  The continuous quantum measurement within the probability representation of
quantum mechanics is discussed. The partial classical propagator of the
symplectic tomogram associated to a particular measurement outcome is
introduced, for which the representation of a continuous measurement through
the restricted path integral is applied. The classical propagator for the
system undergoing a non-selective measurement is derived by summing these
partial propagators over the entire outcome set. The elaborated approach is
illustrated by considering non-selective position measurement of a quantum
oscillator and a particle.
