997.5
2000 Años
4 3.5 3 2.5 2
2002.5
2005
2007.5
2010
4 3.5 3 2.5 2 1.5 1 0.5 0 Row 6
Row 7
Row 8
Row 9
Row 10
Row 11
Datos 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008
mpo
2005
2007.5
2010
34,834 35,530 36,208 36,863 37,490 38,077 38,646 39,201 39,746 40,282 40,806 41,327 41,847 42,368 42,889 43,405 43,926 44,450
w 10
Row 11
2) Xi 88.54 91.00 93.47 95.93 98.39 100.85
Fi 3 9 2 3 8 3 28
90.90 93.37 95.83 98.29 100.75 103.22
Fai 0 12 14 17 25 28
Fri 0.11 0.32 0.07 0.11 0.29 0.11 1
Fra 0.00 0.43 0.50 0.61 0.89 1.00
P.inte 89.72 92.18 94.65 97.11 99.57 102.04
P*Fi 269.16 829.66 189.29 291.33 796.58 306.11
Rango= valor maximo-valor minimo Rango= 13.7
A=
R K
A =amplitud
int ervalo
K =cantidad
int ervalo
n =total
K =1 +3.322(log n )
datos
K= 5.8 A= 2.4 10.71%
10.71%
28.57%
32.14%
7.14% 10.71% Row 4
30 27.5 25 22.5 20 17.5
Row 5
Row 6
Row 7
Row 8
Row 9
11% 32% 7% 11% 29% 11%
30 27.5 25 22.5 20 17.5 15 12.5 10 7.5 5 2.5 0 Row 4
Row 5
Row 6
Row 7
Row 8
Row 9
9 8 7 6 5 4 3 2 1 0 Row 4
Row 5
Row 6
Row 7
Row 8
Row 9
9 8 7 6 5 4 3 2 1 0 Row 4
Row 5
Row 6
Row 7
Row 8
Row 9
88.54 89.58 90.67 91.48 91.76 91.87 92.02 91.90 91.97 91.98 92.42 92.87 93.85 95.27
98.47 98.94 99.13 98.94 99.28 99.56 100.00 100.59 101.43 101.94 102.26 96.04 96.72 97.62
Row 9
Row 9
Row 9
3) Xi 3.5 7.9 12.2 16.6 20.9 25.3 29.7
7.8 12.1 16.5 20.8 25.2 29.6 33.9
Fi 2 4 7 18 12 6
Fai 0 6 13 31 43 49 50
1 50
Fri 0.04 0.08 0.14 0.36 0.24 0.12 0.02 1
Fra 0.00 0.12 0.26 0.62 0.86 0.98 1.00
P.inte 5.63 9.99 14.35 18.71 23.07 27.43 31.79
Rango= valor maximo-valor minimo Rango= 28.3
A=
R K
A =amplitud
int ervalo
K =cantidad
int ervalo
n =total
K =1 +3.322(log n )
datos
K= 6.6 A= 4.3
La variable es cuantitativa continua, ya que estas estan expresadas en numeros
3.5 7.7 8.3 9.4 10.5 11.8 12.3 13.3 14.4 14.5
Datos 15.2 15.9 16.2 16.9 17.0 17.9 18.0 18.1 18.1 18.4
18.5 19.0 19.1 19.2 19.3 19.4 20.0 20.1 20.1 20.4
20.8 21.4 21.6 21.9 22.3 22.5 22.9 23.0 23.5 24.1
24.3 24.6 24.6 25.7 25.9 26.6 27.5 28.5 29.6 31.8
P*Fi 11.26 39.96 100.44 336.75 276.81 164.56 31.79
4% 8% 14% 36% 24% 12% 2%
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