Deviations from the average scaling with radius. Left: redshift-mass distribution of the SZE-selected sample used in this work. The shaded regions indicate cuts for two sub-samples: a large redshift range at nearly fixed mass, and a large mass range at nearly fixed redshift. Middle: degree to which the radial ICM density profile evolves as a function of redshift at nearly fixed mass. The dotted line shows the self-similar expectation (α_z = 2). The dashed line shows the best-fitting evolution, which varies from slower than self-similar in the centre (α_z ∼ 0.3) to faster than self-similar around R₅₀₀ (α_z ∼ 2.4). Envelopes show the 1 and 2σ uncertainties. Right: degree to which the radial ICM density profile scales with mass at nearly fixed redshift. The dotted line shows the self-similar expectation (α_z = 0). The dashed line shows the best-fitting mass dependence of α_z = 0.22. The scaled density at nearly fixed redshift does not depend on radius.