mean | μ mode | β log(e^((2 μ)/β)) - μ standard deviation | (π β)/sqrt(3) variance | (π^2 β^2)/3 skewness | 0

e^((μ - x)/β)/(β (e^((μ - x)/β) + 1)^2)

P (X<=x) = 1/(e^((μ - x)/β) + 1)

10th | μ - 2.19722 β 25th | μ - 1.09861 β 50th | μ 75th | 1.09861 β + μ 90th | 2.19722 β + μ