Same as Fig. 3 for the entropy profiles rescaled by the self-similar quantity K₅₀₀ (Eq. (12)). The filled circles show the measurements obtained from the X-ray spectroscopic temperature as , whereas the filled squares indicate the data points obtained by combining the SZ pressure with the gas density as . The solid red curves in the bottom panels indicate the best fit to the entire population with the functional form presented in Eq. (13), whereas the solid black line shows the prediction of pure gravitational collapse (Voit et al. 2005).