  We show that the set of families of smooth well-formed Fano weighted complete
intersections admits a natural partition with respect to the variance
$\mathrm{var}(X) = \mathrm{coind}(X) - \mathrm{codim}(X)$. Moreover, we obtain
the classification of smooth well-formed Fano weighted complete intersections
of small variance.
  We also prove that the anticanonical linear system on a smooth well-formed
Fano weighted complete intersection of anticanonical degree one is never
base-point free.
