Scale-free median SB profiles of quiescent (top) and star-forming (bottom) galaxies. Galaxies are binned by gas fraction f_gas (left), stellar mass M_* (center), and emissivity weighted temperature k_BT (right). Colors indicate the central value of each bin for the respective quantity. We include SB profiles for NGC 6482 (Buote 2017) and Mrk 1216 (Buote & Barth 2018) in the QU panels and measurements of the extended emission in SF galaxies from Bogdán et al. (2013, 2015), Li et al. (2017) for the SF panels. The violin plots indicate the distribution of ξ (Eq. (8)) within each quantity bin. The horizontal extent of each violin indicates the minimum and maximum value of ξ within the respective bin. The central tick indicates the mean value of ξ. The height of each violin is proportional to the number density of ξ in the bin. The black dashed line is the median profile of the QU and SF sub-sample respectively.