What are the differences between George and Hazel?

Hazel Bergeron is described as being "perfectly average" in intelligence. This description implies that she cannot ponder anything because her thought processes are shallow. She cannot recall much, and her attention span is very short. When, for instance, she views the television, Hazel forgets what she has seen almost instantly. On the other hand, George Bergeron is innately highly intelligent. Consequently, he is required to always wear in his ear a "little mental-handicap radio." This radio is tuned to a government transmitter that sends sharp noises into his ear "to prevent him from taking unfair advantage of his brain."