Cumulative mass distributions of sink particles (black crosses) and fitted integrated power laws (Eq. (16), green lines) and power laws with exponential cutoff (Eq. (19), red lines) at t = 40 P_K for the two simulations with the largest numbers of sink particles: the one with the largest box dimensions, run_0.8_320, (left panel) and the one with the middle box dimensions and the higher resolution, run_0.4_640 (right panel). Standard deviations of the actual N_>/N_tot (black crosses) from the fitted N_>/N_tot are given in the legends. The standard deviations for the integrated power laws are up to twice as large as those for the exponentially tapered power laws. In addition, it can be seen that the shallower exponential cutoffs fit the actual cutoffs more accurately than the steeper cutoffs of the integrated power laws and better replicate the smooth change of the slope of the mass distributions. We thus find the power laws with exponential tapering to represent the mass distributions better than the integrated power laws.