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sapiogram 10 months ago

> and then pick out 100 questions that form a Gaussian distribution. This is how IQ tests are created.

You missed an extremely important final step. People's scores on those 100 questions still aren't going to form a Gaussion distribution. You have to rank-order everyone's scores, then you assign the final IQ scores based on each person's ranking, not their raw score.

fwip 10 months ago | parent [-]

It would form a gaussian distribution if you pick the questions carefully enough.

If you rank-order scores and fit to the distribution after the fact, the questions are nearly irrelevant, as long as you have a mix of easy, medium and hard questions.

sapiogram 10 months ago | parent [-]

> It would form a gaussian distribution if you pick the questions carefully enough.

Why would that be the case? The Central Limit Theorem does not apply here, because the observations (questions) are correlated with each other.