Exercícios de Estatística

   

9=/94/>986

AVA^MÀMJB] DA A]THTÀ]TJMH

AVA^MÀMJB] DA A]THTÀ]TJMH >.8.4 Axarmàmjbs 8) Mbosjdarhodb bs mboluotbs da dhdbs< h. =, 1, >, 7, 1, :, 1, >, 6, 7 x 0 1,83 @d 0 13 @b 0 1 n. >9, :, 5, >, 8>, 5, >, 81, 5

x 0 :3 @d 0 53 @b 0 5

m. 18,73 46,53 19,=3 4:,13 46,: d. 81, 86, >9, 8=, 89, 87, 89,  87, 84

x 0 4:,63 @d 0 4:,13 @b 0

x 0 81,83 @d 0 813 @b 0

Ç

Ç

mhkmuka<

J. h `êdjh3

JJ. h `adjhoh3

JJJ. h `bdh.

 

>) B shkèrjb-fbrh da mjomb guomjboèrjbs da u`h mb`phofjh, síb< ^$ 51,993 ^$ :9,993 ^$ 6=,993 ^$ 84>,99 a ^$66,99 Datar`joa<

h. h `êdjh dbs shkèrjbs-fbrh3 ^$ :7,99 n. b shkèrjb-fbrh `adjhob. ^$ 66,99  

=. Hs obths da u` mhodjdhtb, a` sajs prbvhs da u` mbomursb, gbrh`< 6,43 :,83 5,>3 7,63 6,5 a 5,>.

MBOTAÜDB DA  @HTA@ÈTJMH - 8… Datar`joa<   DA… AVA^MÀMJB] DA…

8

     

pasqujshr 

obth Khtarhk  `êdjh3  5,: h) hNhrrh n) h obth Khtarhk `adjhoh3 5,6 m) h obth `bdhk. 5,>

  4. Mbosjdarhodb h djstrjnujåíb hnhjxb<

 

xj g j

=

4

1

7

5

6

4

6

88 89

6

=

  Mhkmuka<      

h) h `êdjh3 1,4 n) h `adjhoh3 1 m) h `bdh. 1

 

1. A` u`h mkhssa da 19 hkuobs, hs obths bntjdhs gbr`hrh` h saeujota djstrjnujåíb< Ta`h Wjsuhkjzhåñas djoî`jmhs. Mb` tamobkbejh db Nkbeear . fttp988/88/axarmjmjbs-da-asthtjstjmh.ft`k

8/1

 

9=/94/>986

AVA^MÀMJB] DA A]THTÀ]TJMH

 

OBTH] O¼ DA HKQOB]

 >

=

4

1

7

5

6

:

89

 8

=

7

89

8=

6

1

=

8

  Datar`joa<

h) h obth `êdjh3 1,: n) h obth `adjhoh3 7  m) h obth `bdhk. 7

   

 

7. Datar`joa h `êdjh hrjt`êtjmh da< h. 74,1 WHKB^A] XQHOTJDHDA]

19  6

79 1

69 4

:9 =

 

n.

16,6

xj g j

19

16

77

>9

19

=9

5. Datar`joa bs dasvjbs a` rakhåíb é `êdjh dbs saeujotas dhdbs< 7, 6, 1, 8>, 88, 5, 4, 81. Datar`joa h sb`h dbs dasvjbs. ->,13 -9,13 -=,13 =,13 >,13 -8,13 -4,13 7,1

 

6. Mhkmuka h `êdjh hrjt`êtjmh dhs djstrjnujåñas da d a graqûìomjh hnhjxb< h.

n.

1,=

OBTH] 9 > 4 7  6

κ— > κ— 4 κ— 7 κ— 6 κ— 89  

gj   1 6 84 89 5

85>,4 m`

A]THTQ^H] (m`)

g j

κ— κ— κ— κ—

1 8> 86 >5

819 816 877 854

816 877 854 86>

86> κ— 8:9

∘ 0 44

 

 

6 ∘ 0 59

 

m.

d. 81:,4 ce

^$ 64=,99

]HKÈ^JB] (^$)

g j

199 κ— 599 599 κ— :99   :99 κ— 8.899 8.899 κ— 8.=99 8.=99 κ— 8.199

86 =8 81 = 8

8.199 κ— 8.599 8.599 κ— 8.:99

8 8

 

∘ 0 59

YA]B] (ce)

gj  

κ— κ— κ— κ— κ— κ—

89 : 6 7 = =

841 818 815 87= 87: 851

818 815 87= 87: 851 868

868 κ— 865

 

