A method and a read/write device for selecting at least one wireless data medium from a number of detected wireless data media that are RFID transponders, wherein the data media are registered in a detection area of a read/write device via a plurality of detection cycles, at least one receive parameter is recorded for each of the detected data media, and at least one data medium of the data media is selected based on an evaluation of the recorded receive parameters, a plurality of detection cycles are performed at different antenna polarizations, at least one receive parameter is recorded at each of utilized antenna polarizations for the detected data media, and at least one of the detected data media is selected in each case based on a statistical evaluation of the receive parameters recorded in the different antenna polarizations.