The measuring system comprises: A measuring transducer of vibration-type, through which medium flows during operation and which produces primary signals corresponding to parameters of the flowing medium; as well as a transmitter electronics electrically coupled with the measuring transducer for activating the measuring transducer and for evaluating primary signals delivered by the measuring transducer. The measuring transducer includes: At least one measuring tube for conveying flowing medium; at least one electro-mechanical, oscillation exciter for exciting and/or maintaining vibrations of the at least one measuring tube; and a first oscillation sensor for registering vibrations of the at least one measuring tube and for producing a first primary signal of the measuring transducer representing vibrations at least of the at least one measuring tube. The transmitter electronics, in turn, delivers at least one driver signal for the exciter mechanism for effecting vibrations of the at least one measuring tube and generates, by means of the first primary signal and/or by means of the driver signal, as well as with application of a pressure, measured value (Xp1), which represents a first pressure, pRef, reigning in the flowing medium, a pressure, measured value (Xp2), which, in turn, represents a static second pressure, pcrit, reigning in the flowing medium.