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estadistica
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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