estadistica y probabilidad 2016
TRANSCRIPT
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ENCUESTA Y DATOS APLICADO POR LA ENCUESTA.
n edad genero es_civ gr_ins n_hijos trabaja ingreso opcion1 47 1 1 1 2 1 2128.0 1
2 34 1 3 1 2 1 1522.9 1
3 30 0 1 1 1 1 1795.0 2
4 48 0 1 1 3 1 1293.6 1
5 59 0 2 1 3 1 1276.9 1
6 30 0 1 1 3 1 1213.5 2
7 41 1 1 2 0 1 1589.3 2
8 44 1 1 3 2 1 1699.2 2
9 43 0 2 1 2 1 2018.2 1
10
45 1 2 1 2 1
1048.1 211 32 1 1 0 1 1 1183.2 1
12 49 1 1 1 2 1 1073.3 2
13 39 1 1 1 2 1 1232.7 2
14 44 1 3 1 1 1 1160.4 2
15 43 1 3 3 3 1 1718.0 2
16 36 1 2 0 1 1 1575.2 1
17 38 1 1 1 2 1 1456.0 3
18 61 1 1 1 2 1 1454.4 1
19 42 0 2 2 1 1 1702.2 1
20 37 1 3 0 1 1 1492.4 1
21 52 1 1 3 1 1 1336.2 2
22 33 1 1 1 2 1 1807.9 4
23 44 0 1 1 1 1 1320.4 1
24 43 1 3 0 2 1 970.3 2
25 23 1 2 1 2 1 1994.1 1
26 37 1 1 3 4 1 1081.4 2
27 51 0 1 1 2 1 1365.3 3
28 25 0 3 1 1 1 1907.2 2
29 28 0 1 1 0 1 1350.0 2
30 29 1 1 0 2 1 2053.1 2
31 50 0 1 1 2 1 1247.5 2
32 41 1 2 1 4 1 1351.0 2
33 38 0 2 1 2 1 1645.7 2
34 40 0 1 1 2 1 1225.3 3
35 52 0 1 1 2 1 877.6 2
36 42 1 2 1 2 1 1610.4 1
37 54 1 1 3 1 1 1832.4 1
38 34 0 1 1 2 1 1249.4 2
a) DATOS APLICADOS A 63 ENCUESTADOS.
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39 30 1 1 3 3 1 1056.5 3
40 50 0 1 1 2 1 1817.1 1
41 32 1 3 1 2 1 1398.9 2
42 39 1 1 1 2 1 1024.2 1
43 52 1 1 1 2 1 1835.2 2
44 36 1 3 2 1 1 1880.5 1
45 42 1 2 1 1 1 1828.8 146 39 0 1 1 3 1 1517.0 1
47 49 1 1 1 2 1 504.6 4
48 41 0 1 1 1 1 1207.3 1
49 42 1 1 0 2 1 1648.7 2
50 35 1 2 0 2 1 1432.6 3
51 33 1 1 1 3 1 1461.7 2
52 34 0 1 1 3 1 934.3 2
53 43 1 1 1 2 1 1220.0 2
54 38 1 1 1 2 1 1525.9 1
55 53 0 1 2 2 1 2064.5 256 47 0 1 1 1 1 1567.5 2
57 41 0 1 1 3 1 1001.4 3
58 35 0 2 1 1 1 1098.8 2
59 40 1 1 1 4 1 1339.8 1
60 43 1 1 0 3 1 1489.4 2
61 46 0 3 2 1 1 1628.5 1
62 37 0 2 2 2 1 1640.8 2
63 46 1 1 0 5 1 1762.4 1
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b) ENCUESTA :
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PRESENTACION DE DATOS CUALITATIVOS.opcion
a) EN FORMA MATRICIAL X1
1
2
OPINION F.ABSOLUTA F.RELATIVA 1
1 A 24 38.10% 1
2 B 31 49.21% 2
3 BLANCO 6 9.52% 2
4 VICIADO 2 3.17% 2
63 100.00% 1
FUENTE: Encues!a !e"#$a%a &6'&( %e ab!#" &6 2
1
b) EN FORMA RAFICA 22
2
2
1
3
1
1
1
2
4
1
2
1
2
32
2
2
2
2
2
*#
ENCUESTA SO+RE ELECCIONES PARAPRESIDENTE EN A+RIL &6 A NIVEL
NACIONALCUADRO N, &
*&
*-
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*/
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*(
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*&2
*&&*
&-
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*&6
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-2
*-&
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*-
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*-(*
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*3&
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A; 38%
B; 49%
BLANCO; 10%
VICIADO; 3%
PREFERENCIA ELECTORAL DE LAS SE)UNDA VUELTA EN A+RIL DEL -2&6
A B BLANCO VICIADOFUENTE: Cua%! N4 &
50%
60%
A; 38.10%
B; 49.21%
PREFERENCIA ELECTORAL DE LAS SE)UNDA VUELTA EN A+RIL DEL -2&6
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3
2
1
1
2
3
1
2
1
2
1
1
1
4
1
2
3
2
2
2
1
2
2
3
2
1
2
1
2
1
*3
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2
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A B BLANCO VICIADO
0%
10%
20%
30%
.
