Estadistica
Enviado por j500r • 1 de Agosto de 2013 • 290 Palabras (2 Páginas) • 388 Visitas
E S T A D I S T I C A B A S I C A
Medidas de dispersión, Actividad 4,5 y 6.
Recorrido, Varianza y Desviación Típica.
Datos no agrupados.
816 810 856 888 833 839 853 837 881 873 889 836 815 860 830 888 830844 830 831 840 844 840 858 810 888 883 835 884 849 856 888 833 869 835 835 884 849 844 840 858 853 837 881 873 889 836 815
Recorrido
Re = max xi – max xi 889- 810= 79.
Varianza
Donde media es igual a
(810x2)+(815x2)+816+(830x3)+831+(833x2)+(835x3)+(836x2)+(837x2)+839+ (840x3)+(844x3)+(849x2)+(853x2)+(856x2)+(858x2)+860+869+(873x2)+ (881x2)+883+(884x2)+(888x4)+(889x2) / 48 = 40 845 / 48 = 850.9375
= (816-850.9375)2+(810-850.9375)2+( 856-850.9375)2+ (888-850.9375)2+(833-850.9375)2+(839-850.9375)2+(853-850.9375)2+(837-850.9375)2+ (881-850.9375)2+(873-850.9375)2+(889-850.9375)2+(836-850.9375)2+(815-850.9375)2+ (860-850.9375)2+(830-850.9375)2+(888-850.9375)2+(830-850.9375)2+(844-850.9375)2+ (830-850.9375)2+(831-850.9375)2+(840-850.9375)2+(844-850.9375)2+(840-850.9375)2+ (858-850.9375)2+(810-850.9375)2+(888-850.9375)2+(883-850.9375)2+(835-850.9375)2+ (884-850.9375)2+(849-850.9375)2+(856-850.9375)2+(888-850.9375)2+(833-850.9375)2+ (869-850.9375)2+(835-850.9375)2+(835-850.9375)2+(884-850.9375)2+(849-850.9375)2+ (844-850.9375)2+(840-850.9375)2+(858-850.9375)2+(853-850.9375)2+(837-850.9375)2+ (881-850.9375)2+(873-850.9375)2+(889-850.9375)2+(836-850.9375)2+(815-850.9375)2 =
26716.76 / 48 = 556.599
Desviación estándar
= 556.599 = 23.59
Datos agrupados
Varianza
Donde la media es igual a 4067.5+4977+9212.5+4227.5+3414+2584.5+2608.5+1755+7969.5 / 48 = 850.33
Mc i fi Mc-µ (Mc-µ)2 (Mc-µ)2 . fi
813.5 810-817 5 -36.83 1356.45 6782.24
821.5 818-825 0 -28.83 831.17 0
829.5 826-833 6 -20.83 433.89 2603.33
837.5 834-841 11 -12.83 164.61 1810.69
845.5 842-849 5 -4.83 23.33 116.64
853.5 850-857 4 3.17 10.05 40.19
861.5 858-865 3 11.17 124.77 374.31
869.5 866-873 3 19.17 367.49 1102.47
877.5 874-881 2 27.17 738.21 1476.42
885.5 882-889 9 35.17 1236.93 11132.36
Total 25438.65
= 25438.65 / 48 = 529.97
Desviación estándar
= 529.97 = 23.02
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