Effect of further selection on the satellites misclassified as central galaxies on the X-ray surface brightness profile. The total population of satellites misclassified as centrals (solid green line) is divided into satellites within 15″ of a central (green dotted line) and satellites farther than 15″ from a central (grey dotted line) in projection on the sky. We show that satellites (misclassified as centrals) within 15″ of a central galaxy have a steeper profile than the case where we consider all the satellites, thereby reducing the overall flattening of the X-ray surface brightness profile due to misclassified centrals. Contrarily, the satellites farther than 15″ from a central have a constant surface brightness profile. The central galaxy profile is shown in purple. The vertical dashed line at 369 kpc is the mean R_500c of the 680 galaxies used in the M31 stellar mass bin, and the shaded area corresponds to the minimum and maximum R_500c value of the central galaxies in the M31-mass bin. The shaded uncertainties on the profiles represent the variance obtained by bootstrapping.