this post was submitted on 24 Jan 2022
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This could mathematically be possible if intelligence was not spread on a perfect normal distribution, by construction.
If a dataset is [10, 10, 10, 10, 1], then 80% are above average, or more specifically, above the mean.
That being said, saying that you think you're of above average intelligence is a thoroughly cringey and narsisistic thing to do.
Yeah, and even if it's perfect distribution, the result isn't that bad. Sure, there'd be the possibility of having lots of people who consider themselves less inteligent but are moreso than the average and vice-versa. But all in all, there'd only 15% more people who would consider themselves smarter than average and be wrong about it.
If only 1 in 7 of my friends wrongly believes they're smarter than average, I'd say that's acceptable.
If by "perfect distribution" you mean "normal distribution", and/or if we assume that "average" means "median" instead of "mean", then from the survey result "65% of Americans believe they are smarter than average" we can actually conclude that a minimum of 15% of respondents incorrectly asses themselves to be smarter than average - but it could only be as low as 15% if 100% of the people assessing themselves to be less intelligent than average are correct.
If 1% of the respondents incorrectly asses themselves to be less intelligent than average, then 16% are incorrectly assessing themselves to be more intelligent than average, and so on.
(Ignoring that embedded in this survey is the antiquated notion that the quantification of intelligence is even valid in the first place...)
Sorry for the late reply. It's been sitting in my Lemmy notifications for a long time and I didn't properly read it until now. Thanks for having take the time to explain how the total amount of people who incorrectly assess themselves regarding the mean/median can be broken down.
Also, the discussion regarding the validity of intelligence was interesting. After reading the Wikipedia entry, it's clear to me that it's a limited metric, if not a wholly invalid metric.