Abstract. Co-addition of blank-field Faint Images of the Radio Sky at Twenty-centimeters (FIRST) data at the location of over 8000 quasi-stellar objects (QSOs) in the 2QZ survey has yielded statistical detections of radio quiet QSOs with median flux levels of 20-40 μJy. We show that the total radio flux of radio-quiet QSOs in the 2QZ is consistent with a smooth extrapolation of the 2QZ radio-loud QSO number flux distribution based on the slope of the relation flattening near the FIRST flux limit. However, we are unable to distinguish a smooth extrapolation of the luminosity function to faint levels from a bimodal luminosity function with a break close to or below the FIRST radio detection limit. We also demonstrate that the redshift dependence of the median radio-to-optical spectral index αRO for these radio-quiet QSOs is consistent with that obtained for individual radio-loud 2QZ QSOs detected by FIRST.