Sculptor membership score, z. (a) Histogram of log₁₀(z) for all sources in the Sculptor field, where Sculptor members are expected to have z < z_lim = 14.2. The Distribution of log₁₀(z) is shown as a function of: (b) (ϖ−⟨ϖ⟩_scl)/σ_ϖ; (c) (μ_α* − ⟨μ_α*⟩_scl)/σ_μα*; and (d) (μ_δ − ⟨μ_δ⟩_scl)/σ_μδ. The orange line always indicates z_lim = 14.2, which is the equivalent of 3σ for a 1D normal distribution, or the 99.9% tile equivalent of the theoretical distribution of Sculptor members.