The grain-size problem is important in several applications of texture analysis, including texture of coarse-grained geological materials and metals or measurement of individual orientations. This paper is an attempt to study this problem with respect to neutron diffraction stress experiments. In fact, as neutron experiments utilize millimeter and smaller beams and gauge volumes, variations in local properties gain increasing importance. Young's modulus and Poisson's ratio as standard bulk properties, and diffraction elastic constants, as the basis for stress calculation in diffraction experiment were considered. Their statistical proper-ties were studied as a function of the number of representative grains in a sample. We applied analytical analysis and the finite element method to solve this problem. From these calculations the influence of a finite number of grains in a sample on expected errors of the values of interest could be inferred.