The present paper studies the influences of the bubble size distribution on the propagation of acoustic waves in dilute polydisperse bubbly liquids theoretically.The proposed approach is validated by using available experimental data in the literature.It is revealed that the bubble size distribution has impacts on both the wave speed and the wave attenuation.Specifically,the minimum wave speed together with the corresponding frequency could be both significantly affected by the bubble size distribution (e.g.,the standard deviation).Furthermore,the maximum wave attenuation in the frequency response curve is also sensitive to the variations of the bubble size distribution.