Distributions of B (left), γ (middle), and αB (right) returned from the inversions under S1 at GREGOR resolutions (V3). The inversions were run without the addition of noise (red), and then repeated with noise levels of 8 × 10⁻⁴I_c (blue) and 3 × 10⁻⁴I_c added (grey). The histograms of the inversions with noise are shown for pixels with maximum amplitude in at least one Stokes vector > 3σ_n. The lower row shows the difference between the values returned from inversions of the noiseless case and the values returned when noise is added. The percentages in all histograms are weighted with respect to the total number of pixels, i.e. including those with no polarization.