Redshift distribution of the sample as a function of the absolute i-band magnitude M_i. The gray-scale squares show the Lyke et al. (2020) data, binned over small bins in z and M_i. The pink squares identify the sample used in this work. Upper panel: normalized redshift distribution. The pink histogram shows the corrected redshift adopted in this paper (see Sect. 3.1). Right panel: normalized absolute i-band magnitude distributions for both Lyke et al. (2020) and our sample.