  The observed scaling relations between supermassive black hole masses and
their host galaxy properties indicate that supermassive black holes influence
the evolution of galaxies. However, the scaling relations may be affected by
selection biases. We propose to measure black hole masses in a mass-limited
galaxy sample including all non-detections to inprove constraints on galaxy
mass - black hole mass scaling relations and test for selection bias. We use
high spatial resolution spectroscopy from the Keck and Gemini telescopes, and
the Jeans Anisotropic Modelling method to measure black hole masses in early
type galaxies from the Virgo Cluster. We present four new black hole masses and
one upper limit in our mass-selected sample of galaxies of galaxy mass
(1.0-3.2) x $10^{10} M_\odot$. This brings the total measured to 11 galaxies
out of a full sample of 18 galaxies, allowing us to constrain scaling
relations. We calculate a lower limit for the average black hole mass in our
sample of 3.7 x $10^{7} M_\odot$. This is at an average galaxy stellar mass of
(1.81 +/- 0.14) x $10^{10} M_\odot $ and an average bulge mass of (1.31 +/-
0.15) x $10^{10} M_\odot$. This lower limit shows that black hole masses in
early type galaxies are not strongly affected by selection biases.
