Comparison between mean (solid red line), median (solid cyan line), and mode (dashed orange line) gas density profiles in two galaxy clusters (corresponding to the two panels). In addition to the standard mean profiles, mean profiles with masked substructures are shown by the dashed red lines. Light-grey lines indicate the individual directional profiles, while dotted cyan lines represent the (16−84)% percentiles at each r to give a better idea of the width of the density distribution. Dotted dark-blue lines indicate the thresholds for the substructure cleaning algorithm from which the dashed red line is obtained. The insets provide a zoomed-in view of two regions to highlight the differences among the profiles. The blue-filled line at the right of the right-hand panel inset depicts the density distribution at r ∼ 3R_vir, highlighting its bimodality.