Histograms of the maximum normalized residual |δ| from fitting our model (green) and the β-model (blue) to all clusters. The left-hand panel considers the values of |δ| over the entire radial range of each cluster (20 kpc < r < r₅₀₀), while the right-hand panels show the distributions using truncated ranges: the central region (top), 20 kpc < r < 400 kpc, and the outer region (bottom), 400 kpc < r < r₅₀₀.