Medidas de Dispersión para Datos Agrupados y No Agrupados

 

‒Eõh ga be Qfdvarsebdzekdûf ga be [ebug–

@EKQBWEG GA GA_AKJH T KDAFKDE ]HBDWDKE A[KQABE ]_H@A[DHFEB GA GA_AKJH

WACE>

Cagdges ga gdsparsdûf pere geths eirupeghs y fh eirupeghs KQ_[H>

Astegãstdke

GHKAFWA>

Ceidstar. Bah Certãf Kjucoa _hgrãiuaz

KDKBH>

DD

EBQCFH>

 Efgy [tdva, Kûrghve Oeroeråf Oeroeråf

]QKEBB]E ‛ ]A_Þ ?=?=

 

ANA_KDH[ ]_H]QA[WH[ 5. Kebkuber Kebkuber ab kha`kdaf kha`kdafta ta ga verdekdûf verdekdûf gab sd sdiudafta iudafta khfnuft khfnufth h ga geths geths>> ?, 7, 0, : y 5=, seodafgh seodafgh qua hrce hrce ufe phobekdûf.

⅊

 

( x ˔⅊ ∟ x · )

 

x⅊

 

( x⅊∟ x· )?

5 ? ; 7

? 7 0 :

-7 -? = ?

50 7 = 7

1 Whteb

5= ;=

7

50 7=

Cagde> f

 x· 3

1

 x ⅊ ↟ x· 3   ∕ ∕ 3 3 ⅊ 5 f

;= 3

⅊ 5,?,;,7,1

;= 1

30 ↟ x· 30

1

Perdefze> f

?

s3

¸¸ ∕ 3 ⅊ 5 f∟ 5

Gasvdekdûf Aståfger>

s3 ∞ 5= 5= 3;.50 Kha`kdafta ga Perdekdûf>

;.50  s Ù 5== ↟k . v 31?.09% k v 3  Ù 5== 3 0  x·   ⋁

_pt> Ab kha`kdafta ga verdekdûf as gab 1?.07% sdafgh ceyhr eb 51%, phr bh tefth, as jatarhiäfah.

?. Be teobe cuastre cuastre bes bes fhtes ga ga Astegãske Astegãske ga uf iruph iruph ga ?= astug astugdefta deftas, s, kebkuber kebkuber bes cagdges cagdges ga gdspars gdsparsdûf dûf a dftarprater.

⅊ 5 ? ; 7 1 0 9 Whteb

 

Fhtes  y⅊

 Astug⅊eftas   `⅊

5? 5; 57 51 50 59 5:

5 ; ? 1 0 ? 5 ?=

( y ˔⅊ ∟ y· )   ( y⅊ ∟ y· )? -;.5 -?.5 -5.5 -=.5 =.4 5.4 ?.4

4.05 7.75 5.?5 =.=5 =.:5 ;.05 :.75

( y⅊ ∟ y· )? Ù `⅊ 4.05 5;.?; ?.7? =.=1 7.:0 9.?? :.75 71.:

 

Cagde> c

 y· 3

 y⅊Ù  y⅊ Ù `⅊ ∕ 3 ⅊ 5 f

9

;= ? 351.5 ↟ · y 351.5 (5? Ù 5 ) +( 5; Ù ; )+( 57 Ù ?)+ )+(( 51 Ù 1 )+( 50 Ù 0 )+ )+(( 59 Ù ? )+( 5: Ù 5 )3

 ∕ 3

 y· 3

?=

⅊ 5,?,;,7,1,0,9 ?=

Perdefze> c

?

s3

9

71.:

( y⅊∟ y· ) Ù ` ⅊ ↟ s 3   ∕ ∕ 3 3 ?

?

⅊ 5 f

⅊ 5,?,;,7,1,0,9

?=

3?.?4 ↟ ·s 3?.?4?

?=

Gasvdekdûf Aståfger>

s3 ∞ ?.?4 ?.?4 35.15

Kha`kdafta ga Perdekdûf>

5.15  s Ù 5== 35= ↟k .v 35= % k v 3  Ù 5==3 51.5  y·   ⋁

_pt> Ab kha`kdafta ga verdekdûf as gab 5=% sdafgh cafhr eb 51%, phr bh tefth, as jhchiäfae. ;. Gege be sdiudafta sdiudafta cuastre> cuastre> 55, 50, 50, ;?, ?5, ?0, 10, 55, 55, 51, 50, ?5, ;?, ;?, 5?, ;?, ;;, 7?, 70, 70, ?5, 70, 5?, 55, ;?, ;?, ?0, ?5, 70, 5;, 51, 70, 5;, ?0, 70. Kebkuber bes cagdges ga gdsparsdûf y ¸Be gdstrdoukdûf as jhchiäfae8

 BD ∟ B[

 

¸

`⅊

 

55 9 1 0 5 ;=

¸ ¸ ¸

\ 79 ∟10 S Whteb

 

y 51.1 ?7.1 ;;.1 7?.1 15.1

( y ˔⅊ ∟ y· ) -55.9 -?.9 0.; 51.; ?7.;

 

( y⅊∟ y· )?

