We study wave propagation in a one-dimensional disordered array of scattering potentials. We consider three different ensembles of scatterer configurations: an N-ensemble with a fixed number N of scatterers, an L-ensemble with a varying number of scatterers distributed over a fixed length L, and an NL-ensemble where both N and L are fixed. The latter ensemble allows a detailed study of the mean resistance and its variance for a fixed length L as the number of scatterers N increases.