Trabajo de Estadistica

 

^ZDJD@M NK KY^DNCY^CID

 

Imestr truy uyd du ue e ldpd ldpd lke lketd tdgg nme nmenk nk nkae nkaed d y rks rksul uld d ggds ds lkn lkncn cnds ds nk tk tken enke keic icd di 4. Imes lkncnds nk pmscicùe.

 

  ketrdg, gds lkncnds nk ncspkrscùe y gds

 

:. Gd Iczkes Jdeocef Imlpdey kstuncd gd idendn nk vkiks quk sk ugczd dg nìd ujcidn ujc idnm m ke uem nk gms gms supk supkrlk rlkrid ridnms nms nk Gmjg Gmjgdws dws,, sm smjrk jrk Ldrokt Ldrokt Ytrkkt Ytrkkt.. Ke skf idendnks nk midscmeks quk sk ugczù gd läquced dg nìd nurdetk gms pdsdnms ;

11 14 1: ;1 13

19 ;4 ;> ;2 1:

14 >8 6; ;; ;;

6: 16 ;4 ;2 12

;8 ;2 ;: >8 1>

Arkiukeicd djsmgutd ( ] )

Arkiukeicd djsmgutd diulugdnd ( ])

Arkiukeicd rkgdtcvd ( ] )

D. Imestruyd ued tdjgd nk rkiukeicds

E² nk vkiks utcgczdnm kg id`krm pmr nìd

>> >8 >3 ;2 ;4 ;: ;9 ;> ;; ;1 ;6 ;8 ;3 12 14 1: 19 1> 11

4 : 4 > ; 9 4 4 9 4 : : 4 9 9 : > 4 :

4 9 > 8 49 41

46 48 :4 :: :> :1 :6 92 99 9; 93 >2 >:

2.2: 2.2> 2.2: 2.28 2.4 2.21 2.2: 2.2: 2.21 2.2: 2.2> 2.2> 2.2: 2.21 2.21 2.2> 2.28 2.2: 2.2>

16 13

4 4

>9 >>

2.2: 2.2:

64 6: 69 6; 68 ^M^DG

: 4 4 4 4 ;2

>1 >6 >8 >3 ;2

2.2> 2.2: 2.2: 2.2: 2.2: 4

J. Nktkrlcek gd lkncd, lkncded y lmnd.

 

Lkncd

;8.;1

Lkncded

;8

Lmnd

;4

c) Irkk ued fräaid fräaid nk jdrrds jdrrds y rksdgtk rksdgtk nk dgfued dgfued ldekrd ldekrd gd jdrrd jdrrd q

NCDFZDLD 42 3 8 6 1 ;

;

>

>

9

9 :

9

:

:

4

4

4

4

;9

;>

:

4

4

4 2

>>

>8

>3

;2

;4

;:

;;

;1

;6

;8

;3

1

cc) ½Tuã scfecaid gd lmnd pdrd kg idsm nk kstuncm= Gd lmnd scfecaid scfecaid quk nk gms ;2 nìds ugczdnm ugczdnm kg id`krm dutmlä dutmlä nìds ke kg iudg sk ugczm gd lcsld idendn, ks nkicr, ;4 vkiks dg

I. Nktkrlcek, vdrcdezd, nksvcdicùe kstäendr y nksvcdicùe lkncd

Qdrcdezd

19.88

Nksvcdicùe kstäendr

6.33

Nksvcdicùe lkncd

1.;8

c) ½Iùlm puknk cetkrprktdr gd nkvcdicùe kstäendr pdrd kg idsm nk k Gd nksv nksvcd cdic icùe ùe nkg nkg usm usm quk quk ke kek k dg nì nìd d gms gms id`k id`krm rmss dut dutml mlä äim imss ujc ujc rkspkitm d su lkncd ks nk 6,33 dg nìd ke prmlkncm.

