2.3 Simulacion estadistica de la desviacion tipica del Ejercicio 1.2

 x1 <- c(rep(15,2),rep(30,4),rep(40,10),rep(50,10),rep(60,3),rep(75,1));
 x2 <- (x1-40)/5;
ni<- table(x1);

n<-sum(ni)

s1 <-sd(x1)*sqrt((n-1)/n)

s1
[1] 12.52664

s2 <- sd(x2)*sqrt((n-1)/n)
s2
[1] 2.505328

s2*5
[1] 12.52664

x1 := Join[ConstantArray[15, 2], ConstantArray[30, 4], 
   ConstantArray[40, 10], ConstantArray[50, 10], ConstantArray[60, 3], 
   ConstantArray[75, 1]];
x2 := (x1-40)/5;
   
ni := Tally [x1];

n := Sum[ni[[i, 2]], {i, Length[ni]}];

s1:=StandardDeviation[x1]  Sqrt[(n - 1)/n];
s2:=StandardDeviation[x2]  Sqrt[(n - 1)/n];

N[s1]
N[s2]
N[s2 5]


12.5266
2.50533
12.5266