  We compare the statistics of parity even and odd multipoles of the cosmic
microwave background (CMB) sky from PLANCK full mission temperature
measurements. An excess power in odd multipoles compared to even multipoles has
previously been found on large angular scales. Motivated by this apparent
parity asymmetry, we evaluate directional statistics associated with even
compared to odd multipoles, along with their significances. Primary tools are
the \emph{Power Tensor} and \emph{Alignment Tensor} statistics. We limit our
analysis to the first sixty multipoles i.e., $l=[2,61]$. We find no evidence
for statistically unusual alignments of even parity multipoles. More than one
independent statistic finds evidence for alignments of anisotropy axes of odd
multipoles, with a significance equivalent to $\sim 2 \sigma$ or more. The
robustness of alignment axes is tested by making galactic cuts and varying the
multipole range. Very interestingly, the region spanned by the (a)symmetry axes
is found to broadly contain other parity (a)symmetry axes previously observed
in the literature.
