i have a little problem i have 10 standard deviation and 10 mean with normal distribution like this N(5,1) , N(10,3), N(8,2) N(6,1), N(10,3), N(7,2), N(4,1), N(10,3), N(9,2), N(8,1). if i search the mean of total mean in R the code is
c=cbind(c(5,10,8,6,10,7,4,10,9,8))
y=mean(c)
so how to calculate average of standard deviation, but this average doesnt like the formula average as always?
Not sure if I understand you correctly, but if you have a vector of standard deviations, you can also just calculate the mean.
So e.g.
my_sd = c(1.23, 4.53, 3.343)
mean(my_sd)
If your quesiton is about how to calculate a standard deviation, this can be done easily with the sd function.
Not sure what error appears in your console.
May it be because you lack a ) at the end of your cbind function?
As you can see below, I can calculate mean of c without issue.
> c <- cbind(c(5,10,8,6,10,7,4,10,9,8))
> y <- mean(c)
> y
[1] 7.7
I'm not sure what your objective is. But averaging the standard deviations obscures the relationships between the standard deviations and the associated means. For instance N(25, 2) and N(5, 5) would have much different summary statistics than N(25, 5) and N(5, 2). Even though the averages of the means and standard deviations would be the same. A better statistic could be the average of the Coeffficients of Variation of each of the distributions. So:
ms <- c(5,10,8,6,10,7,4,10,9,8)
sds <- c(1,3,2,1,3,2,1,3,2,1)
cvs <- sds/ms
[1] 0.2000000 0.3000000 0.2500000 0.1666667 0.3000000 0.2857143 0.2500000 0.3000000 0.2222222 0.1250000
meancvs <- mean(cvs)
[1] 0.2399603
