exercicios_de_estatistica_descritiva.doc

PUCRS - FAMAT - DEPTº DE ESTATÍSTICA ESTATÍSTICA ESTATÍSTICA APLICADA APLICADA A ADMINISTRAÇÃO I  PROF VALTER  LISTA DE EXERCÍCIOS

ESTATÍSTICA DESCRITIVA

1 - Classifiqu as !a"i#!is a$ai%&' (a) T*+& T*+& +a"a +a"a fa," fa," u* s. s. ($) N/*"& 0 0 alu&s alu&s a+"&!a0&s a+"&!a0&s +&" +&" u"*a. (2) N3!l s42i&-2& s42i&-2&5*i2 5*i2&& (0) 6I (6u&2i (6u&2i 0 ili782ia ili782ia). ). () S%& (f) 9a 9as& s&ss 2&* ali* ali*a a:; :;&. &. (7) O+ii;& O+ii;& 2&* "la:;& "la:;& < +a +a 0 *&" (=) (=) Rli Rli7i 7i;& ;& (i) Val&" 0 u* i*4 i*4!l !l (>) C& C&2 2i& i&ss * 2"a 2"a 0is2i+l 0is2i+lia ia (?) Classifi2a Classifi2a:;& :;& * u* 2&2u"s& 2&2u"s&.. @ - Os 0a0&s a s7ui" "f"*-s a& /*"& 0 li!"&s a0qui"i0&s & a& +assa0& +l&s B alu&s 0a Tu"*a A' B    (a) ($) (2) (0) ()

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1 1 1 

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Classifiq Classifiqu u a !a"i#!l. !a"i#!l. O"7ai, &s 0a0&s * u*a a$la a$la a0qua0a. a0qua0a. 6ual & +"2ual +"2ual 0 alu&s qu a0qui"i"a* *&s *&s 0& qu  li!"&sH 6ual & +"2ual +"2ual 0 alu&s qu qu a0qui"i"a* +l& *&s *&s B li!"&sH A +a"i" 0& i* ($) ($) qua&s li!"&s li!"&s f&"a* a0qui"i0&s a0qui"i0&s +l&s B B alu&sH

 - C&si0" &s 0a0&s a$ai%& "f"s a& 2&su*& 0 #7ua * *  0  2&as 0a CORSAN' @ G @@ B @   B @ 1 1@ 1J

11 1 1@ 1

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@G   1

@ 1B 1J @

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@ @ 1@ 1B

1 1 @1 @

 @B 1 B

1  1@ 

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@  @G BB 11   BG 1 G @ BJ G 1J 11 (a) O"7ai, &s 0a0&s u*a 0is"i$ui:;& 0 f"qK82ia 2&* J 2lasss 0 a*+liu0s i7uais s0& Li  G. ($) A +a"i" 0a 0is"i$ui:;& 0 f"qK82ia 2&s"u30a & i* a"i&" 0"*i  i"+"' f  f" B F F" G (F"  F"@) B - C&si0" &s s7uis 7as&s 0i#"i&s 0a AC l0a * ui0a0s *&#"ias (UM)' 1J 11G @G 1   G@   1@ 1@ 1G 1G @  @B @ B 1@ 1@  1 B @ (a) 6ual  a !a"i#!l su0a0aH Classifiqu-a. ($) C&s"ua u*a 0is"i$ui:;& 0 f"qK82ias 2&si0"a0& su li*i if"i&" i7ual a B UM su li*i su+"i&" i7ual a B UM  u* /*"& 0 2lasss i7ual a   2al2ul sus l*&s 2a"a2"3si2&s. (2) Cal2ul  i"+" & !al&" 0 (F"B  F"@). (0) C&s"ua a 2u"!a 0 f"qK82ias a$s&luas 2&""s+&0  2lassifiqu-a qua& a si*"ia  a 2u"&s.  - C&s"ua u* 0ia7"a*a 0 s&"s +"2ual 2&""s+&0 a&s *+"7a0&s 0a ADR L0a qu +&ssui a s7ui 0is"i$ui:;& +&" #"a 0 "a$al=&' Di"&"ia (  +ss&as) Assss&"ia (G +ss&as) T"as+&" (1 +ss&as) A0*iis"a:;& ( +ss&as) Q"a 2i2a (1 +ss&as)  Q"a &+"a2i&al ( +ss&as). G - A$ai%& s;& *&s"a0&s &s sal0&s *0i&s 0 B 2&as 0 2lis 0&  N&!& S.A. (0a0&s $"u&s * US 1). B  1 1 @ @   @@ B 1 B J   @ G   G 1  1  B J  @ G   G 1  @@ @ 1 1@ @ G @    B G 1 @ (a) A7"u+ &s 0a0&s u*a 0is"i$ui:;& 0 f"qK82ias s0& Li  1 =  1 ($) D"*i as f"qK82ias "lai!as' si*+ls  a2u*ula0a. (2) A+"s & =is&7"a*a 0 f"qK82ias "lai!as. (0) I"+" f" @ f   (F" B  F" @). () Cal2ul *0ia *0iaa  *&0a 0&s 0a0&s ii2iais. I"+".  - Du"a 2"& +"3&0& 0 *+& as a%as 0 >u"&s *  +a"a 0, a:s f&"a* as qu a a$la a$ai%& "7is"a' A:;& Ta%a

