We present a measurement of the most probable cosmic muon energy at near sea level using a two-paddle cosmic ray detector. Muon rates at two different elevations (27 and 326 m) were measured. Data were collected for 2–3 h for each data set at 1 min intervals in the afternoon of successive days. Muon counts were extracted from a Gaussian fit to the distributions of both sets. Despite the fact that only a limited amount of data were collected and measurements were performed at relatively close altitudes, we observed good agreement between the 2.28 ± 0.21 GeV energy measured in this work and the value of 2 GeV that is reported in the literature.