The mid-power designation is a tricky one. It’s no longer defined in relevant FAA regulations and the definition is thus somewhat flexible.
However, the NAR Safety Code specifies that model rockets running on an E motors or larger should be launched at least 30 ft away from the flier, range personnel, and spectators. This also happens to roughly coincide with the range where fliers start to use epoxy construction, through-the-wall fin installation, composite motors, launch rails, and other build techniques commonplace in HPR.
Just above the E class are F and G motors, some of which are certified as high-power motors due to sparky propellant or high thrust or both. Some hybrids are made in the G range too. Motor options proliferate in the F and G ranges too, with
Thus, most rocketeers think of mid-power as the E-G range, which is what this forum uses.
Personally, I like this definition because it wouldn’t take much effort to design a rocket that can be flown on a D, E, and sparky F in quick succession, thus qualifying as a low-, mid-, and high-power rocket for each of those respective flights.