>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

> 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")