This paper deals with a method that aims at solving the inverse problem where some of the key structural parameters are determined from knowledge of the system's response. This method was applied to the specific case of a 12-bladed disk to determine the range of individual blade cantilever frequency scatter so that all blade responses lay below an allowable maximum level. This scatter or manufacturing tolerance was computed statistically, and the analysis was verified using a direct Monte Carlo simulation. The relationship between the allowable response increase due to mistuning and the corresponding manufacturing tolerances was also investigated, and the presence of a critical mistuning threshold was noted