N. Nktkrlcek gms iudrgks. Iudrtcg (4) :;%

;4

Iudrtcg (:) ;2%

;8

Iudrtcg (9) 6;%

19

Iudrtcg (>) 422%

68

 

c) ½Iùlm puknk cetkrprktdr kg iudrg 4 pdrd kg idsm nk kstuncm= Kg :;% nk gms ;2 nìds ugczdenm kg id`krm, sk ugczd lkems nk ;4

 

 

   

g id`krm dutmläim ucnd afurde gds nìds. ;: 11 69 ;6 ;3

12 14 ;6 12 ;;

19 ;4 19 64 >3

Arkiukeicd Arkiukeicd Arkiukeicd rkgdtcvd rkgdtcvd rkgdtcvd ( ]) % diulugdnd ( diulugdnd ( ) % ) ] ]

: > : 8 42

2.2: 2.21 2.28 2.41 2.:1

: 1 8 41 :1

;2 ;4 ;8 ;4 19

68 >> ;9 64 ;:

1 : : 1 : > > : 1 1 > 8 :

2.9: 2.9> 2.91 2.>: 2.>> 2.>8 2.;: 2.;> 2.1 2.11 2.6 2.68 2.8

9: 9> 91 >: >> >8 ;: ;> 12 11 62 68 82

> : : > : : : : 422

2.8> 2.81 2.88 2.3: 2.3> 2.31 2.38 4

8> 81 88 3: 3> 31 38 422

 

 

k imrrkspmenk ime gd lmnd.

  K JDZZDY

> 9

:

: 4

14

 

1:

19

1>

11

: 4

4

16

13

64

4

4

4

4

6:

69

6;

68

m ujcidnm ke uem nk gms supkrlkridnms nk Gmjgdws, hujm ; ìd.

 

stuncm=  

cidnms ke uem nk gms supkrlkridnms nk Gmjgdws ime

 

 

kiks dg nìd.

 

9. ^run ^runyy F Frk rkke ke trdj trdjd` d`d d ke gd ^ruk ^ruk-F -Frk rkke ke Gdw Gdwe e Iml Imlpd pdey ey.. Yu td tdrk rkd d imes imescs cstk tk ke ke m ldetkeclck ldetk eclcketm etm nk iãspkn. iãspkn. Ke skfucnd skfucnd dpdrkik dpdrkik ued ued gcstd gcstd nk gd idendn idendn nk nk ict nurdetk gds ðglds 422 hmrds nk ggdldnds. 1 9 ; 6

; 4 1 8

44 6 9 6

3 6 8 6

1 > : >

6 8 > > > 4

8 1 1 ; ; 6

6 ; 6 8 8 6

; 6 6 9 44 6

1 1 : ; ; 3

Arkiukeicd djsmgutd diulugdnd ( ])

Arkiukeicd rkgdtcvd ( ] )

D. Imestruyd ued tdjgd nk rkiukeicds

E² nk ictds pmr hmrd

Arkiukeicd djsmgutd ( ] )

4 : 9 > ; 1 6 8 3 42 44

9 > 8 4> 48 46 43 44 : : :

^M^DG

422

9 6 4; :3

2.29 2.2> 2.28 2.4> 2.48 2.46 2.43 2.44 2.2: 2.2: 2.2:

>6 1>

89 3> 31 38 422

4

J. Nktkrlcek gd lkncd, lkncded y lmnd. Lkncd

;.1>

Lkncded

1

Lmnd

6

c) Irkk ued fräaid nk jdrrds y rksdgtk nk dgfued ldekrd gd jdrrd

 

NCD FZD LD :2

48 4

48 41 4> 4:

4>

42

8

8 1

> 9

> : 2

4

:

9

>

;

1

cc) ½Tuã scfecaid gd lmnd pdrd kg idsm nk kstuncm= Gd lmnd scfec scfecaid aid quk quk nk gds 422 422 hmrds nk nk ggdldnds ggdldnds d tmldr tmldr ict nk ictds, ks nkicr, 6 ictds pmr hmrd.

I. Nktkrlcek, vdrcdezd, nksvcdicùe kstäendr y nksvcdicùe lkncd Qdrcdezd

>.93

Nksvcdicùe kstäendr

:.42

Nksvcdicùe lkncd

4.18

c) ½Iùlm puknk puknk cetkrprktdr cetkrprktdr gd nkvcdicùe nkvcdicùe kstäendr kstäendr pdrd kg idsm n Gd nksvcdicùe nk gds ictds pmr hmrds pdrd kg ldetkeclcketm nk prmlkncm.

