Ejemplo Estadística Descriptiva

Profesor: Patricio Videla Jiménez

Medidas de Resumen (Datos a granel)

16.9 16.4 13.4 15.9 13.9 15.2 21.3 17.4 19.3 15.8

15.7 12.6 19.8 14.0 11.3 16.2 11.8 22.3 21.4 16.6

10.2 18.3 18.8 14.7 12.5 19.5 12.1 17.8 11.2 16.8

12.5 11.6 12.3 11.5 13.0 13.6 16.9 13.6 12.8 13.5

11.1 18.8 15.6 17.9 20.5 14.6 12.6 14.4 20.4 12.9

Tendencia Central

[ ] [ ]cmXXi

i 384.1550

2.7699.125.132.107.159.16

50

1

50

1 50

1

==+++++== ∑=

K

( ) ( )[ ] [ ] [ ]cmXXM e 95.142.157.142

1

2

12625 =+=+=

Posición

( ) ( ) ( ) ( )[ ] [ ] [ ]cmXXXXP 6.126.126.122

1

2

1131275.12

100

1502525 =+=+===

+

( ) ( ) ( ) ( )[ ] [ ] [ ]cmXXXXP 85.179.178.172

1

2

1393825.38

100

1507575 =+=+===

+

Dispersión

[ ] [ ]2250

1

222 066.10384.155062.1232649

150

150

1cmXXS

i

i =⋅−=

⋅−−

= ∑=

[ ] [ ]cmcmS 173.3066.102 ==

[ ] [ ] −=== .2063.0384.15173.3 cmcmXSCV

Ejemplo Estadística Descriptiva

Profesor: Patricio Videla Jiménez

Medidas de Resumen (Datos Tabulados)

Diámetro [cm] iM in if iN iF

10.15-11.95 11.05 7 0.14 7 0.14

11.95-13.75 12.85 13 0.26 20 0.40

13.75-15.55 14.65 6 0.12 26 0.52

15.55-17.35 16.45 10 0.20 36 0.72

17.35-19.15 18.25 6 0.12 42 0.84

19.15-20.95 20.05 5 0.10 47 0.94

20.95-22.75 21.85 3 0.06 50 1.00

Total 50 1.00

Tendencia Central

[ ]cmMfXi

ii 442.1585.2106.085.1226.005.1114.07

1

=⋅++⋅+⋅=⋅=∑=

K

[ ]cmM e 25.158.16

202

50

75.13 =⋅

−+=

( ) ( ) [ ]cmM o 78.128.1613713

71395.11 =⋅

−+−−+=

Posición

[ ]cmP 71.128.113

7100

2550

95.1125 =⋅

−⋅

+=

[ ]cmP 8.178.16

36100

7550

35.1775 =⋅

−⋅

+=

Dispersión

[ ] [ ]227

1

222 469.10442.1550725.1243549

150

150

1cmXMnS

i

ii =⋅−=

⋅−⋅−

= ∑=

[ ] [ ]cmcmS 236.3469.102 ==

[ ] [ ] −=== .2096.0442.15236.3 cmcmXSCV