( y⅊∟ y· )? Ù `⅊

5;0.:4 9.?4 ;4.04 ?;7.=4 14=.74

51=1.94 15.=; 54:.71 57=7.17 14=.74 ;91=.;

Cagde> c

 y· 3

 y⅊  y⅊Ù Ù `⅊ ∕ 3 ⅊ 5

1

 y· 3

f

 ∕

⅊ 3 5,?,;,7,1 ;=

( 55+ ?= ) ?

∙55+

 ( ?= + ?4 ) ?

∙9 +

 ( ?4+ ;: ) ?

∙1 +

 ( ;: + 79 ) ?

 (79 + 10 ) :50 ↟ ·  y 3?9.? ∙53 ∙0 + ?

;=

 

Perdefze> c

?

s3

9

( y⅊ ∟ y· ) Ù ` ⅊ ↟ s 3   ∕ ∕ 3 3 ?

?

⅊ 5,?,;,7,1,0,9

⅊ 5 f∟5

;91=.; ?4

35?4.;? ↟ ·s 35?4.;??

;= ∟ 5

Gasvdekdûf Aståfger>

s3 ∞ 5?4.;? 5?4.;?3 55.;9

Kha`kdafta ga Perdekdûf>

55.;9  s Ù 5== 375.:= ↟ k . v 3 75.:=% k v 3  Ù 5==3 ?9.?  y·   ⋁

_pt> Ab kha`kdafta ga verdekdûf as gab 75.:=% sdafgh ceyhr eb 51%, phr bh tefth, fh as jhchiäfae. 7. Ghs nuieghras nuieghras ga oesla oeslatt ga aqudphs gdaraftas gdaraftas nuierhf nuierhf 1 perghs, perghs, ga bes kuebas kuebas sus efhtekdhfas efhtekdhfas phr pergh pergh uarhf> uarhf>

Nuieghr E Nuieghr O

51 ?=

57 ?;

59 1

51 9

59 ?1

¸Kuåb ga bhs ? nuieghras ua raiuber sus efhtekdhfas af bhs perghs8 NQIEGH_ ‒E–

⅊

 

x⅊

( x ˔⅊ ∟ x · )

 

 

5 ? ; 7

51 57 59 51

-=.0 -5.0 5.7 -=.0

=.;0 ?.10 5.40 =.;0

1 Whteb

59 9:

5.7

5.40 9.?

Cagde

Perdefze f

f

 x· 3

 x⅊ ∕ 3

?

s3

1

 ∕ 3

¸¸ ∕ 3

⅊ 5 f∟5

⅊ 5 f

 x· 3

( x⅊∟ x· )?

9:3

⅊ 5,?,;,7,1

9: 1

1

351.0 ↟ x· 351.0

?

s3

⅊ 5,?,;,7,1

9.?3

9.? 7

3 5.: ↟ s?35.: ?

1∟ 5

1

Gasvdekdûf Aståfger

s3 ∞ 5.: 5.: 35.;7

 ∕ 3

Kha`kdafta ga Perdekdûf

5.;7  s Ù 5== ↟k .v 3 :.14% k v 3  Ù 5== 3 51.0  x·   ⋁

 

_pt> Ab kha`kdafta ga verdekdûf as gab :.14% sdafgh cafhr eb 51%, phr bh tefth, as jhchiäfae. NQIEGH_ ‒O–

⅊

 

5 ? ; 7 1 Whteb

x⅊

( x ˔⅊ ∟ x · )

 

?= ?; 1 9 ?1 :=

( x⅊∟ x· )?

 

7 9 -55 -4 4

50 74 5?5 :5 :5 ;7:

Cagde

Perdefze f

f

 x· 3

 x⅊ ∕ 3

?

s3

1

 x· 3

 ∕ 3

¸¸ ∕ 3

⅊ 5 f∟5

⅊ 5 f

: =3

⅊ 5,?,;,7,1

:= 1

1

35 0 ↟ x· 35 0

?

s3

 ∕ 3

⅊ 5,?,;,7,1

;7:3

;7: 7

3: 9 ↟ s ?3: 9?

1∟ 5

1

Gasvdekdûf Aståfger

s3 ∞ : 9 34.;;

Kha`kdafta ga Perdekdûf

4.;;  s Ù 5== ↟k . v 31:.;5% k v 3  Ù 5== 3 50  x·   ⋁

_pt> Ab kha`kdafta ga verdekdûf as gab 1:.;5% sdafgh ceyhr eb 51%, phr bh tefth, as jatarhiäfae.

NQIEGH_ ‒E–

 x· 351.0 ? s 35.:? s3 5.;7 k . v 3:. :.14% 14% 2 51 %

NQIEGH_ ‒O–

 x· 350 ? s 3 :9 s3 4.;; k . v 31:.;5%6 51 %

_pt> Ga ekuargh eb kuegrh khcperevh, ab nuieghr ‒O– ua qudaf jdzh raiuber efhtekdhfas af bhs perghs ga oeslat, ye qua su K.P ua supardhr eb 51% sdafth asta jatarhiäfah.