The measuring system comprises a vibration-type transducer (MW) through which a medium flows when the transducer is operated and which produces primary signals that correspond to parameters of the flowing medium, especially a mass flow rate, a density and/or a viscosity, and a transducer electronic system (ME) electrically coupled to the transducer for controlling the transducer and for evaluating the primary signals supplied by the transducer. The transducer comprises at least one measuring tube (10; 10') for carrying a flowing medium, at least one electro-mechanical vibration stimulator for stimulating and/or maintaining vibrations of the at least one measuring tube, a first vibration sensor (51) for detecting inlet-side vibrations at least of the at least one measuring tube and for producing a first primary signal (S
1 ) of the transducer representing vibrations at least of the at least one measuring tube, and a second vibration sensor (52) for detecting outlet-side vibrations at least of the at least one measuring tube and for producing a second primary signal (S
2 ) of the transducer representing vibrations at least of the at least one measuring tube. The transducer electronics supplies at least one driver signal (i
exc ) for the vibration stimulator effecting vibrations of the at least one measuring tube and uses the first primary signal and the second primary signal as well as a Reynolds number measured value representing a Reynolds number,
Re , for medium flowing in the transducer to produce a pressure differential measured value (X
Δp ) which represents a pressure difference occurring in the flowing medium between two defined reference points.