Bolometric Luminosities (left), black hole masses (middle), and Eddington ratios (right) distributions for all the quasars at high-z (literature + enlarged XQR-30) in green, and for a bolometric luminosity matched sample at low-z. Mean values for the quantities, both at low- and high-redshift, are shown with dashed lines, in grey and green, respectively. Top row: all the luminosity distribution of high-z quasars. The second to the last rows: samples divided by luminosity ranges, each containing the same number of high-z quasars, from high to medium to low luminosities. See Sect. 4.3 for further details on the samples compilation and matching. The Eddington ratio distribution at high-z is shifted to marginally higher values than at lower z, for the entire luminosity case and for each luminosity range. We note that with decreasing luminosity, the separation between the high- and low-redshift sample is increasing, albeit with larger dispersions.