Certainly it is easier to say it was wrong. Meteorologists actually do see the error bars &c., then they dumb it down so most people can grasp what they're saying. I understand there is ongoing discussion as to what kind of balance is appropriate between being precise and being understandable. Unfortunately, status quo bias seems to be dictating the outcome of that discussion, and much of the information in meteorological models is never provided to the general public as a result.
I think most people would be perfectly able to understand: The temperature is going to be between 10 and 15 degrees instead of the temperature is going to be 12 degrees.
Then the metrologist can use whatever probability he considers to be appropriate.
Unfortunately, status quo bias seems to be dictating the outcome of that discussion
Yes, and the status quo is wrong. It's makes sense to say it's wrong. People in charge really do screw up by staying with the status quo. Making excuses for it doesn't help.
That's especially true today where I get my weather...
Alternatively, what single concept from statistics would most improve people's interpretations of popular news and daily life events?