8 ∘ 0 49

 

  Ta`h Wjsuhkjzhåñas djoî`jmhs. Mb` tamobkbejh db Nkbeear . fttp988/88/axarmjmjbs-da-asthtjstjmh.ft`k

>/1

 

9=/94/>986

AVA^MÀMJB] DA A]THTÀ]TJMH

:. Mhkmuka h `adjhoh da mhdh u`h dhs djstrjnujåñas db axarmàmjb 6. h. 1,=

n. 854 m`

m. ^$ 689,99

d. 815,6 ce

 

89. Mhkmuka h `bdh da mhdh u`h dhs djstrjnujåñas db axarmàmjb 6. h. 1

n. 856 m`

m. ^$ 699,99

d. 846 ce

 

88.  Wbmì gaz dbjs trhnhkfbs ou` sa`astra a bntava hs obths 6,1 a 1,1. Xuhk dava sar h obth qua vbmì dava tjrhr ob =¼ trhnhkfb phrh qua h `êdjh dbs trìs salh 5< 5

 

8>.  Ou`h a`prash, vjota bparèrjbs tì` shkèrjb da ^$ 4.999,99 `aoshjs3 daz bparèrjbs tì` shkèrjb da ^$ =.999,99 `aoshjs a trjoth tì` shkèrjb da ^$ >.999,99 `aoshjs. Xuhk ê b shkèrjb `êdjb dassas bparèrjbs< V 0 >.6==,==

 

8=. Axpkjqua h rakhåíb `êdjh hrjt`êtjmh a `êdjh pbodarhdh. Yasqujsa mhsb oamassèrjb.

 

H `êdjh pbodarhdh ohdh `hjs ê db qua h `êdjh hrjt`êtjmh mbosjdarhodb mbosjdarhodb b vhkbr xo bmbrraodb po vazas.

  84.  Ou`h erhoda a`prash, a` trìs satbras pasqujshdbs ou` datar`johdb djh, gbrh` mbosththdhs ghkths da guomjboèrjbs, hssj` djstrjnuàdbs<        

* 4% ob satbr hd`jojstrhtjvb3 * 6% ob satbr da prbduåíb3 * 8>% ob satbr mb`armjhk. Mhkmuka h `êdjh da ghkths dassa djh, mbosjdarhodb qua, ob satbr da prbduåíb, fè >99 guomjboèrjbs, b satbr hd`jojstrhtjvb ta` 19 guomjboèrjbs a b satbr mb`armjhk ta` 51 guomjboèrjbs. V 0 (87 + > + :) / =>1 0 6,=%

 

81.  Q` mhrrb, ou`h vjhea`, hodbu 1 fbrhs h 79 c` pbr fbrh. Datar`joa h vakbmjdhda fbrèrjh `êdjh oasshs 6 fbrhs da vjhea`. 57,>1 c`/f

 

87. H `êdjh hrjt`êtjmh aotra 19 oü`arbs ê jeuhk h =6. Dbjs oü`arbs síb ratjrhdbs< b oü`arb 11 a b >8. Mhkmuka h `êdjh hrjt`êtjmh dbs oü`arbs qua rasthrh`. =6

 

85.  Q` burjvas gaz u`h kjeh guodjodb >99 e da burb 84 c (qujkhtas) mb` 899 e da burb 87 c. B oü`arb qua dè h `akfbr hprbxj`håíb a` qujkhtas da burb bntjdb ê< pbsjtjvb  

h) 84,1 c

n) 84,7 c

m) 84,5 c x

d) 81,9 c

a) 81,1 c

 

86. Ou` mbomursb da vastjnukhr phrh dbjs mursbs H a N, mb`phramarh` 199 mhodjdhtbs phrh b mursb H a 899 mhodjdhtbs phrh b mursb N. Oh prbvh da @hta`ètjmh, h `êdjh hrjt`êtjmh earhk, mbosjdarhodb bs dbjs mursbs, gbj 4,9. @hs, mbosjdarhodb hpaohs bs mhodjdhtbs hb mursb H, h `êdjh mhj phrh =,6. Ta`h Wjsuhkjzhåñas djoî`jmhs. Mb` tamobkbejh db Nkbeear . fttp988/88/axarmjmjbs-da-asthtjstjmh.ft`k

=/1

 

9=/94/>986

AVA^MÀMJB] DA A]THTÀ]TJMH

H `êdjh dbs mhodjdhtbs hb mursb N, oh prbvh da @hta`ètjmh, gbj< pbsjtjvb h) 4,> n) 1,9 x  m) 1,> d) 7,9 a) 7,>

