calderon gutierrez diego, sebastian robayo ruiz
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7/21/2019 Calderon Gutierrez Diego, Sebastian Robayo Ruiz
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Tema C
Hacer el conteo e histograma de frecuencias, calcular Las medidas de te
Puede usar las funciones del E#CEL
Caso$ %ariable discreta
DATO Lista de %al Frecuencia
1 9 0 22 2 1 5
3 3 2 8
4 6 3 6
5 2 4 8
6 3 5 7
7 4 6 6
8 7 7 5
9 2 8 1
10 5 9 1
11 5 10 012 1 11 0
13 5 12 0
14 4 13 0
15 4 14 1
16 5 50
17 6
18 0
19 14
20 6
21 0
22 1
23 4
24 1
25 8
26 7
27 2
28 4
29 5
30 2
31 7
32 6
33 1
34 1
35 3
36 4
37 2
38 6
39 5
Frecu
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40 3
41 2
42 7
43 3
44 7
45 5
46 247 3
48 4
49 4
50 6
Suma &'()''
V. Maximo *+)''
V. Minimo ')''
Rano !o!a" *+)''
#rome$io +)*
#rome$io +)*'''Me$iana +)'''''
MODA &)'''''
De%&e%! &)-./.
Varian'a )/+.0.
(ur!o%i% 2.793326089
(oe)cien!e a%ime!ria 1.075434643
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dencia central, las de dispersión y las de forma y obtener la FDDP EMP
nter%alos o rangos de clase
L CC L1 Frecuencia "cumulada Frecuencia0 1 2 15 15
3 4 5 36 21
6 7 8 48 12
9 10 11 49 1
12 13 14 50 1
Suma 50
encia
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C"
f234 F234
5alor 3 p234 F234
0 ')'+' ')'+'1 ')*'' ')*+'
2 ')*' ')0''
3 ')*&' ')+&'
4 ')*' ')-('
5 ')*+' ')/&'
6 ')*&' ')(+'
7 ')*'' ').+'
8 ')'&' ').'
9 ')'&' ').('
10 ')''' ').('11 ')''' ').('
12 ')''' ').('
13 ')''' ').('
14 ')'&' *)'''
Suma 1.000
Frecuencia
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*o!e% $e 20 +ie
*o!e% $e +ie'a% f234 P(x) Defectuosa P234 6uenas
n 20 5alor 3 p234 p234
1,# 0.1 0 ')*&*-/-- ')'''''''''''
# 0.9 1 ')&/'*/'0++ ')'''''''''''
2 ')&(-*/.('/ ')'''''''''''
3 ')*.'**.(/* ')'''''''''''4 ')'(.//((&( ')'''''''''''
5 ')'0*.&*0* ')''''''''''*
6 ')''((/'+- ')'''''''''&*
7 ')''*./'+-+ ')''''''''0/*
8 ')'''0--// ')'''''''-+&0
9 ')''''-&/'( ')''''''-'/*
10 ')'''''++& ')'''''++&'+
11 ')''''''-* ')''''-&/'/0
12 ')'''''''-+ ')'''0--//+.
13 ')''''''''+ ')''*./'+-+0.14 ')''''''''' ')''((/'++/
15 ')''''''''' ')'0*.&*0**&
16 ')''''''''' ')'(.//((&(*-
17 ')''''''''' ')*.'**.(/*0(
18 ')''''''''' ')&(-*/.('/'
19 ')''''''''' ')&/'*/'0+0-0
20 ')''''''''' ')*&*-/-+-.
