Dependence of the characteristic DMH mass on the L_X threshold used to divide the AGN sample. Each symbol type corresponds to a different luminosity cut applied to split them. Because the sSFR bins are defined by quantiles, the statistical uncertainties are of a similar order across bins; the highest sSFR bin is open-ended and therefore represents a broader range of star-formation activity. The sample is split into ‘low’ and ‘high’ L_X sub-samples: log L_X = 43.5 (squares), 44.0 (circles), and 44.3 (triangles). For each luminosity threshold, two data points are shown, representing the low-L_X and high-L_X sub-samples defined by that cut. The horizontal position of each point corresponds to the median X-ray luminosity of the respective sub-sample. Error bars indicate the 1σ uncertainties on the derived DMH mass.