Properties of the gas as a function of the scatter in the scaling relation L₅₀₀ − M₅₀₀ by Lovisari et al. (2015) in one halo mass bin (10¹³ − 10^13.5 M_⊙). From the top to bottom panels, we show temperature, metallicity, and gas fraction (all mass-weighted) measured within 0.15 R₅₀₀ of each halo. The black line denotes the running median for each quantity. We also report the Spearman coefficient in the plot.