  The centrality dependence of the charged-particle pseudorapidity density
measured with ALICE in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ over a broad
pseudorapidity range is presented. This Letter extends the previous results
reported by ALICE to more peripheral collisions. No strong change of the
charged-particle pseudorapidity density distributions with centrality is
observed, and when normalised to the number of participating nucleons in the
collisions, the evolution over pseudorapidity with centrality is likewise
small. The broad pseudorapidity range allows precise estimates of the total
number of produced charged particles which we find to range from $162\pm22$
(syst.) to $17170\pm770$ (syst.) in 80-90% and 0-5 central collisions,
respectively. The total charged-particle multiplicity is seen to approximately
scale with the number of participating nucleons in the collision. This suggests
that hard contributions to the charged-particle multiplicity are limited. The
results are compared to models which describe
$\mbox{d}N_{\mbox{ch}}/\mbox{d}\eta$ at mid-rapidity in the most central Pb-Pb
collisions and it is found that these models do not capture all features of the
distributions.
