  Mana is a measure of the amount of non-Clifford resources required to create
a state; the mana of a mixed state on $\ell$ qudits bounded by $\le \frac 1 2
(\ell \ln d - S_2)$; $S_2$ the state's second Renyi entropy. We compute the
mana of Haar-random pure and mixed states and find that the mana is nearly
logarithmic in Hilbert space dimension: that is, extensive in number of qudits
and logarithmic in qudit dimension. In particular, the average mana of states
with less-than-maximal entropy falls short of that maximum by $\ln \pi/2$. We
then connect this result to recent work on near-Clifford approximate
$t$-designs; in doing so we point out that mana is a useful measure of
non-Clifford resources precisely because it is not differentiable.
