MDFs of bright and faint stars in the same distance bins. Top: A2A RC stars from the field (l, b) = (0° , − 5° ) and the distance bin 6 to 8 kpc with the weights from Eq. (11) applied. Bottom: APOGEE stars from the field (l, b) = (0° , − 2° ) and the distance bin 6 to 8 kpc with the weights from Eqs. (13) and (14) applied. The number of stars in each MDF is given in the legend of each plot. The means of each histogram are given by the triangular markers.