ejercicio 6

1. >datos=c(200,190,150,148,152,158,100,174,187,188,160,178,153,151,128,137,174,199,103,168,188,127,150,130,175)
> datos
[1] 200 190 150 148 152 158 100 174 187 188 160 178 153 151 128 137 174 199 103
[20] 168 188 127 150 130 175
> Rango=max(datos)-min(datos)
> Rango
[1] 100
> min(datos)
[1] 100
> max(datos)
[1] 200
> m=round(1+3.3*log10(25))
> m
[1] 6
> C=Rango/m
> C
[1] 16.66667
> C=17
> intervalos=cut(datos, breaks=c(99,116,133,150,167,184,201))
> intervalos
[1] (184,201] (184,201] (133,150] (133,150] (150,167] (150,167] (99,116]
[8] (167,184] (184,201] (184,201] (150,167] (167,184] (150,167] (150,167]
[15] (116,133] (133,150] (167,184] (184,201] (99,116] (167,184] (184,201]
[22] (116,133] (133,150] (116,133] (167,184]
Levels: (99,116] (116,133] (133,150] (150,167] (167,184] (184,201]
> f=table(intervalos)
> f
intervalos
(99,116] (116,133] (133,150] (150,167] (167,184] (184,201]
2 3 4 5 5 6
> n=sum(f)
> n
[1] 25
> h=(f/n)*100
> h
intervalos
(99,116] (116,133] (133,150] (150,167] (167,184] (184,201]
8 12 16 20 20 24
> F=cumsum(f)
> F
(99,116] (116,133] (133,150] (150,167] (167,184] (184,201]
2 5 9 14 19 25
> H=cumsum(h)
> H
(99,116] (116,133] (133,150] (150,167] (167,184] (184,201]
8 20 36 56 76 100

2. > cbind(f,h,F,H)
f h F H
(99,116] 2 8 2 8
(116,133] 3 12 5 20
(133,150] 4 16 9 36
(150,167] 5 20 14 56
(167,184] 5 20 19 76
(184,201] 6 24 25 100
> LimSup=c(116,133,150,167,184,201)
> LimInf=c(99,116,133,150,167,184)
> Marca=(LimSup+LimInf)/2
> Marca
[1] 107.5 124.5 141.5 158.5 175.5 192.5
> cbind(f,Marca,h,F,H)
F Marca h F H
(99,116] 2 107.5 8 2 8
(116,133] 3 124.5 12 5 20
(133,150] 4 141.5 16 9 36
(150,167] 5 158.5 20 14 56
(167,184] 5 175.5 20 19 76
(184,201] 6 192.5 24 25 100
> x=Marca*f
> x
intervalos
(99,116] (116,133] (133,150] (150,167] (167,184] (184,201]
215.0 373.5 566.0 792.5 877.5 1155.0
> Media=sum(x)/n
> Media
[1] 159.18
> hist(datos, col = "green", border = 1, main = "Ahorros Voluntarios", xlab = "Ahorro" , ylab = "frecuencia")
> plot(LimInf, F) lines(c(min(LimInf), LimInf,max(LimSup)),c(0,F,0),type="l")