  Magnitude of a finite metric space and the related notion of magnitude
functions on metric spaces is an active area of research in algebraic topology.
Magnitude originally arose in the context of biology, where it represents the
number of effective species in an environment; when applied to a one-parameter
family of metric spaces $tX$ with scale parameter $t$, the magnitude captures
much of the underlying geometry of the space. Prior work has mostly focussed on
properties of magnitude in a global sense; in this paper we restrict the sets
to finite subsets of Euclidean space and investigate its individual components.
We give an explicit formula for the corrected inclusion-exclusion principle,
and define a quantity associated with each point, called the $\textit{moment}$
which gives an intrinsic ordering to the points. We exploit this in order to
form an algorithm which approximates the convex hull.
