UNIVERSIDAD DEL VALLE DE MEXICO LX PROBABILIDAD Y ESTADISTICA PARA CIENCIAS ECONOMOMICO ADMISNITRATIVAS PROF. J. ALBERTO NUNCIO ESQUIVEL TAREA TAREA #1 CONCEPTOS Y ESTADISTICAS ESTADISTICAS DESCRIPTIVAS DESCRIPTIVAS
NOMBRE: _________LENA APPEL________________________ APPEL_____________________________________ ____________________ _______ FECHA:_________________
1- Con!"$% Con!"$% "o &'!&(n( &'!&(n( )$%*+(% )$%*+(%o o ($,& ($,&o. o. # 1
Con Con() ()o o Media
D(/n D(/n& &&0 &0n n E "$ +(,&,$ ,( )o&&0n (n%$" +* !&"&$,$2 "$ +* ono&,$ 3 "$ +* (n&""$ ,( $"!"$%2 ,(4&,o )%&n&)$"+(n( $ 5!( ! (!$&on( ( )%($n )$%$ (" +$n(6o $"'(4%$&o2 "o !$" "$ 7$( ,( '%$n !&"&,$,. S! )%&n&)$" ,(8(n$6$ %$,&$ (n ! (n&4&"&,$, $" $+4&o ,( !no ,( ! 8$"o%( o $ "o 8$"o%( (9%(+o ,(+$&$,o '%$n,( o )(5!(o. La media se defne como la suma de todos los valores observados, dividido por el número total de observaciones. 7):;;<<<.)=%((.o+;!%o-,(-);$n$"&&-,(%&)&8o;+(,&$-+(,&$n$+o,$-+(,&,$-(n,(n&$-(n%$".7+"
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Mediana
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Desviación estándar
Má!i Má!imo mo
"l má má! !imo imo se ref refere ere al al val valor or má más s alto alto..
M#nimo
"l m#nimo, el más bajo.
$ang $ango o
"s el inte interv rval alo o ent entre re el valo valorr má! má!im imo o % el valo valorr m#n m#nim imo o )o% (""o2 o+)$%( !n&,$,( on "o ,$o. P(%+&( o4(n(% !n$ &,($ ,( "$ ,&)(%&0n ,( "o ,$o2 !$no +$3o% ( (" %$n'o2 +* ,&)(%o (*n "o ,$o ,( !n on6!no.
Moda
L$ +o,$ ( !n$ +(,&,$ ,( (n,(n&$ (n%$" ,&=(%(n( ,( "$ +(,&$2 )(%o !n
L$ +(,&$n$ ( !n$ +(,&,$ ,( (n,(n&$ (n%$" ,&=(%(n( $ !$"5!&(%$ ,( "$ 5!( 7(+o %$$,o 7$$ $7o%$. La mediana es un solo valor del conjunto de datos que mide la observación central del conjunto. E$ o"$ o4(%8$&0n ( (" ("(+(no 5!( (* +* $" (n%o ,(" on6!no ,( n?+(%o. L$ +&$, ,( "o ("(+(no (*n )o% $%%&4$ ,( (( )!no 3 "$ o%$ +&$, (* )o% ,(4$6o. Estadística para admón. Y economía. L$ 8$%&$n$ 3 "$ ,(8&$&0n (*n,$%. A+4$ +(,&,$ no ,$n !n$ distancia promedio de cualquier observación del conjunto de datos respecto a la media de la distribución. C$,$ )o4"$&0n &(n( !n$ 8$%&$n$. Estadística para admón. Y economía. La desviación estándar nos permite determinar, determinar, con un buen grado de precisión, dónde están localizados los valores de una distribución de recuencias con relación a la media. Estadística para admón. Y economía.
$no )$%(&,$ $ "$ +(,&$n$2 )!( (n %($"&,$, no ( $"!"$ +(,&$n( $"'?n )%o(o $%&+G&o o%,&n$%&o. La moda es el valor que más se repite en el conjunto de datos. Estadística para admón. Y economía.
