General properties of the cluster sample used in this work (186 clusters). Upper left: X-ray redshift measured in this work compared to the optical redshift from the literature. Lower left: distribution of the redshift of the clusters in our sample. Upper right: distribution of the emission-weighted (spectroscopic-like) temperature in the radial range [0.1, 0.4]r₅₀₀ across the sample. Lower right: distribution of M₅₀₀, estimated according to Eq. (3), plotted versus redshift.