Comparisons of binaries and single stars. (a) Histograms of the RMS. The blue and orange histograms show the single stars and binaries, respectively. The number of single stars is 5183. In the following panels, we only show the single stars with large RMS, whose number is 3272. (b) Comparison of the relative lifetimes of starspots on single stars and binaries. The top panel shows the relative lifetimes. The gray squares and green dots represent single stars and binaries, respectively. The blue and red bands show the 1σ regions for single stars and binaries, respectively. The blue and red lines show the mean τ/P_rot of single stars and binaries, respectively. The bottom panel shows the differences in mean τ/P_rot between binaries and single stars. The vertical axis represents the differences normalized by the relative lifetime, which is (Δτ/P_rot)/(τ/P_rot) (i.e., Δτ/τ). (c) β₂₁ of single sources. The blue, orange, green, and red histograms show the total sample, the hot subsample (T_eff > 5000 and P_rot < 10 days), the cool subsample (T_eff ≤ 5000 K and P_rot < 10 days), and the fast-rotating subsample (P_rot < 3 days), respectively.