Correlation between the mean mass of member galaxies of G&C and the X-ray luminosity of the host G&C (blue dots) in the four redshift bins where the stellar mass function was computed. The mean value of the y-axis quantitywas computed in equally populated bins of X-ray luminosity (three at z = 0.1−0.2, two in the other redshift intervals) and is shown with red diamonds. Least-squares fits are shown with dashed lines in the figure and the least-squares fit parameters are shown in the legend.