Histograms of the inferred field vector (strength, inclination, and azimuth) and the filling factor of the magnetic component using a model with one magnetic atmosphere embedded in a field-free volume. The histograms represent the inversions at those pixels where Stokes Q or U or V are above 4σ_n, the Stokes V is a two-lobed profile, and the field vector and filling factor are well constrained by the observed profiles.