.
BLANCO; 9.52%
VICIADO; 3.17%
ppp
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PRESENTACION DE DATOS NUMER
a) EN FORMA MATRICIAL
X
0 2 3.17% 2 3.17% 63
1 16 25.40% 18 28.57% 61
2 31 49.21% 49 77.78% 45
3 10 15.87% 59 93.65% 14
4 3 4.76% 62 98.41% 4
5 1 1.59% 63 100.00% 1
63 100.00%
3& D !"# $'()"# 31 '*$$ 2 +*,"#.
-/.25 E$ ! P-& ! 25.40% ) *&)()($"# '*$$ &$ +*,".
/1
13.6/5
/
16.035
b) EN FORMA RAFIA
X: N&-" ) +*,"# ) !"# $'()"#. /1 /22 /1 /63R
* 0 1 2 3 4 5
DISTRI+UCION DE FRECUENCIA DEL NUMERO DE I7OS DE LA ENCUPREFERENCIA ELECTORAL EN EL PAIS
8#
9#
F#
#
F#
83;
9-;
F;
;
F3;
-;
&25
-25
325
25
/25
625
F!ecuenc#a !e"a#c %e +asnes
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2 & - 3 /25
X
0 1 2 3 4 50.00%
20.00%
40.00%
60.00%
80.00%
100.00%
120.00%
C+(-' T*'!
0 1 2 3 4 50.00%
20.00%
40.00%
60.00%
80.00%
100.00%
120.00%
C+(-' T*'!
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COS DISCRETOSn_hijos
X
2
2
1
3
3
3
0
100.00% 2
96.83% 2
71.43% 2
22.22% 1
6.35% 2
1.59% 2
1
3
1
2
2
1
1
1
2
1
2
2
4
2
1
0
2
2
4
2
2
2
*#
*&
*-*
3
*
STA SO+RE*
/
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#
*(
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*&2*
&&
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*-
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-(
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*32
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3/
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2
1
2
3
2
2
2
2
1
1
3
2
1
2
2
3
3
2
2
2
1
3
1
4
3
1
2
5
*36
*3(
*30
*31
*2
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*
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PRESENTACION DE DATOS NUMERICOS CONTINU
&.? CONSTRUCCION DE CLASES EN VARIA+LE CONTINUA
&.? E7EMPLO:
n 1/ INTERVAL
X@
CL
&-/.3- ' &-6.1(B
& &-/.3&
a) I%en#>ca! e" ca! e"
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R ; &6-3./
@ ; (.22 6.1((&
c ; -3&.12 -3&.1-0/(
@CLASE ARCA DE C.
X
& /2.62 (36.2 6-2./2 & &./15 &
- (36./2 160.32 0/-.2 - 3.&(5 3
3 160.2 &-22.-2 &20.32 &2 &/.0(5 &3
&-22.32 &3-.&2 &3&6.-2 &6 -/.25 -1
/ &3-.-2 &66.22 &/0.&2 &( -6.105 6
6 &66.&2 &01/.12 &(02.22 && &(.65 /(
( &016.22 -&-(.02 -2&&.12 / (.15 6-
0 -&-(.12 -3/1.(2 --3.02 & &./15 63
63 &22.225
F!ecuenc#a abs"ua.
