The cumulative distribution function (CDF) for the ratio of the total number of cells, N_c, to the value of the effective flux-averaged, $N_{\nu }^{\mathrm{eff}}$, at the reference frequencies used for the millimiter (2 × 10¹¹ Hz), optical (5 × 10¹⁴ Hz), and X-ray (1 × 10¹⁸ Hz) frequencies, shown respectively in the left, center, and right panels. Different color lines mark different values of q as detailed in the legend. The top panels refer to the full PL MC parameter space, the bottom panels to the best sample parameter space. The vertical dashed line marks $N_c/N_{\nu }^{\mathrm{eff}}=10$.