  We propose a stochastic collocation method based on the piecewise constant
interpolation on the probability space combined with a finite volume method to
solve the compressible Navier-Stokes system at the nodal points. We show
convergence of numerical solutions to a statistical solution of the
Navier-Stokes system on condition that the numerical solutions are bounded in
probability. The analysis uses the stochastic compactness method based on the
Skorokhod/Jakubowski representation theorem and the criterion of convergence in
probability due to Gy\"ongy and Krylov.
