2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96196We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We show that the weak value can be regarded as a \emph{definite} mechanical effect on a measuring probe specifically designed to minimize the back-reaction on the measured system. We then present a new framework for general measurement conditions (where the back-reaction on the system may not be negligible) in which the measurement outcomes can still be interpreted as \emph{quantum averages of weak values}. We show that in the classical limit, there is a direct correspondence between quantum averages of weak values and posterior expectation values of classical dynamical properties according to the classical inference framework.13 pages, 6 figures, Revtex 4. Paper has been shortened. Section on large- sample measurements has been removed. The discussion on this topic has been deferred to a future publicationQuantum Physicstext