> there might be a general belief that the median human is not intelligent

This is to deconstruct the question.

I don't think it's even wrong - a lot of people are doing things, making decisions, living life perfectly normally, successfully even, without applying intelligence in a personal way. Those with socially accredited 'intelligence' would be the worst offenders imo - they do not apply their intelligence personally but simply massage themselves and others towards consensus. Which is ultimately materially beneficial to them - so why not?

For me 'intelligence' would be knowing why you are doing what you are doing without dismissing the question with reference to 'convention', 'consensus', someone/something else. Computers can only do an imitation of this sort of answer. People stand a chance of answering it.