What Mr. Richard described is called a “compound radius.” This is where the surface of the fingerboard is modeled as the surface of a cone, where the radius changes along its length, rather than the surface of a pipe of constant radius.
Some makers will state the radius at the nut, and also the radius higher up around the 12th fret. “Average” radius doesn’t mean anything with a compound radius.
Mr. Richard gave a clear description of the purpose of a compound radius. Thanks for asking the question