Dependence of the sample mean (blue lines) and relative scatter (red lines) on the chosen order for the halo mass (upper left-hand panel), the redshift (lower left-hand panel), the alignment | cos(θ)| (upper right-hand panel), and the scaled axis ratio, a_sc (lower right-hand panel). The red arrows denote constant shifts in the standard deviation in order to enhance the readability. The results are based on the samples presented in , comprising 2000 sampled values in the redshift range of 0.5 ≤ z ≤ 1.0 on the full sky.