A measuring system comprising a measuring transducer generating primary signals influenced by at least one measured variable characterizing the flowing medium; an evaluating circuit processing primary signals delivered by the measuring transducer to measured values. The measuring transducer includes: at least one measuring tube for conveying medium to be measured; an exciter mechanism acting on the measuring tube for causing the at least one measuring tube to vibrate; and a sensor arrangement for registering oscillations of the measuring tube. The sensor arrangement including first, second and third oscillation sensors spaced from each other for generating first, second, and third primary signals of the measuring transducer, respectively, representing vibrations of the measuring tube. Based on said primary signals the evaluating circuit generates a measured value of mass flow representing a mass flow rate of medium flowing through the measuring transducer.