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; as well as at least a first oscillation sensor for registering vibrations at least 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, as well as with application of a damping, measured value, which represents an excitation power required for maintaining vibrations of the at least one measuring tube, and, respectively, a damping of vibrations of the at least one measuring tube as a result of inner friction in the medium flowing in the measuring transducer, a pressure difference, measured value, which represents a pressure difference occurring between two predetermined reference points in the flowing medium.