Time dependence of the X-ray observables of the selected clusters. Measured values are shown as a function of redshift (black points). The full lines plot the value of the unscattered observable below which a given fraction of the selected sample is contained. From top to bottom, the red, green, and blue lines show the 85%, 50%, and 15% levels (μ_Z), respectively. The shaded green region encloses the 68.3% confidence region around μ_Z(z) due to uncertainties on the parameters. Top panel: time dependence of the temperatures as inferred from the l − t relation. Temperatures are in units of keV. Middle panel: time dependence of the distribution of temperatures of the selected clusters as inferred from the m_g − t relation. Bottom panel: time dependence of the distribution of gas masses of the selected clusters as inferred from the l − m_g relation. Masses are in units of 10¹⁴ M_⊙.