Disorder of size (polydispersity) and mass of discrete elements/particles in randomly structured media (e.g. granular matter like soil) has numerous effects on the materials' sound propagation characteristics [Mouraille and Luding, Ultrasonics, 48, 498–505 (2008); Lawney and Luding, Acta Mechanica, 225, 2385–2407 (2014)]. The influence of disorder on the sound wave speed and its low pass frequency filtering characteristics is the subject of this study. Goal is understanding the connection between the particle-micro-scale disorder and dynamics and the system-macro-scale wave propagation which can be applied to non-destructive testing, seismic exploration of buried objects (oil, mineral, etc.) or to study the internal structure of earth. To isolate the longitudinal P-wave mode from shear and rotational modes, a one-dimensional system of elements/particles is used to study the effect of mass disorder alone via ensemble averaged real time signals, signals in Fourier space and dispersion curves. Increase in polydispersity can decrease the sound wave speed because of a decrease in the number of contacts between particles [Mouraille and Luding, Ultrasonics, 48, 498–505 (2008)]. Also, increase in mass disorder (where disorder has been defined such that it is independent of the shape of the probability distribution of masses) decreases the sound wave speed along a particular granular chain. Energies associated with the eigenmodes are constant, independent of time and have been used to derive dispersion relations for disordered chains, these dispersion relations show a decrease in cut-off frequency and thus wave speed with increasing disorder.