Cumulative distribution functions of the physical properties for the clumps with 84 GHz methanol masers and maser candidates. In panels (a) to (f) are plotted the cumulative distributions of the bolometric luminosity, the FWHM clump mass, the luminosity-to-mas s ratio, the dust temperature, the peak H₂ column density, and the mean H₂ FWHM volume density for 84 GHz methanol masers (orange lines) and maser candidates (purple lines), respectively. The vertical dashed lines in the corresponding colours depict the median values of the two samples. The p-values from the K-S tests are presented in each panel.