  While entanglement plays an important role in characterizing quantum
many-body systems, it is hardly possible to directly access many-body
entanglement in real experiments. In this paper, we study how bipartite
entanglement of many-body states is manifested in the correlation of local
measurement outcomes. In particular, we consider a measure of correlation
defined as the statistical distance between the joint probability distribution
of local measurement outcomes and the product of its marginal distributions.
Various bounds of this measure are obtained and several examples of many-body
states are considered as a testbed for the measure. We also generalize the
framework to the case of imprecise measurement and argue that the considered
measure is related to the concept of quantum macroscopicity.
