In case of accidental activity releases to the atmosphere, meteorological parameters have a strong influence on the radiological impact to the population. This influence is treated separately and is presented in the form of normalized dose statistics. It is shown that activity deposition on the ground constitutes the predominant exposure pathway and that, consequently, precipitation situations lead to the most critical consequences for the population. The analysis is carried out using a limited number of weather sequences. It is shown that the effect on the results is small if this number is reduced from 1750 to 115, provided that rain is adequately represented. Major differences are found for the maximum dose, but not for the average, the variance, and the fraction by which the threshold dose of acute health effects is exceeded.