F!ecuenc#a !e"a#
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3 160.2 &-22.-2 &20.32 &2 &/.0(5 &3 &-22.32 &3-.&2 &3&6.-2 &6 -/.25 -1/ &3-.-2 &66.22 &/0.&2 &( -6.105 66 &66.&2 &01/.12 &(02.22 && &(.65 /(( &016.22 -&-(.02 -2&&.12 / (.15 6-0 -&-(.12 -3/1.(2 --3.02 & &./15 63
1 -3/1.02 -/1&.62 -(/.(2 2 2.225 6363 &22.225
+) PRESENTACION DE D.CONTINUOS EN FORMA RAFICA
300.62 6-2./2 0/-.25
/5
&25
&/5
-25
-/5
325
POLI
25
/5
&25
&/5-25
-/5
325
ISTORAMA
25
/5
&25
&/5
-25
-/5
325
ISTO)RAMA
&225
ISTO)RAMA CRECIENTE R
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&.? E7EMPLO:
n 6 INTERVAL
X@
CL
&-2.3- ' &-&.10B1 120.31
( V @a* ; &-&.1( 2 120.55V @#@ ; &-2.3& 3 120.79
R ; 1.67 4 121.03 @ ; 7 5 121.27) c ; 0.24 6 121.51
7 121.75
D#s!#buc#n %e 8!ecuenc#a %e "s sa"a!#as %e "s encuesa%s:
X: S(!(-*"# ) !"# $'()"#
Se #ene una @ues!a %e 6 e"e@ens c!!esn%#ene a "s ess %e can#ces @#n#@ &-2.3& e" es @a*#@ &-&.1(
Pes %e can#cas en !a@s.
R* LI #
25
&25
-25
325
.25
/25
625
(25
025
125
25
&25
-25
325
25
/25
625
(25
025
125
&225
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/2.6 ' -&-0.2 B
( V @a* ; -&-0.22
V @#@ ; /2.62
R ; 1623.50
@ ; 7
) c ; 231.9
INTERVALO CERRADO
@CLASE
/
1 504.60 736.40 620.50 1 0.01587302 1
2 736.50 968.30 852.40 2 0.03174603 3
3 968.40 1200.20 1084.30 10 0.15873016 13
4 1200.30 1432.10 1316.20 16 0.25396825 29
5 1432.20 1664.00 1548.10 17 0.26984127 46
6 1664.10 1895.90 1780.00 11 0.17460317 57
7 1896.00 2127.80 2011.90 5 0.07936508 62
8 2127.90 2359.70 2243.80 1 0.01587302 63
63 1
R*
8#
9#
F#
LI#
LS#
620.50 852.40 1084.30 1316.20 1548.10 1780.00 2011.90 2243.800
0.05
0.1
0.15
0.2
0.25
0.3
----
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&.? E7EMPLO:
n &2/
X INTERVALO CERRADO
&-&.-2 ' &-3.16B@
CLASE
a) V @a* ; &-3.1/ 1 121.21 121.54
V @#@ ; &-&.-& 2 121.55 121.88
b) R ; -.(/22 3 121.89 122.22
c) @ ; 0.22222 4 122.23 122.56
%) c ; 2.322 5 122.57 122.90
c ; 2.3/ 6 122.91 123.24
7 123.25 123.58
8 123.59 123.92
9 123.93 124.26
PRESENTACION DE DATOS NUMERICOS CONTINUOS.
n 63
X In!ess %e "s encuesa%s.
/2./ ' -&-0.&B
( V @a* ; -&-0.2V @#@ ; /2.6
R ; 1623.50 @ ; 7.00000
) c ; 231.9000c ; 232.0000
@CLASE
/
1 504.6 736.40 620.5 1 0.01587302 1
2 736.50 968.30 852.4 2 0.03174603 3
3 968.40 1200.20 1084.3 10 0.15873016 13
4 1200.30 1432.10 1316.2 16 0.25396825 29
Se #ene una @ues!a %e &2/ e"e@ens c!!esn%#ene a "s ess %e can#ces @#n#@ &-&.-& e" es @a*#@ &-3.1/. Cn esa #n8!@ac#n
#ne!
