Distribution of the M parameter. Left: comparison between the CHEX-MATE dynamical state obtained from the visual classification and from the M parameter. The colours represent the dynamical classification obtained on the basis of the M parameter (blue for relaxed, red for disturbed, and green for mixed clusters). Right: distribution of the simulated sample in the χ − M space. The colours represent the relaxed (blue), disturbed (red), and mixed (green) class defined on the basis of χ (see Sect. 8.4.1).