Top: median (solid lines) and 16th–84th percentile region (shaded area) of the satellite velocity dispersion as a function of halo mass for a number density of n_den = 0.0316 h³ Mpc⁻³. Results from the MTNG-DMO and MTNG simulations are shown in black and orange, respectively. Bottom: median (solid lines) and 16th–84th percentile region (shaded area) of the ratio of velocity dispersions between matched haloes in the MTNG and MTNG-DMO simulations, for the three number densities used in this work (as labelled).