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  Cal2ul' (a) a a%a *0ia

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($) a a%a *0iaa (2) a a%a *&0al (0) & 0s!i& +a0";& 0as a%as () & 2&fi2i 0 !a"ia:;& 0as a%as.  - C&si0" &s 0a0&s "f"s a& 2&su*& 0 #7ua * *  0  2&as 0a CORSAN. C&su*&   1 1  @ @     B B     G T&al

f  @ @ 1J 1G  B 

(a) 0"*i as f"qK82ias si*+ls  a2u*ula0as ( a$s&luas  "lai!as) ($) 2&s"ua & 2&""s+&0 =is&7"a*a 0& i+& f"=. (2) 2al2ul  i"+"' f" @  f    (F" B - F" @ ) (0) 2al2ul a *0ia a"i*i2a 0& 2&su*& 0 #7ua. () 0"*i & i"!al& qu 2&* a *0iaa. (f) 2al2ul & !al&" 0a *&0a $"ua. (7) 2&" as *0i0as 0 !a"ia$ili0a0' !a"iW2ia a$s&lua 0s!i& +a0";&  2&fi2i 0 !a"ia:;&. (=) C&s"ua a &7i!a 0 +"&+&":s a2u*ula0as J - A a$la a$ai%& i0i2a & /*"& 0 a2i0s &2&""i0&s 2&*  *&&"isas 0 u*a *+"sa 0 5i$us &s /li*&s  a&s'  Nº DE ACIDENTES  1 @  B  G  Nº DE MOTORISTAS 1 11 @ J G   (a) ($) (2) (0) () (f)

 1

D"*i & /*"& 0 *&&"isas 2&* *&s 0 1 a2i0. D"*i & +"2ual 0 *&&"isas 2&* +l& *&s  a2i0s. D"*i & +"2ual 0 *&&"isas 2&* & *#%i*& @ a2i0s. 6ual & /*"& &al 0 a2i0s &2&""i0& & +"3&0&H 6ual a *0ia 0 a2i0sH E a *&0a 0 a2i0sH E a *0iaaH C&* &s !al&"s 0a *0ia 0a *&0a  0a *0iaa !"ifiqu & qu +&0*&s afi"*a" qua& a si*"ia 0ssa 0is"i$ui:;&.

1 - E* 2"a *+"sa "a$al=a* B aalisas 0 *"2a0& @ su+"!is&"s 1 2=f 0 s:;&  1 7" qu 7a=a* "s+2i!a*' R1. R1.G R@. R.. 6ual & !al&" 0& sal#"i& *0i& 0sss fu2i&#"i&sH

11 - Os 0a0&s a$ai%& f&"a* 2&l=i0&s 0 u*a a*&s"a 0 a!s 0 2"a s+2i &0 su0&u-s & *+& * 0ias qu &s fil=&s l!a!a* +a"a a$a0&a" & i=&' TEMPO

