An inline measuring device includes a vibration-type measurement pickup having at least one measuring tube, which has a medium to be measured flowing through it during operation. The measuring tube is made by means of an exciter arrangement to execute, at least at times and / or at least in part, lateral oscillations and, at least at times and / or at least in part, torsional oscillations about an imaginary measuring tube longitudinal axis. The torsional oscillations alternate with the lateral oscillations or are, at times, superimposed thereon. Also included is a sensor arrangement for producing oscillation measurement signals correspondingly representing oscillations of the measuring tube. Measuring device electronics controlling the exciter arrangement generates, by means of at least one of the oscillation measurement signals and / or by means of the exciter current, at least at times, at least one measured value, which represents the at least one physical quantity to be measured. Additionally, the measuring device electronics also determines a first intermediate value, which corresponds to the lateral current component of the exciter current serving to maintain the lateral oscillations of the measuring tube and / or to a damping of the lateral oscillations of the measuring tube, as well as a second intermediate value, which corresponds to a torsional current component of the exciter current serving to maintain the torsional oscillations of the measuring tube and / or to a damping of the torsional oscillations of the measuring tube. With the goal of producing the measured value at high accuracy, such value is determined also taking into consideration these two intermediate values. The measured value obtained in this way is distinguished especially by high accuracy also in the case of media of two, or more, phases.