The new going is developed near the evaluation of exactness of results of measurings by the evaluation of their vagueness. This approach differs from the known (existing) evaluations of exactness of measurings, which it was assumed at, that constituents had normal distribution, which does not depend on the type of distributing of constituents, influencing on a result. For this purpose as an initial size the function of belonging, the special case of which is probability, which interval estimations, uniting subjective and experimental information, were got at, was utillized.