Most line array systems consist of a number of discrete sound sources. For typical performance criteria of such arrays, such as the homogeneous, controlled radiation of sound or its minimum variation among mechanically identical arrays, it is important that the radiation properties such as sensitivity and directional response of the individual sources are very similar. Based on statistical means, we discuss the effect of sample variation on the overall array performance. We show that for typical modeling applications the influence of sample variation is small and that it can be neglected in most cases as a minor error. Our results are derived by three different methods, a rigorous mathematical analysis, numerical simulations and exemplary measurements.
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