1. A blood glucose measuring instrument comprising: a communication section configured to wirelessly communicate with an external apparatus operated by a medical professional; first setting means for setting a received static limit value, inputted by the medical professional at the external apparatus and transmitted wirelessly from the external apparatus to the blood glucose measuring instrument, as a first threshold value; storage means for storing blood glucose level data acquired by blood glucose measurement of a blood sample taken from a subject, including most recent blood glucose level data acquired by a most recent blood glucose measurement, the storage means storing the blood glucose level data in one of several classified groups each representing a different measurement time period during which blood glucose level measurements were performed; second setting means for calculating, using the blood glucose level data stored in the classified groups, a dynamic limit value of the blood glucose level data in each classified group and for setting the dynamic limit value as a second threshold value; and notification means which compares the most recent blood glucose level data with both the first threshold value and the second threshold value of the classified group in which the most recent blood glucose level data is classified for providing notification about a result of the comparison of the most recent blood glucose level data with both the first threshold value and the second threshold value of the classified group in which the most recent blood glucose level data is classified.