Truthfully, I'm not sure how the level of education of the person is relevant
I agree, I'd explain it to an uneducated person the same way I'd explain it to a Noble Laureate, in plain, simple easy to understand terms that are hard to weasel around.
Besides, as Alyssa knows I'm sure, the smartest people tend to be those who can give the simplest and most concise explanations. The brilliance of someone like Richard Feynman teaching physics at Cal Tech is that his lectures are easy enough for almost anyone to pick up and read, and grasp.
Of course, as Feynman said: If you ask naive but relevant questions, then almost immediately the person doesn't know the answer, if he is an honest man. So, we're kinda stuck there too I guess.