var=sum((X(i)-mean)^2)/(N-1)
sum((X(i)-mean)^2)
=sum(X(i)^2 - 2*X(i)*mean + mean^2)
=sum(X(i)^2) - 2*sum(X(i))*mean + N*mean^2
because sum(X(i)) = N*mean, so we get
=sum(X(i)^2) - 2*N*mean*mean + N*mean^2
=sum(X(i)^2) - N*mean^2
then std = sqrt((sum(X(i)^2) - N*mean^2)/(N-1))
calculate standard deviation single pass
最新推荐文章于 2025-01-23 23:46:20 发布