Nº DE FILOTES

 |  1 1|  1 1|  @ @ |  @ @ |  

1B 1G 1 1 

D"*i ' (a) & *+& *0i& ($) & i"!al& qu 2&* & !al&" 0a *0iaa. (2) & i"!al& qu 2&* a *&0a. (0) & 0s!i& +a0";& 0a 0is"i$ui:;&  i"+"-&. 1@ - U*a 0is"i$ui0&"a 0 "f"i7"as f, u* l!aa*& s&$" & 2&su*& s*aal (* li"&s) +&" +ss&a * >a@@ * u*a 2i0a0 0& li&"al &$0& a a$la a$ai%&' CONSUMO Nº DE PESSOAS 1  |  @  | 1 J 1 | 1  1 | @ G   @ | @ (a) ($) (2) (0) ()

D"*i  i"+" & 2&su*& *0i&. 6ual & +"2ual 0 +ss&as qu 2&s&** *&s 0 1 li"& +&" s*aaH D"*i &s i"!al&s qu 2&* & 2&su*& *&0al  & 2&su*& *0ia&. S a *+"sa * u* lu2"& 0 R +&" li"& qual & lu2"& *0i& +&" +ss&aH Cal2ul & 0s!i& +a0";&.

1 - A +&lui:;& 2ausa0a +&" 4l& * *a"s  &2a&s si*ula & 2"s2i*& 0 2"&s i+&s 0 $a2"ias. U*a 2&a7* 0 *i2"&&"7ais*&s +"ss & +"4l& (/*"& 0 $a2"ias +&" 1 *ilili"&s) * 1 +&":s 0 #7ua 0& *a" i0i2&u as s7uis *0i0as' BJ

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G

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1B - U* su0& f&i "ali,a0& +&" u* +"&fss&" * "8s u"*as &$0& a *0ia  & 0s!i& +a0";& 0as &as 0 sua 0is2i+lia 2&f&"* a$ai%&. 6ual a u"*a 2&* *&"  !a"ia$ili0a0H Yusifiqu a0qua0a*. TURMA MZDIA DESVIO PADRÃO

A  G  @@ 1

C  @

1 - A a$la a$ai%& if&"*a & /*"& 0 +ss&as a0i0as 0 u"782ia & PS 0 2"a 2i0a0 & +"3&0& 0 @@ 0ias.  Nº DE ATENDIMENTOS  1 @  B

 Nº DE DIAS B   @ 1

(a) 6ual a *0ia a *&0a  a *0iaa 0&s a0i*&sH ($) D"*i & 0s!i& +a0";& 0& /*"& 0 a0i*&s. (2) Ds= & +&l37&& 0 f"qK82ias "lai!as. (0) Cal2ul  i"+" & 2&""s+&0 2&fi2i 0 !a"ia$ili0a0. 1G - Os &+"#"i&s 0 u* s&" i0us"ial 8* * >ul=& u* sal#"i& *0i& 0  sal#"i&s *3i*&s(s.*.)  0s!i& +a0";& 0 @ s.*. U* a2&"0& 2&li!& +"!8 +a"a a7&s& u* au*& 0 G *ais u*a +a" fi%a 2&""s+&0 a  s.*. 6ual a *0ia 0& /*"& 0 sal#"i&s *3i*&s  qual & 0s!i& +a0";& * a7&s&H 17 -

U*a Dis"i$ui:;& A +&ssui *0ia a"i*i2a i7ual a   0s!i& +a0";& i7ual a . U*a &u"a 0is"i$ui:;&  +&ssui *0ia a"i*i2a i7ual a B  !a"iW2ia i7ual a G. 6ual 0las * a *0ia a"i*i2a *ais "+"sai!aH

1 - Na a0*iis"a:;& 0 u* sis*a s2&la" 0 2"& *ui23+i&  0a 0s+sa !ai  +a"a & si& 1@ +a"a a a0*iis"a:;&  *au:;&  1 +a"a 4"7;&s au%ilia"s 2a"7&s fi%&s  0s+sas &2asi&ais. 6ual & 7"#fi2& qu *l=&"  "+"sa"ia ssa siua:;&H S & !al&" &al 0a 0s+sa  0 1. ui0a0s *&#"ias qual  & !al&" 7as& 2&* a0*iis"a:;&  *au:;&H 1J - A &a *0ia 0&s alu&s 0 u*a 2lass f&i   0as aluas J. O /*"& 0 alu&s "a @  0as aluas . 6ual a &a *0ia 0a 2lass &0aH

