Seems to me that the weather is rarely "normal." Ph.D. climatologists on the weather channel confuse the issue by using "normal" in the statistical sense (meaning average), while most of the audience hears "normal" in the colloquial sense (meaning normal). The weather people (almost said weather man there for a second) talk about temperatures, precipitation, etc. as though they follow "normal" (meaning Gaussian) distributions, neglecting to tell the rest of us that the statistical "normal" temperature occurs only a small percentage of the time in that "normal" distribution.
(What's wrong with "average?"