Each panel shows the histogram of a different distance measure between 905 radio galaxies with ϕ > 1′ and their optical host. The grey, dark grey, and black lines show empirical fits to these histograms for Rayleigh, normal, and lognormal distributions respectively. The tails of the histograms are long; for visualisation purposes we only plot the r-axis up to 0.05, 0.20, and 0.20.