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$esults or 1or2s3eet + Descriptive 4tatistics 5* Variable "1
N #$
N* $
Mean %,$#$
StDev 1,%&'
Variance #,#%%
Minimum #,$$$
Median (,)$
Maximum +,)$$
an!e %,)$$
Mode *
N for Mode $
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$esults or 1or2s3eet ' Descriptive 4tatistics velocidad Variable velocidad
N %
N* $
Mean %),1
StDev 1(,1+
Variance 1)(,($
Minimum 1,$$
Median %',$$
Maximum +&,$$
an!e %,$$
Mode %'
C$"!"(: M(,&$ M(,&$n$
21 2
R$n'o M*9&+o
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$esults or 1or2s3eet 6 Descriptive 4tatistics vidas Variable vidas
N 1+
N* $
Mean 1,$(1&
StDev $,1+()
Variance $,$#+'
Minimum $,)(+$
Median 1,$$&$
Maximum 1,(&%$
an!e $,+'$
C$"!"(: M(,&$ M(,&$n$
12@1 12
R$n'o M*9&+o
2 12@
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$esults or 1or2s3eet / Descriptive 4tatistics tiempo promedio Variable tiempo promedio
N #$
N* $
Variable tiempo promedio
N for Mode #
Mean #(,#&
StDev #,$#$
Variance %,$)&
Minimum #$,$$$
Median #(,%$$
Maximum #',#$$
an!e ',#$$
Mode #%,(
Un &(+)o )%o+(,&o )o% )"$$ +(no% $ "o >@ ('!n,o &n,&$ !n$ )%o,!&8&,$, $&=$o%&$. D(4( ($% )%(o!)$,o (" '(%(n( ,( )%o,!&0nK C$"!"(: M(,&$ M(,&$n$
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Descriptive 4tatistics 2ilometraje semanal Variable ilometra-e semanal
N #$
N* $
Variable ilometra-e semanal
N for Mode $
Mean )$&,1
StDev #+%,$
Variance +&)1(,1
Minimum #1$,$
Median )##,
Maximum 1%$,$
C$"!"(: M(,&$ M(,&$n$
21 >>2
R$n'o M*9&+o
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$esults or 1or2s3eet 0 Descriptive 4tatistics ;< 9< 5 Variable / "
N & & &
N* $ $ $
Mean #(,+ #%,+ #1,+
StDev 1#,)% +,+# &,
%$Variance 1+#,#' %(,)' '1,)'
Minimum 1%,$$ 1),$$ 1,$$
Median 1),$$ #(,$$ 1',$$
Maximum (,$$ (&,$$ %#,$$
an!e (&,$$ ##,$$ #),$$
Mode 1+ * 1+
N for Mode # $ #
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$esults or 1or2s3eet : Descriptive 4tatistics prueba Variable prueba
N %$
N* $
Mean +,)+
StDev 1,#1
Variance 1,+%
Minimum %,$$$
Median +,$$
Maximum &,#$$
an!e ,#$$
Mode +0 '
N for Mode %
$ D((%+&n( "$ +(,&$2 8$%&$n$2 ,(8&$&0n (*n,$%2 %$n'o2 +*9&+o2 +n&+o2 +(,&$n$ 3 o(/&(n( ,( 8$%&$&0n.
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prueba
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DISCRETA
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NOMINAL
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CONTINUA
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ORDINAL
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NOMINAL
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$esults or 1or2s3eet Descriptive 4tatistics =>?D;D"4 Variable N2DD3S
N ($
N* $
Mean 1,$
StDev 1%,1)
Variance #$$,)%
Minimum #,$$
Median 1,$
Maximum )',$$
an!e (,$$
Mode %%0 %'0 '
C%(( !n 7&o'%$+$ ,( ,$o 3 C$"!"(: M(,&$ M(,&$n$
12 12
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N for Mode #
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Descriptive 4tatistics tiempo de duración Variable tiempo de duraci4n
N #$
N* $
Variable tiempo de duraci4n
N for Mode #
Mean ',$$
StDev %,'
Variance #(,$
Minimum %','$
Median ','$
Maximum +,)$
C%(( !n$ '%*/$ ,( $6$ 3 $"!"(: M(,&$ M(,&$n$
2 2
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1>- Lo &'!&(n( ,$o on "$ %((n&on( )o%(n!$"( ,( $!=%( ,( > *%($ ,( 8(%&(n( ,(" no%(( ,( USA2 ("$4o%( !n 7&o'%$+$ 3 (n!(n%( "o 5!( ( )&,(. 1.@ . . 1. @. > . @1.
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Descriptive 4tatistics retenciones porcentuales Variable retenciones porcentuales
N %$
N* $
Variable retenciones porcentuales
Mode ((,#
Mean %$,#+
StDev 1#,%'
Variance 1,'#
Minimum 1),'$
Median %1,&
Maximum ++,#$
N for Mode #
C%(( !n$ '%*/$ ,( $6$ 3 $"!"(: M(,&$ M(,&$n$
2> 12
R$n'o M*9&+o
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an!e %',%$
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No$: )$%$ $,$ )%o4"(+$ 5!( $"!"( ($,&$ ,(%&)&8$2 $'%('$ !n$ '%*/$.