From my experience, most educated people think they are smarter than an uneducated person. There is a thin line between intelligence and smartness, intelligence to me is the ability to assimilate and process information while smartness is simply the ability to apply information learnt (either in school or via experience) to outwit problems or scenarios in real life. Most educated people are skilled at assimilation of information while a smart uneducated person is very skilled at outwitting real life scenario to best suit him. these are just my thoughts on the matter
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Statistically speaking, more educated people are more intelligent than uneducated people (likely because intelligent people are more likely to enjoy learning things, and are thus more likely to pursue additional education).
Smarter however, smartness is more like applied intelligence, and it doesn't necessarily correlate. A less intelligent person can be a whole lot smarter then a more intelligent person if they better apply the brain power they've got!
Couldn't agree more