Histograms of the magnetic flux density inferred 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, model 1C is preferred by the observations, and the Stokes V is a two-lobed profile. The solid line represents the values of the magnetic flux density for those pixels where the magnetic field strength, inclination, and filling factor are not reliably retrieved. The dotted line displays the histogram for those pixels where the magnetic field vector, inclination, and azimuth are well constrained by the observations.