We study in this brief report the properties of empirical cumulative distribution functions of geomagnetic signals measured at 3-hour intervals for two separate 1-month periods at three stations spaced in latitude from L = 3.2 to L = 4.0. The cumulative distributions are also compared to theoretical cumulative distribution functions expected from Gaussian distributions. The widths and amplitudes of the empirical distributions, as well as their deviations from Gaussian, are studied and compared to the global and 'local' (in longitude) geomagnetic K indices. In general, the widths of the empirical distributions become broader with increasing geomagnetic activity; the widths of the distributions are narrower at lower latitudes for a given level magnetic activity. Many empirical cumulative distribution functions compare favorably to the theoretical functions; deviations show no relation to magnetic activity.