  This paper is a contribution to the development of a framework, to be used in
the context of semiclassical canonical quantum gravity, in which to frame
questions about the correspondence between discrete spacetime structures at
"quantum scales" and continuum, classical geometries at large scales. Such a
correspondence can be meaningfully established when one has a "semiclassical"
state in the underlying quantum gravity theory, and the uncertainties in the
correspondence arise both from quantum fluctuations in this state and from the
kinematical procedure of matching a smooth geometry to a discrete one. We focus
on the latter type of uncertainty, and suggest the use of statistical geometry
as a way to quantify it. With a cell complex as an example of discrete
structure, we discuss how to construct quantities that define a smooth
geometry, and how to estimate the associated uncertainties. We also comment
briefly on how to combine our results with uncertainties in the underlying
quantum state, and on their use when considering phenomenological aspects of
quantum gravity.
