Top left: scaled density profiles compared to the 1σ dispersion of the rexcess sample (Croston et al. 2008). Top right: scaled entropy profiles compared to the 1σ dispersion of the rexcess sample (Pratt et al. 2010); the dashed line is the baseline gravitational entropy profile of Voit et al. (2005). Bottom left: scaled pressure profiles (points: X-ray, envelopes: SZ) compared to the universal pressure profile of Arnaud et al. (2010) and the mean stacked profile of Planck Collaboration Int. V (2013). f(M) is a (small) correction for the mass dependence in the pressure profile shape (see Arnaud et al. 2010). Bottom right: scaled hydrostatic mass profiles compared to an NFW profile with c = 3.5, for illustration only. Density, entropy, pressure, and mass profiles are renormalised by E(z)^-2, K₅₀₀, P₅₀₀, and , respectively.