N. Nktkrlcek gms iudrgks. Iudrtcg (4) :;%

>

Iudrtcg (:) ;2%

1

Iudrtcg (9) 6;%

6

Iudrtcg (>) 422%

44

c) ½Iùlm puknk cetkrprktdr kg iudrg 4 pdrd kg idsm nk kstuncm= Kg :;% nk gds 422 hmrds quk sk ugczde pdrd dfkendr ictds pmr

 

 

 

   

rkikr pmr tkgãmem ds pmr hmrd quk hczm

8 ; 9 ;

6 > 1 1

> ; 8 ;

6 1 8 ;

: 9 > 1

8 6 1 1 4 ;

; : 42 ; 8 1

; ; > > 1 9

Arkiukeicd Arkiukeicd rkgdtcvd rkgdtcvd Arkiukeicd rkgdtcvd ( ] ) % diulugdnd ( diulugdnd ( ) ]) %

] 2.29 2.26 2.4; 2.:3 2.>6 2.1> 2.89 2.3> 2.31 2.38 4

9 > 8 4> 48 46 43 44 : : : 422

 

quk imrrkspmenk ime gd lmnd.

 

  K JDZZDY 43

44

9 6 4; :3 >6 1> 89 3> 31 38 422

6 42 6 > > 1

9 1 6 9 > >

6

 

8

:

:

:

3

42

44

d, hujm 43 hmrds ke gds iudgks sk dfkenm gd lcsld idendn

 

kstuncm= iãspkn ime rkspkitm d su lkncd ks nk :,42 pmr hmrd ke

  tkgkmem, sk dfkende lkems nk > ictds pmr hmrd.

 

 

 

Ickrtm tm dj djrcid rcidetk etk n nk k pceturd pceturd rkquckr rkquckrk k dedgczdr dedgczdr kg klpm klpm nk nk ski skidnm dnm (ke (ke lceut lceut >. Ickr ldrids nk pceturd ksldgtdnd. Rdrd kstm sk rkimgkitd gd scfucketk cemrldic cemrldicù ù

3 :: 49 3

:4 :4 41 4:

48 3 46 ::

92 4: :: 46

:8 43 46 41

1 49 1 :2

49 46 41 :;

8 4> 48 4:

:4 4: 43 1

4> 49 44 :4

Arkiukeicd rkgdtcvd ( ] )

D. Imestruyd ued tdjgd nk rkiukeicds

^cklpm nk skidnm

Arkiukeicd djsmgutd ( ] )

Arkiukeicd djsmgutd diulugdnd ( ])

:

4

4

2.249

9 > ; 1 8 3 44 4: 49 4> 4; 41 46 48 43 :2 :4 :: :9 :; :1 :8 92

4 : : 9 : 9 > 1 6 1 9 > 1 : 6 9 1 > : : : 4 4

: > 1 3 44 4> 48 :> 94 96 >2 >> ;2 ;: ;3 1: 18 6: 6> 61 68 63 82

2.249 2.2:; 2.2:; 2.298 2.2:; 2.298 2.2;2 2.26; 2.288 2.26; 2.298 2.2;2 2.26; 2.2:; 2.288 2.298 2.26; 2.2;2 2.2:; 2.2:; 2.2:; 2.249 2.249

^M^DG

82

 

4

J. Nktkrlcek gd lkncd, lkncded y lmnd. Lkncd

4;.>>

Lkncded

4;.;

Lmnd

49

43

c) Irkk ued fräaid nk jdrrds y rksdgtk nk dgfued ldekrd gd jdrrd

NCDFZDLD 42 3 8 6

6

1

1

1

; >

> 9

9 : 4 2

4

4

:

9

:

:

>

;

>

9 9

:

1

8

3

44 4: 49 4> 4; 4

cc) ½Tuã scfecaid gd lmnd pdrd kg idsm nk kstuncm=

Gd lmnd scfecaid quk nk gds 82 pceturds, hujm 6 pceturds quk jclmndg, ks nkicr, kxcstke : klpms nk skidnm quk sk rkpctk gd klpms sme nk 49 lceutms y nk 43 lceutms.

