Comparison of the redshift evolution scaled average eROSITA entropy measurements (yellow circles) with the predictions of three simulations (Magneticum, MillenniumTNG, and OWL simulations) at 0.15r_5ooc (top left), r_25ooc (top right), and r_5ooc (bottom) as a function of characteristic temperature, T(r < r_500c). Gray crosses represent the average entropy measurements of the binned groups, and the blue error bars represent the overall error budget of the average measurements resulting from the statistical and systematic uncertainties (see Sect. 4 for the details of the accounted systematics). The solid lines represent the predictions of simulations at the group regime (5 × 10¹² < M_500c < 10¹⁴ M_⊙), the dashed lines represent the predictions at the low-mass cluster regime (10¹⁴ < M_50oc < 3 × 10¹⁴ M_⊙) and the shaded regions represent the scatter of the measurements.