Top: distance distribution of the SDSS spectroscopic legacy data in comoving distances assuming a concordance cosmology (Ω_m = 0.28, Ω_Λ = 0.72, h = 0.7). The dashed line is a fit to this distribution assuming the galaxies follow a Schechter luminosity function, with an apparent magnitude limit of r < 17.7 (see Eq. (16)). Bottom: the corresponding inverse weight as derived from the luminosity function. A 10% completeness level (corresponding to R = 515   Mpc, equivalent to z = 0.123) is chosen to remove high redshift outliers.