  Statistical complexity and Fisher-Shannon information are calculated in a
problem of quantum scattering, namely the Klein tunneling across a potential
barrier in graphene. The treatment of electron wave functions as masless Dirac
fermions allows us to compute these statistical measures. The comparison of
these magnitudes with the transmission coefficient through the barrier is
performed. We show that these statistical measures take their minimum values in
the situations of total transparency through the barrier, a phenomenon highly
anisotropic for the Klein tunneling in graphene.