I. Nktkrlcek, vdrcdezd, nksvcdicùe kstäendr y nksvcdicùe lkncd Qdrcdezd

96.9>

Nksvcdicùe kstäendr

1.44

Nksvcdicùe lkncd

>.3>

c) ½Iùlm puknk puknk cetkrprktdr cetkrprktdr gd nkvcdicùe nkvcdicùe kstäendr kstäendr pdrd kg idsm n Gd nksvcdicùe nkg klpm nk skidnm (ke lceutms) nk gd pceturd

 

ke prmlk m.

N. Nktkrlcek gms iudrgks. Iudrtcg (4) :;%

4:

Iudrtcg (:) ;2%

41

Iudrtcg (9) 6;%

:2

Iudrtcg (>) 422%

92

c) ½Iùlm puknk cetkrprktdr kg iudrg 4 pdrd kg idsm nk kstuncm= Kg :;% nk gds 82 lukstrds nk pceturd ksldgtdnd, sk skide ke

 

 

ms) nk ued sus .

49 : :; 4;

:2 ; 43 4:

:9 46 44 :1

44 4> 44 43

:: :9 4> 46

; 8 43 49

:1 4; 49 9

:4 4> 4; 41

Arkiukeicd Arkiukeicd rkgdtcvd rkgdtcvd Arkiukeicd rkgdtcvd ( ]) % diulugdnd ( diulugdnd ( ) % ) ] ]

4.:;

2.249

4.:;

4.:; :.;2 :.;2 9.6; :.;2 9.6; ;.22 6.;2 8.6; 6.;2 9.6; ;.22 6.;2 :.;2 8.6; 9.6; 6.;2 ;.22 :.;2 :.;2 :.;2 4.:; 4.:;

2.2:; 2.2;2 2.26; 2.449 2.498 2.46; 2.::; 2.922 2.988 2.>19 2.;22 2.;;2 2.1:; 2.1;2 2.698 2.66; 2.8;2 2.322 2.3:; 2.3;2 2.36; 2.388 4

:.;2 ;.22 6.;2 44.:; 49.6; 46.;2 ::.;2 92.22 98.6; >1.:; ;2.22 ;;.22 1:.;2 1;.22 69.6; 66.;2 8;.22 32.22 3:.;2 3;.22 36.;2 38.6; 422

 

422

> 43 43 :4

:2 4: 4> >

 

quk imrrkspmenk ime gd lmnd.

  K JDZZDY

6 1

1

> 9 :

:

:

: 4

4

1 46 48 43 :2 :4 :: :9 :; :1 :8 92

 

 

k skidrme ke gd lcsld idendn nk klpm, imlm gd lmnd ks lcsld idendn lkeicmednd detkrcmrlketk y kstms

kstuncm= ksldgtdnd ime rkspkitm d su lkncd ks nk 1,44 pmr lceutms

 

  kems nk 4: lceutms.

 

tklds ds nk sdgun sdgun rkprks rkprksket ketde de ued prkmiu prkmiupdic pdicùe ùe pdrd pdrd fkrk fkrketk etks, s, ke ksp ;. Gms tkl keiuks kei ukstd td rkick rkicketk etk ketr ketrk k 4;2 k`ki k`kiuv uvms ms nk Kgvk Kgvkrs rs Cenus Cenustrc trcks, ks, ued ued clpmr clpmrtd td Kstdnms [ecnms, cemrlù gd idendn nk gcjrds nk smjrkpksm nk gms k`kiu

Gcjrds nk smjrkpksm 2d1

1 d 4: 4: d 48 48 d :> :> d 92

D. Imestruyd ued tdjgd nk rkiukeicds Cetkrvdgm Lce.

Ldx.

Ldrid nk igdsk] ( )

_2-1) _1-4:)

2 1

1 4:

9 3

4> >:

_4:-48) _48-:>) _:>-92\

4: 48 :> ^M^DG

48 :> 92

4; :4 :6

;8 :8 8 4;2

Cetkrvdgm

Arkiukeicd djsmgutd ( ])

J. Nktkrlcek gd lkncd, lkncded y lmnd.   ̋< : 968 862 ;88 :41 :23>

 

:8

 

8

)

 

_48- :>)

_:>- 92\

nk gms ndtms, kxditdlketk 49,31, ks nkicr, ke kg cetkrvdgm _4:-48) sk eiks gd lctdn nk gms k`kiuvms keke lkems nk 49,31 gcjrds nk nk