@  As &as 0 sa3si2a 0 u*a u"*a s;& a a$la s7ui.  N&a 1 @  B  G   J  Nº 0 alu&s @ G J 1@ 1B J  B 1 (a) Cal2ul &s !al&"s 0a *0ia  0a *0iaa  0a *&0a 0ssas &as. ($) Cal2ul & !al&" 0a !a"iW2ia 0ssas &as. @1 - A a$la s7ui a+"sa a +"&0u:;& 0 2af * *il=s 0 &la0as a "7i;& DELTA. ANO 1JJ@ 1JJ 1JJB 1JJ 1JJG 1JJ 1JJ 1JJJ @ @1 T& 1@ 1 1 @@ 1 1B 1 @ @J @ (a) Cal2ul & !al&" 0a +"&0u:;& *0ia. ($) Cal2ul & !al&" 0a *&0a 0a +"&0u:;&. (2) Cal2ul & !al&" 0a *0iaa 0a +"&0u:;&. (0) Cal2ul & !al&" 0& 0s!i& +a0";& 0a +"&0u:;&  i"+" & "sula0&. () Cal2ul & !al&" 0& 2&fi2i 0 !a"ia:;&  i"+" & "sula0&. @@  C&si0" & +&l37&& 0 f"qK82ias s7ui ' Número de consertos diários realizados pelos f uncionários da Delta Ltda 60

50

  s   o    i   r    á   n   o    i   c   n   u    f   e    d    !   n

50

40

40

30

30

20

20 15

10

10

10 5

0

0 0

0 1

2

3

4

5

6

7

8



10

n! de consertos

(a) 6ual & +"2ual 0 fu2i&#"i&s qu fi,"a* *ais 0 G 2&s"&s & 0ia aalisa0&H ($) 6ual & &al 0 2&s"&s "ali,a0&s +la *+"sa & 0ia aalisa0&H (2)D"*i &s !al&"s 0a *0ia 0a *&0a  0a *0iaa 0& u*"& 0 2&s"&s 0i#"i&s 0a Dla L0a. (0) 6u !&28 +&0 afi"*a" qua& a si*"ia 0ss 0a0&s H E%+liqu[

@ - C&si0" & 7"#fi2& s7ui'

Salário Mens al dos Empregados da GHT Ltda

45

CLASSE 1 @  B  G  

40

40

35

  s 35   o    d 30   a   g   e   r 25   p   m    E 20   e    d 15    º    N

25 20

20 15

10

10

5

5 0 1

2

3

4

5

6

7

U.M. B a \ G G a \   a \ 1 1 a \ 1@ 1@ a \ 1B 1B a \ 1G 1G a \ 1 1 a \ @

8

Salário (em Unidades M onetárias)

(a) 6ual a 0&*ia:;& 0ss 7"#fi2&H ($) 6ual & i"!al& qu 2&* a *0iaa 0sss 0a0&sH (2) 6ua&s 0sss *+"7a0&s 7a=a* *&s qu 1@ U.M. 0 sal#"i& *salH (0) 6ual & sal#"i& *0i& 0sss *+"7a0&sH @B - C&si0" & 7"#fi2& s7ui' SALARIOS OS EM!REGAOS A A"# LT A 160

   S    O140        A 120    G100    E    R 80    !    M 60    E 40    M    U 20    N

150 130 105 70 30

0

10

0 0

2

4

6

8

10

12

14

16

18

CLASSE 1 @  B  G

U.M. B a \ G G a \   a \ 1 1 a \ 1@ 1@ a \ 1B 1B a \ 1G

SALARIO (U$M$)

(a) qual a 0&*ia:;& 0ss 7"#fi2&H ($) 6ual & +"2ual 0sss *+"7a0&s qu 7a=a* *&s 0 1 U.M. 0 sal#"i&H (2) si* & !al&" 0a *0iaa 0sss 0a0&s.

RESPOSTAS

@) ) ) J) 11) 1@) 1) 1B) 1) 1G)

2) G 0) @@ ) J@ a) @G $) @G1 2) @GB ) 1J @GB @BB f) B 1@@ 1@ B a) 1 $) B 2) GG 0) 1@ ) @1 @@ a) 1GB $) 1GJ 2) 1 a) 1@ $) G1 2)    0) 1 ) G1 a) JG GG $) 1B u"*a  a)1 $) 1G   @