Comparison of the mean mass-weighted temperature as a function of halo masses for a sample of groups with and without X-ray AGN sources within their R₅₀₀. Grey points represent the individual mass-weighted temperatures for each source. The blue line indicates the mean temperature for the group without point sources from the mock catalog within their R₅₀₀, while the red line shows the mean for groups containing such sources. Shaded areas show the standard deviation of the mean values. All sources, along with their masses and temperatures, are derived from the MAGNETICUM lightcone.