• yogurtwrong@lemmy.world
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        1 month ago

        But in a perfect bell curve, isn’t the median always the same as the average?

        And even if it’s not a perfectly symetrical bell curve, aren’t they generally close enough to ignore the differance

          • blandfordforever@lemm.ee
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            1 month ago

            I understand that you’re saying there are more incredible geniuses than full on retards.

            However, IQ scores are a normal distribution with an arbitrarily defined mean of 100 and a standard deviation of 15.

            So, IQ scores of 0 or 200 are both 6.6 standard deviations from the mean. If IQ is truly a normal distribution, you’d expect the number of people with IQ scores <= 0 and the number with scores >= 200 to be exactly the same, simply because this is how the scores are defined.

            If you try to look up what proportion of the population falls outside 6.6 standard deviations, the z-tables don’t go out this far. It’s essentially 0% (0/100) but how many is it out of 8 billion?

              • blandfordforever@lemm.ee
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                1 month ago

                I have to disagree.

                IQ as a measure of intelligence doesn’t work that way. The number can’t just get higher and higher because a person is really smart. A supreme, godlike intelligence doesn’t have an IQ of say, a million.

                IQ has a statistical definition and although intelligence may not follow a perfect normal distribution, IQ Score does.

                If there are about 8 billion humans, then 1 of them is “the smartest” in some way. 1/8,000,000,000 is 1.2x10^-10, this has a z score of 6.33.

                The current smartest person will have an IQ of (6.33x15)+100=195. No one has an IQ of 200. This isn’t because a person can’t be any smarter, it’s because this is how IQ is defined. If a pure, perfect, godlike intelligence exists in our current human population, their IQ is 195.

                • Knock_Knock_Lemmy_In@lemmy.world
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                  1 month ago

                  No one has an IQ of 200

                  I linked to a list of many examples

                  this has a z score of 6.33.

                  Only if normal distributions are assumed. Clearly this assumption is incorrect.

                  But we do agree that a negative IQ is impossible?

                  • blandfordforever@lemm.ee
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                    1 month ago

                    You provided a link to reader’s digest. It’s not the most credible reference.

                    A negative IQ score and an IQ score above 200 would be possible with larger populations.

              • shneancy@lemmy.world
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                1 month ago

                any article that lists historical figures with even estimates their IQs can be discarded as bullshit. IQ has specific testing criteria and imo the most important part of it is its basis in general distribution - if we don’t know the IQ of the average peasant, we can’t know the IQ of Shakespeare

                besides, IQ is a borderline pseudo science to begin with. i was made to take an official IQ tests and the second i stepped out of the test room i started wondering how is this going to accuratly portray my “innate” intelligence when the vast majority of the things on the test can be learnt or otherwise trained to be better at

                • Knock_Knock_Lemmy_In@lemmy.world
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                  1 month ago

                  any article that lists historical figures with even estimates their IQs can be discarded as bullshit.

                  There are people alive on that list.

                  IQ is a borderline pseudo science

                  The person above is trying to prove IQ legitimacy with normal distributions and confidence levels. I’m arguing against it.

                  • shneancy@lemmy.world
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                    1 month ago

                    i have indeed noticed there are people alive on that list. But are you going to trust a source that states someone’s IQ to be literally outside of the possible scale when it also just makes shit up a few people down?

                    i don’t think they’re trying to prove IQ’s legitimacy, just explain the way it’s calculated

    • abbadon420@lemm.ee
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      1 month ago

      If we’re talking about IQ, than no. An IQ between 85 and 115 is considered average. This entails 68% of the population. So, only 32% of people are not average and only 16% are below average.

      • Eheran@lemmy.world
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        1 month ago

        The average is exactly one value and nobody has exactly that value. Since average~mean 50 % are below and 50 % above average.

        What you are talking about is a range that is around the average, specifically one standard deviation (=15 points) around the average/mean value, which is a completely arbitrary range and I do not know why you assign “average” to this range. 90 to 109 is a range I know to be attributed “average”, still arbitrary, but at least an actually established range.