Suma 1.000 1.000
#rorama $e au!o,a+ren$i'a-e +ara %u+er&i%ore% +"an
istribución 78!M"L
&-')''
-')'
+roai"i$a$ $e /ue +ar!ici+an!e re/uiera 250
+' 01,+'0
+' 01,F0 0
+' 01,05
+' 0 0.5
+roai"i$a$ $e /ue +ar!ici+an!e re/uiera en!re 200 2
+,10 ' ,50
+' ,05,+' ,10 ,1
F,05,F,10 ,0.5
0.1498
Mediaµ
Des%est σ
+a x
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+roai"i$a$ $e /ue +ar!ici+an!e re/uiera en!re 300
+' 11,+'1
+' 11,F1 1
+' 11,08413
+' 1 0.1587
+roai"i$a$ $e /ue +ar!ici+an!e re/uiera en!re 200
+' ,11,+' ,1
+' ,11,F,1 ,1
+' ,11,01587
+' ,1 0.8413
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a%
Probabilidad de encontrar 4 piezas malas
p(x) 0.08977888
Probabilidad de encontrar 8 piezas malas
p(x) 0.000!""77#
robabilidad de $ue sean mas de # piezas mala
p(x) 0.00!8#089
robabilidad de $ue sean mas de 8 piezas buena
p(x) 0.0000000"4
!a +ro$uc!i&a
5
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Tema a
Hacer el conteo e histograma de frecuencias, calcular Las medidas de te
Puede usar las funciones del E#CEL
Caso %ariable cont9nua$ 2Debe de:nir 7;mero, ancho y limites de cada c
%DDP &'P*+
%alores 3 probabilidad ,rdenados
1 4.11 0.0125 0.142 0.89 0.0125 0.29
3 6.86 0.0125 0.30
4 2.50 0.0125 0.41
5 36.03 0.0125 0.70
6 26.35 0.0125 0.89
7 7.36 0.0125 0.95
8 1.25 0.0125 1.03
9 12.54 0.0125 1.08
10 10.16 0.0125 1.25
11 24.98 0.0125 1.33
12 11.75 0.0125 1.48
13 12.21 0.0125 1.60
14 17.62 0.0125 1.64
15 7.36 0.0125 1.65
16 5.45 0.0125 1.70
17 1.08 0.0125 2.01
18 0.14 0.0125 2.50
19 18.29 0.0125 2.52
20 1.03 0.0125 2.87
21 7.62 0.0125 2.99
22 1.70 0.0125 3.38
23 1.65 0.0125 4.11
24 0.70 0.0125 4.27
25 0.95 0.0125 4.88
26 2.87 0.0125 5.45
27 5.56 0.0125 5.49
28 3.38 0.0125 5.56
29 36.25 0.0125 6.31
30 14.70 0.0125 6.86
31 7.59 0.0125 7.16
32 1.48 0.0125 7.36
33 21.45 0.0125 7.45
34 6.31 0.0125 7.59
35 56.68 0.0125 7.62
36 12.97 0.0125 7.66
37 41.53 0.0125 8.40
38 2.99 0.0125 8.57
39 0.29 0.0125 9.26
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40 27.31 0.0125 9.32
41 8.57 0.0125 10.16
42 25.25 0.0125 10.99
43 11.45 0.0125 11.41
44 4.27 0.0125 11.45
45 8.40 0.0125 11.75
46 2.01 0.0125 12.2147 31.74 0.0125 12.54
48 9.26 0.0125 12.68
49 22.68 0.0125 12.97
50 10.99 0.0125 13.25
51 6.31 0.0125 13.72
52 0.41 0.0125 13.95
53 16.07 0.0125 14.10
54 34.65 0.0125 14.70
55 22.09 0.0125 15.05
56 4.88 0.0125 15.8957 1.60 0.0125 16.07
58 5.49 0.0125 16.76
59 33.87 0.0125 17.62
60 13.95 0.0125 18.29
61 7.45 0.0125 20.18
62 16.76 0.0125 21.45
63 26.66 0.0125 22.09
