Scatter plot of the input halo mass versus the output WL mass from one realization of the synthetic shear profiles. Color coded by the value of the mis-centering distribution for that specific halos’ mis-centering, and as solid black lines, the mis-centering-distribution-weighted scaling between WL and halo mass, which results in an estimate for the WL bias. The scatter around this relation results in the WL scatter. Generally speaking, extreme outliers also have highly improbable mis-centering.