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- stddev
- = sqrt(((v_1 - m)^2 + (v_2 - m)^2 + ... + (v_n - m)^2)/n)
- = sqrt(((v_1^2 - 2*m*v_1 + m^2) + (v_2^2 - 2*m*v_2 + m^2) + ... + (v_n^2 - 2*m*v_n + m^2))/n)
- = sqrt(((v_1^2 + v_2^2 + ... + v_n^2) + (-2*m*v_1 - 2*m*v_2 - ... - 2*m*v_n) + n*m^2)/n)
- = sqrt(((v_1^2 + v_2^2 + ... + v_n^2) - 2*m*(v_1 + v_2 + ... + v_n) + n*m^2)/n)
- = sqrt(((v_1^2 + v_2^2 + ... + v_n^2) - 2*(v_1 + v_2 + ... + v_n)/n*(v_1 + v_2 + ... + v_n) + n*((v_1 + v_2 + ... + v_n)/n)^2)/n)
- = sqrt(((v_1^2 + v_2^2 + ... + v_n^2) - 2*(v_1 + v_2 + ... + v_n)^2/n + (v_1 + v_2 + ... + v_n)^2/n)/n)
- = sqrt(((v_1^2 + v_2^2 + ... + v_n^2) - (v_1 + v_2 + ... + v_n)^2/n)/n)
- = sqrt((n*(v_1^2 + v_2^2 + ... + v_n^2) - (v_1 + v_2 + ... + v_n)^2)/n^2)
- = sqrt(n*(v_1^2 + v_2^2 + ... + v_n^2) - (v_1 + v_2 + ... + v_n)^2)/n
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