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5 1432.20 1664.00 1548.1 17 0.26984127 46
6 1664.10 1895.90 1780.0 11 0.17460317 57
7 1896.00 2127.80 2011.9 5 0.07936508 62
8 2127.90 2359.70 2243.8 1 0.01587302 63
63 1
@CLASE
/
1 504.6 736.5 620.550 1
2 736.6 968.5 852.550 2
3 968.6 1200.5 1084.550 10
4 1200.6 1432.5 1316.550 16
5 1432.6 1664.5 1548.550 17
6 1664.6 1896.5 1780.550 11
7 1896.6 2128.5 2012.550 6
63
Ee@"u !cenae %e c#u%a%ans #enen #n!es @W*#@ %e &22 s"es
@CLASE
/
1 504.6 736.40 620.5 1 0.01587302
2 736.50 968.30 852.4 2 0.03174603
3 968.40 1200.20 1084.3 10 0.15873016
4 1200.30 1432.10 1316.2 16 0.25396825
5 1432.20 1664.00 1548.1 17 0.26984127
6 1664.10 1895.90 1780.0 11 0.17460317
7 1896.00 2127.80 2011.9 5 0.07936508
8 2127.90 2359.70 2243.8 1 0.01587302
63 1
& u !cenae %e c#u%a%ans #enen #n!es @W*#@ %e &22 s"es
- u PORCENTA7E DE LOS CIUDADANOS TIENEN COMO ENTRE &016 Y -&-('02
3 u !cenae %e c#u%a%ans #ene c@ #n!es @#n#@ %e &-22 s"es
#
+#
F#LI
#LS
#
#
+#LI
#LS
#
Resuesa: E" -'/&5 %e c#u%a%ans #enen #n!ess @a*#@s %e &322 s"es
Resuesa: E" ('15
Resuesa: E" 13'2( 5 DE CIUDADANO TIENEN INRESOS MINIMOS DE &222 SO
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Singreso
X
2128.0
1522.9
1795.0
1293.6
CERRADO 1276.9
SE ARCA DE C. 1213.5
X 1589.3
&-/./& &-/.& 1699.2
&-/.(- &-/.6- 2018.2
&-/.13 &-/.03 1048.1
&-6.& &-6.2 1183.2
&-6.3/ &-6.-/ 1073.3
&-6./6 &-6.6 1232.7
&-6.(( &-6.6( 1160.4
&-6.10 &-6.00 1718.0
1575.2
TO POR LA D. 1456.0
SE 1454.4
1702.2
&-/./- 1492.4
&-/.(3 1336.2
&-/.1 1807.9
&-6.&/ 1320.4
&-6.36 970.3
&-6./( 1994.1
&-6.(0 1081.4
&-6.11 1365.3
1907.2
1350.0
2053.1
1247.5
1351.0
1645.7
*#
*&
*-
s s#en% e"*
3
*
*/
*6
LS#
*(
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&-
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1225.3
877.6
1610.4
1832.4
1249.4
1056.5
1817.1
1398.9
1024.2
1835.2
1880.5
1828.8
1517.0
504.6
1207.3
&./15 63 &22.225 1648.7
.(65 6- 10.&5 1432.6
-2.635 62 1/.-5 1461.7
6.235 /2 (1.3(5 934.3
(3.2-5 3 /3.1(5 1220.0
12.05 &( -6.105 1525.9
10.&5 6 1./-5 2064.5
&22.225 & &./15 1567.5
1001.4
1098.8
1339.8
1489.4
1628.5
1640.8
1762.4
2.225 63 &22.225&./15 63 &22.225.(65 6- 10.&5
*3
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2
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-2.635 62 1/.-56.235 /2 (1.3(5(3.2-5 3 /3.1(512.05 &( -6.10510.&5 6 1./-5
&22.225 & &./15
&22.225 2 2.225
&20.32 &3&6.-2 &/0.&2 &(02.22 -2&&.12 --3.02 -(/.(2
ONO DE FRECUENCIA
FICOS O7IVAS
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CERRADO
SE/
120.54 120.425
120.78 120.665
121.02 120.905
121.26 121.145121.50 121.385
121.74 121.625
121.98 121.865
/ ingreso
2128.0
1522.9
1795.0
s s#en% e"
LS#
*&
*-
*3
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1293.6
1276.9
1213.5
1589.3
1699.2
2018.2
1048.1
1183.2
1073.3
1232.7
0.01587302 63 1.00000000 1160.4
0.04761905 62 0.98412698 1718.0
0.20634921 60 0.95238095 1575.2
0.46031746 50 0.79365079 1456.0
0.73015873 34 0.53968254 1454.4
0.90476190 17 0.26984127 1702.2
0.98412698 6 0.09523810 1492.4
1.00000000 1 0.01587302 1336.2
1807.9
1320.4
970.3
1994.1
1081.4
1365.3
1907.2
1350.0
2053.1
1247.5
