The present invention relates to a blood glucose meter (200) comprising a blood glucose measuring module (234) for performing a blood glucose measuring function and a wireless communication module (236) adapted for establishing a wireless communication link with an external device and exchanging information with the external device via the wireless communication link according to a predetermined frequency format and protocol. The blood glucose measuring module (234) and the wireless communication module (236) are physically separate units electrically connected in order to allow for an exchange of electrical signals corresponding to information to be transmitted by the wireless communication module and/or information received by the wireless communication module (236). According to the invention, the blood glucose measuring module (234) and the wireless communication module (236) both comprise a connector component (238, 240), wherein the two connector components (238, 240) are adapted to releasably establish the electrical connection between the blood glucose measuring module (234) and the wireless communication module (236). The present invention further relates to a blood glucose system comprising such a blood glucose meter (200) and a number of additional wireless communication modules (236) adapted for different frequency formats and/or protocols, so that the frequency format and/or protocol according to which the blood glucose meter (200) can communicate with an external device can be changed by replacing the wireless communication module (236) with one of the additional wireless communication modules (236), and to a corresponding method of constructing a blood glucose meter (200).