Cumulative distributions of the flux-weighted average [O III] velocity dispersions for [O III] detections. The inset plots show the asymmetry distributions for [O III] profiles with multiple kinematic components in every group. (a): Low redshift (0.02 < z < 0.4) radio AGN sample (PS + NPS) and the control sample of optical AGN up to z ∼ 0.4 from Mullaney et al. (2013), described in Appendix B. (b): Low redshift PS, NPS sources and the control sample. (c): High redshift (0.4 < z < 0.8) PS and NPS sources.