  As an essential component of state-of-the-art quantum technologies, fast and
efficient quantum measurements are in persistent demand over time. We present a
proof-of-principle experiment on a new dimensionless pseudo-spin pointer based
on weak measurement. In the context of optical parameter estimation, we
demonstrate that the parametric distribution's moment is obtained
experimentally by employing the dimensionless pointer without measuring the
distribution literally. In addition to the sheer liberation of experimental
expense, the photon-countering-based pointer is well-calibrated for the
detection of weak signals. We show that for signals $3$-$4$ orders of weaker in
strength than the area-array camera method, an order of improvement in
precision is achieved experimentally.