 

〖

91.8> 1.26

√ ̋  〖 ∖  ]c)/e

 

>.8:

m nk kstuncm= ms nk Kgvkrks cenustrcks ime rkspkitm d su lkncd ks nk 1,26 nk

 

]4↚96,; (√4) ) )∖] ]:↚6; ]9↚44:,; ]>↚4;2

  JCFM^KY   g 9 < 48

3 4> 48 92

Iudrg > 92

 

:2

:;

92

9;

 

ncm

 

mjrkpksm lukstrd quk gd lkncded nkg smjrkpksm ks nk 4> gcjrds. Gd trk 3 y 48 gcjrds, pkrm dgfuems k`kiuvms keke smjrkpksms jd`ms

 

】 ( 〖  ]c√ "") ̋】 ) 〖 ]c√ ̋∖]c " U∖ ]

4184.62 4299.:6 1:.69 4986.6: 4912.99

4;9.>> :28.9: 12.9: 436.4: 42>.9:

;;:;.61

6:9.;:

→ Iudrg 4 → LKNCDED S L → Iudrg : y 9 → Iudrg >

 

;. Gms fdstms ke pujgcicndn imestuyke ue kgklketm scfecaidvm nkg imstm rkiukeicds quk lukstrd gms fdstms ke pujgcicndn nk 4122 imlpdôìds l

Fdstms ke pujgcicndn ($ Lcggmeks) ; d 4; 4; d :; :; d 9; 9; d >; >; d ;; ;; d 1; 1; d 6; 6; d 8; 8; d 3; 3; d 42;

D. Imestruyd ued tdjgd nk rkiukeicds Cetkrvdgm

Cetkrvdgm

_;-4;) _4;-:;)

Lce.

Ldx.

Ldrid nk igdsk ] ( )

; 4;

4; :;

42 :2

Arkiukeicd djsmgutd ( ])

92 6>

_4; :;) _:;-9;) _9;->;) _>;-;;) _;;-1;) _1;-6;) _6;-8;) _8;-3;) _3;-42;\

4; :; 9; >; ;; 1; 6; 8; 3; ^M^DG

:; 9; >; ;; 1; 6; 8; 3; 42;

:2 92 >2 ;2 12 62 82 32 422

6> 84 488 :4; :1: :83 :;9 4;9 ;; 4122

J. Nktkrlcek gd lkncd, lkncded y lmnd.   ̋< ;- ;;)

cc) ½Tuã scfecaid gd lkncd pdrd kg idsm nk kstuncm= Gd lkncd lkncd scfecaid scfecaid quk ke kg cetkrvdg cetkrvdgm m _;;-1;) _;;-1;) kstd gd lctd lctd ncvcnk ncvcn k ke : d gds 4122 imlpdôcds, imlpdôcds, ketmeiks ketmeiks gd lctdn lctdn nk gd prkicm ldymr d kstk.

 

I. Nktkrlcek, vdrcdezd, nksvcdicùe kstäendr y nksvcdicùe lkncd

"ω"82 :>92 6;:2 426;2 4;6:2 :2:92 :2:>2 49662 ;;22 363>2

 

;;

_;;-1;)

 

_1;- 6;)

_6;- 8;)

_8;- 3;)

_3;- 42;\

nk gms ndtms, kxditdlketk 14,:4, ks nkicr, ke kg cetkrvdgm _;;-1;) sk imlpdôcds pdfde lkems nk 14,:4 ke pujgcicndn y gd mtrd lctdn ue

 

>>6.68

)〖

:4.41

c√ ̋  〖 ∖  ]c)/e

 

46.:3

m nk kstuncm= ds ldecditurds ujcidnds ke kg surmkstk nk Kstdnms uecnms ime

 

 

]4↚>22 (√4) ) )∖] ]:↚822

>1

]9↚4:22 ]>↚4122

66

19 42;

@DY S JCFM^KY : < 19

 

 

 

  Iudrg 9 < 66

Iudrg > 42;

12

   

 

62

82

32

422

442

ncm fdstms ke pujgcicndn lukstrd quk gd lkncded nkg fdstm ke keke ue fdstm quk kstä ketrk >1 y 66 lcggmeks, pkrm dgfueds gtms imlm 42; lcggmeks.