Yes this can be done. To make the standard deviation of each random variable a stand-alone function, we can define a function that takes in a sequence of random variables and returns the sum of their squared standard deviations. This is an example in Julia : 

function sum_squared_std_devs(X)
    n = length(X)
    s = 0
    for i in 1:n
        s += std(X[i])^2
    end
    return s
end

The above function takes in a sequence of random variables 'X', computes the sample size 'n', initializes a variable 's' to zero, and then iterates over the elements of 'X', computing the standard deviation of each element and adding its squared value to 's'. Finally, the function returns the value of 's'. You can use this function to compute the sum of the squared standard deviations for any sequence for any sequence of random variables in Julia. Would you like to know more?
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