 

8:. ]alh @ h `êdjh hrjt`êtjmh da 81 oü`arbs quhjsquar. ]untrhjodbsa 89 uojdhdas da mhdh u` dassas oü`arbs, bntì`-sa 81 obvbs oü`arbs, mulh `êdjh hrjt`êtjmh ê< h) @ ” 81 n) @ + 819 m) @ ” 89 x  d) @ + 89 a) 89 @ pbsjtjvb

 

>9. Mbosjdara u` erupb gbr`hdb pbr mjomb h`jebs mb` jdhda da 8=, 8=, 84, 84 a 81 hobs. B qua hmbotama mb` h `êdjh da jdhda dassa erupb, sa u` saxtb h`jeb mb` 87 hobs luothr-sa hb erupb2 pbsjtjvb h) Yar`hoama h `as`h n) Dj`jouj 8 hob m) Hu`aoth 8> hobs d) Hu`aoth `hjs da 8 hob a) Hu`aoth `aobs da 8 hob x

 

>8.  H `êdjh hrjt`êtjmh dbs oü`arbs phras da dbjs hkehrjs`bs ê< pbsjtjvb h) 19

n) 18

m) 1>

d) 1=

a) 14 x

 

>>. H `êdjh hrjt`êtjmh da u` erupb da 8>9 passbhs ê da 49 hobs. ]a h `êdjh hrjt`êtjmh dhs `ukfaras ê da =1 hobs a dbs fb`aos ê da 19 hobs, quhk b oü`arb da passbhs da mhdh saxb, ob erupb2 (∘ jf + ∘ j`)/8>9 0 49 .< ∘ jf/f 0 19 .< ∘ j`/` 0 =1 .< f + ` 0 8>9 ↞ 69 `ukfaras a 49 fb`aos

 

>=. ]hna-sa qua h `êdjh hrjt`êtjmh da 1 oü`arbs jotajrbs djstjotbs, astrjth`aota pbsjtjvbs,  ê 87. B `hjbr vhkbr qua u` dassas jotajrbs pbda hssu`jr ê< pbsjtjvb h) 87

n) >9

m) 89

d) 59 x 

a) 899

 

>4. Ou` phàs, h pbpukhåíb ga`jojoh ê 18% db tbthk. H jdhda `êdjh dh pbpukhåíb ga`jojoh ê =6 hobs a dh `hsmukjoh ê =7. Aotíb, h jdhda `êdjh dh pbpukhåíb, a` hobs, ê< pbsjtjvb h) =5,9> x 

n) =5,99

m) =5,>9

d) =7,79

a) =5,91

 

>1.  Ou`h pbpukhåíb, h rhzíb db oü`arb da `ukfaras phrh b da fb`aos ê da 88 phrh 89. H jdhda `êdjh dhs `ukfaras ê =4 a h jdhda `êdjh dbs fb`aos ê =>. Aotíb, h jdhda `êdjh dh pbpukhåíb ê hprbxj`hdh`aota< pbsjtjvb  

h) =>,:

n) =>,:1

m) ==,99

d) ==,91 x 

a) ==,89

 

>7.  Ou`h mkhssa da u`h ghmukdhda axjsta` hkuobs da h`nbs bs saxbs. Ta`h Wjsuhkjzhåñas djoî`jmhs. Mb` tamobkbejh db Nkbeear . fttp988/88/axarmjmjbs-da-asthtjstjmh.ft`k

4/1

 

9=/94/>986

AVA^MÀMJB] DA A]THTÀ]TJMH

Ou`h prbvh, hs `êdjhs hrjt`êtjmhs dhs obths dbs fb`aos a dhs `ukfaras gbrh` raspamtjvh`aota jeuhjs h 7,> a 5,9. H `êdjh hrjt`êtjmh dhs obths da tbdh h mkhssa gbj jeuhk h 7,1. H `hjbr phrta dbs astudhotas dassh mkhssa ê mb`pbsth da `aojobs bu da `aojohs2 Lustjgjqua suh raspbsth, mhkmukhodb h pbrmaothea` da hkuobs db saxb `hsmukjob.

Yunkjmhdb 5tf Obva`nar >988 pbr >988 pbr Yadrb Djhtjkb Yhukb 8   Wjsuhkjzhr mb`aotèrjbs

Mhrkbs Garohodb

>9 da daza`nrb da >987 és 88>

Oíb axjsta mèkmukb2 ^aspbodar 

 

Jotrbduzh b sau mb`aotèrjb...

Mb`aothr mb`b