The effect of a varying external electric field on a two-dimensional lattice of point dipoles with a relatively high number of orientations is examined both by a generalized version of the quasi-chemical approximation and by a Monte Carlo technique. Agreement between these two procedures is found to be excellent. Monte Carlo calculations in which a continuous uniform distribution of dipole orientations is generated by ramdom numbers yield results in satisfactory agreement with those of a quasi-chemical approximation employing a sufficiently high number of discrete dipole orientations with a uniform density along all directions of three-dimensional space.