ESTADÍSTICA DESCRIPTIVA Y PROBABILIDADES SEMESTRE I - 2017
EJERCICIOS EN AULA 5 EJERCICIOS DE NÚMEROS ÍNDICE T9to T9to R="n R="n*%!: *%!: >Est!4st%*! >Est!4st%*! A&%*!! ! &os N8o*%os N8o*%os ' &! E*ono4!>+ E*ono4!>+ ?$st" ?$st" A&&n@ A&&n@ C!4t(&o 1/+ ?EA 10
Los *ostos &os %n8"%nts (t%&%#!os o" o$son In(st"%s !"! =!$"%*!" (&*s s "snt!n !(4 !"! &os ss s&**%on!os+ Ds!""o&& ' 9&%( (n 4n%* "*%os s%& !"! *!! %n8"%nt@ (t%&%#!no & s !'o *oo "4oo $!s+ Montos n USD A#)*!" B!s o! A*%t !4#
M!"#o 5+12 1+15 0+7
A$"%& 5+, 1+2 1+03
M!'o .+12 2+0/ 1+0
J(n%o .+0/ 1+. 1+15
J(&%o .+2 1+,3 1+25
RESOLUCIN DEL EJERCICIO 10 L! t"%n!*%6n (n 4n%* "*%o s%& (t%&%#! &! s%8(%nt 9"s%6n:
A#)*!" B!s o! A*%t !4#
11
I!"#o ,/+7 5.+7 ,+0
I!$"%& I!'o I;(n%o I;(&%o .+2 100+0 ,+5 102+, 5+1 100+0 .+. 0+. 5+3 100+0 105+5 113+7
Los !tos so$" *ons(%o" s(%n%st"!os o" & M%n%st"%o Co"*%o Est!os Un%os !"! & "!no 1, "&!"on &o s%8(%nt: P"*%os Un%!
1.
17
1,
C!"n "s
1 &%$"!
L*<
1 !&6n
/+12 2+10
/+, 2+32
/+2 2+51
Po&&o
1 &%$"!
P!n
1 o&
1+5 0+
2+10 0+,
2+12 1+12
C!&*(& %nt""t & 4n%* s%& !"! *!! "o(*to (t%&%#!no 1. *oo "%oo $!s+ RESOLUCIN DEL EJERCICIO 11 L! t"%n!*%6n (n 4n%* "*%o s%& (t%&%#! &! 9"s%6n (t%&%#!! n & E;"*%*%o 1+
C!"n "s L*< Po&&o P!n
I1. I17 I1, 100+0 123+7 125+. 100+0 115+2 11+5 100+0 107+7 10,+7 100+0 ,+ 11/+1
S o$s"! *on 9**%6n & !Fo 17 !"! & !n@ n toos &os Gs "%oos !"! &os &ntos o "o(*tos sF!&!os@ (n !"%!*%6n %n*"nt!& os%t%!@ "s*to &os "*%os &os !"t4*(&os & !Fo 1.+ 12
B&& E&*t"on%* s! !n!&%#!" &os *!$%os n &os "*%os !"! t"s s(s "o(*tos ("!nt &os )&t%os t"s !Fos+ A(4 s "oo"*%on!n &os !tos P"*%os P"o(*to
A B C
1. 10+0 /+0 .+0
17 15+5 5+0 75+0
C!nt%!s 1, 20+0 7+5 75+0
1. 150 55 100
17 170 ., 0
1, 1.0 120 ,5
C!&*(& %nt""t &os 4n%*s L!s'"s ' P!!s*< (t%&%#!no 1. *oo "4oo $!s+ Us!no &os !tos & ;"*%*%o !nt"%o" *!&*(& & 4n%* H%s<"+ RESOLUCIN DEL EJERCICIO 12 L! t"%n!*%6n &os 4n%*s sF!&!os n & "("%%nto@ %&%*! &! !&%*!*%6n &!s s%8(%nts 9"s%ons:
INDICE DE LASPEYRES P"o(*to
P96*Q96
A B C
1500 1.5 .00 ,5.5
SUMATORIA
P97*Q96
P98*Q96
2/25 275 7500 10100
/200 00 ./75 10375
11,
IPL
122
INDICE DE PAASCE P"o(*to P97*Q97
2./5 /30 .750
A B C
725
SUMATORIA
P96*Q97
P98*Q98
/200 00 ./75
1.00 /.0 5,.5
,113
10375
7,25
120
IPP
P96*Q98
1700 203 .210
1/3
INDICE DE HISER P"o(*to
IPL97
IPP97
IPL98
IPP98
11,
120 11
122
1/3 12,
IPF
1/
P! M*(%"@ D%"*to" O"!*%ons Co&($%! R*o"s@ *o%&6 &os s%8(%nts !tos so$" &os *ostos 8"!$!*%6n ' & n)"o *s ( (t%&%#6 *!! !"t4*(&o ("!nt &os )&t%os t"s !Fos !"! t"s !"t4*(&os ( s (t%&%#! *o)nnt n & n8o*%o 8"!$!*%6n+
1. Costo st(%o E(%o 8"!$!*%6n
A*o!F!%nto
Costo o" (so 17
120 320 /00
135 5/0 250
1,
1.5 .20 250
H"*(n*%! (so 1. 17 1,
/0 30 50
/5 3/ ./
/7 3. 72
S! ODonn&&@ D%"*to" P"o*%%ntos Est!4st%*os@ $ *!&*(&!" (n 4n%* L!s'"s ' (n 4n%* P!!s*<@ (t%&%#!no 1. *oo $!s@ ' &(8o $ t"%n!" &! t!s! n &! *(!& s
P96*Q96
/.00 E(%o 8"!$!*%6n 1.,00 15000 A*o!F!%nto SUMATORIA /5300 Costo st(%o
IPL
100
P97*Q96
P98*Q96
3/50 21200 12500 /,050
350 23,00 12500 32250
107
11