Distribution of clusters (black) as a function of redshift (top panel), count rate (middle panel), and richness (bottom panel) compared with the best fitting model prediction of the same quantities (blue) and the contribution to the total model from clusters (orange), AGN contamination (green), and RS contamination (purple). The black solid lines represent the data distribution, the shaded grey area the uncertainty due to measurement errors, and the black dotted lines indicate the Poisson uncertainty on the number of objects in each bin. In all figures, the bottom panel shows the Poisson Pearson residuals and the 2σ contours of the best-fit model.