1351.0
1645.7
1225.3
877.6
1610.4
1832.4
1249.4
1056.5
*
*/
*6
*(
*0
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&2
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#
F#
#
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1817.1
1398.9
1024.2
1835.2
1880.5
1828.8
1517.0
504.6
@CLASE 1207.3
1648.7
1 121.21 121.55 1432.6
2 121.56 121.90 1461.7
3 121.91 122.25 934.3
4 122.26 122.60 1220.0
5 122.61 122.95 1525.9
6 122.96 123.30 2064.5
7 123.31 123.65 1567.5
8 123.66 124.00 1001.4
1098.8
1339.8
1489.4
1628.5
1640.8
1762.4
0.0158730 63 1.0000000
0.0476190 62 0.9841270
0.2063492 60 0.9523810
0.4603175 50 0.7936508
*2
*&
*-
s s#en% e"ea!a! "s
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*
*/*
6
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LS#
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#
F#
#
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0.7301587 34 0.5396825
0.9047619 17 0.2698413
0.9841270 6 0.0952381
1.0000000 1 0.0158730
PREUNTA 1
0.25396825
231.80 199.70
0.20634921
0.21879836
0.20634921
0.42514757
0.07936508
231.80 696.00
0.23830067
#
F#
#
25
/5
&25
&/5
-25
-/5
325
ISTO)R
-/5
325
POLIONO DE FRE
-'/& 5
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PREUNTA 3
0.15873016
231.80 200.20
0.79365079
0.13709136
0.93074216
300.62 6-2./2 0/-.2 &20.32 &3&6.-2 &/0.&225
/5
&25
&/5
-25
13'2(5
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ingreso ingreso ingreso ingreso ingreso ingreso
X X X X X X
-&-0.2 &&03.- &336.- &-(./ &310.1 &6&.(
&/--.1 &2(3.3 &02(.1 &3/&.2 &2-.- 13.3
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MA
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&(02.22 -2&&.12 --3.02 -(/.(2
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MEDIDAS DE TENDENCIA CENTRAL
A.? DATOS NO ARUPADOSE e@ :
XX -&-0.2 &/--.1 &(1/.2 &-13.6 &-(6.1 &-&3./
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@CLASE
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& /2.6 (36.2 6-2./ & 6-2./
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CUARTIL DE DATOS NO ARUPADOS
C(!&!(- !"# &(-'*!# ) !"# *$-#"# ) !"# *&)()($"# $'()"#
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1284.58
1395.54
1733.982015.79
CUARTIL DE DATOS ARUPADOS
@CLASE
X 8 # 9 # F #LI # LS #
1 504.6 736.40 620.5 1 0.01587302 1
2 736.50 968.30 852.4 2 0.03174603 3
3 968.40 1200.20 1084.3 10 0.15873016 13
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4 1200.30 1432.10 1316.2 16 0.25396825 29
5 1432.20 1664.00 1548.1 17 0.26984127 46
6 1664.10 1895.90 1780.0 11 0.17460317 57
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8 2127.90 2359.70 2243.8 1 0.01587302 63
63 &
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# F # #
0.0158730 63 1.0000000
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MEDIDAS DE DISPERSION
&.? DATOS NO ARUPADOS.
A.? VARIANA
Ee@". &
X -&-0.2 &/--.1 &(1/.2 &-13.6 &-(6.1
317194.24 1755.61 52992.04 73549.44 82886.41
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DATOS ARUPADOS.
A.? VARIANA
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340 0.00
2.22
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