64 0.30 0.0125 22.48
65 2.52 0.0125 22.68
66 7.66 0.0125 24.98
67 61.82 0.0125 25.25
68 14.10 0.0125 26.35
69 12.68 0.0125 26.66
70 13.72 0.0125 27.31
71 20.18 0.0125 31.74
72 15.89 0.0125 33.87
73 1.64 0.0125 34.65
74 11.41 0.0125 36.03
75 22.48 0.0125 36.25
76 15.05 0.0125 41.53
77 1.33 0.0125 56.68
78 7.16 0.0125 61.82
79 9.32 0.0125
80 13.25 0.0-"
uma *'*/)& -
/. 'aximo *)(&
/. 'inimo ')*+
ano total *)( L
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Promedio *&)/*-/- ')*+
Promedio *&)/*-/- /)'+
'ediana ().*-'' *0).+
',D+ /)0''' &')(+
Des1est *&)-.'00 &/)/+
/arianza *-()-*+- 0+)+
(ur!o%i% 3.40659122 +*)-+(oe)cien!e a%ime!ri 1.68981657 +()++
*alculos --)0+
2umero clases nc 9 &)&+
+nc3o de clase ac #.90
-
8
-8
8
7
-4
%recuencia
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ndencia central, las de dispersión y las de forma y obtener la FDDP EMP!C"
ase o inter%aloo de clase4
pxi5 %(x) n6mero de 1eces
0.0-" 0.0125 -0.0-" 0.0250 -
0.0-" 0.0375 -
0.0-" 0.0500 -
0.0-" 0.0625 -
0.0-" 0.0750 -
0.0-" 0.0875 -
0.0-" 0.1000 -
0.0-" 0.1125 -
0.0-" 0.1250 -
0.0-" 0.1375
-0.0-" 0.1500 -
0.0-" 0.1625 -
0.0-" 0.1750 -
0.0-" 0.1875 -
0.0-" 0.2000 -
0.0-" 0.2125 -
0.0-" 0.2250 -
0.0-" 0.2375 -
0.0-" 0.2500 -
0.0-" 0.2625 -
0.0-" 0.2750 -
0.0-" 0.2875 -
0.0-" 0.3000 -
0.0-" 0.3125 -
0.0-" 0.3250 -
0.0-" 0.3375 -
0.0-" 0.3500 -
0.0"0 0.3750
0.0-" 0.3875 -
0.0-" 0.4000 -
0.0"0 0.4250 0.0-" 0.4375 -
0.0-" 0.4500 -
0.0-" 0.4625 -
0.0-" 0.4750 -
0.0-" 0.4875 -
0.0-" 0.5000 -
0.0-" 0.5125 -
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0.0-" 0.5250 -
0.0-" 0.5375 -
0.0-" 0.5500 -
0.0-" 0.5625 -
0.0-" 0.5750 -
0.0-" 0.5875 -
0.0-" 0.6000 -0.0-" 0.6125 -
0.0-" 0.6250 -
0.0-" 0.6375 -
0.0-" 0.6500 -
0.0-" 0.6625 -
0.0-" 0.6750 -
0.0-" 0.6875 -
0.0-" 0.7000 -
0.0-" 0.7125 -
0.0-" 0.7250 -0.0-" 0.7375 -
0.0-" 0.7500 -
0.0-" 0.7625 -
0.0-" 0.7750 -
0.0-" 0.7875 -
0.0-" 0.8000 -
0.0-" 0.8125 -
0.0-" 0.8250 -
0.0-" 0.8375 -
0.0-" 0.8500 -
0.0-" 0.8625 -
0.0-" 0.8750 -
0.0-" 0.8875 -
0.0-" 0.9000 -
0.0-" 0.9125 -
0.0-" 0.9250 -
0.0-" 0.9375 -
0.0-" 0.9500 -
0.0-" 0.9625 -
0.0-" 0.9750 -
0.0-" 0.9875 -
0.0-" 1.0000 -
1.00 80
L1 Frecuencia "cu Frecuencia
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/)'+ 0* 0*
*0).+ -0 &&
&')(+ 0 *'
&/)/+ /& .
0+)+ /+ &
+*)-+ /( +
+()++ /( '--)0+ /( '
&)&+ (' &
.)*+ (' '
Suma 80
-4
#
-
8
-8
%recu
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7
-4 -4
#
encia
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