Being nitpicky here, but I really think we should distinguish between "focusing," which involves moving the lens in relation to the negative, and moving the entire enlarger head assembly, lens stage and all as one unit, which really changes the size of the projected image (i.e., the degree of enlargement). The Beseler "fine-focus" knob that Nicholas refers to is actually the fine-tuning control for positioning the head assembly after rough positioning is done with the motor. This changes the size of the image on the easel.
Now, of course moving the entire head assembly up and down can "focus" the image, by finding the enlargement ratio that the lens-to-negative distance requires for proper focus, but more correctly, the focusing is done by using the focus knob that moves just the lens while the rest of the head assembly remains stationary.
Finding an exact enlargement ratio (i.e., size of enlargement) and focusing usually requires iterations of both head height and focus controls.
I do find "focusing in the middle of the focus spread" to be a good idea. We should keep in mind that the emulsion has a certain thickness and that a good grain focuser can differentiate sharp focus between the top and the bottom of the emulsion. "Focusing in the middle" places the focus in the middle of the emulsion as well.
Don't we all do this already, though? Just like focusing a camera, I always find the "near and far" limits of focus and place the focus as close to the middle as I can.
Best,
Doremus