Results of testing the impact of an asymmetric scatter for the M_HI − M_⋆ relation. Top: M_HI distributions (from which we have subtracted the median) in different stellar mass bins: 8.9 < log₁₀(M_⋆/M_⊙) < 9.1 (solid green), 9.4 < log₁₀(M_⋆/M_⊙) < 9.6 (dashed orange), 9.9 < log₁₀(M_⋆/M_⊙) < 10.1 (dotted-dashed blue), and 10.4 < log₁₀(M_⋆/M_⊙) < 10.5 (dotted purple). In dashed gray we show a lognormal random distribution obtained by assuming σ = 0.45, which is found to approximate all the M_HI distributions well.