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What an IQ of 145 means really depends on the test. On some tests it might means that you are smarter than 99.85% of the population, on others it might mean that you are brighter than about 80% of the population.

Modern IQ tests tend to be designed to give a normal distribution of scores with 100 as the mean. A normal distribution is a bell shape, so that the closer the IQ is to 100, the more people there are with that IQ. Exactly how many for a given IQ depends on something called the standard deviation.

About two thirds of people have an IQ within 1 standard deviation of 100 (the mean). For example, IQ tests commonly have a standard deviation of about +/-15. This means about two thirds of people have an IQ between 85 and 115. You might call this the average range. About 95% of people will be within two standard deviations, so using the same example, about 95% of people will have an IQ between 70 and 130. And 99.7% within 3 standard deviations.

So, on an IQ test with a standard deviation of +/-15, you might say that people with an IQ of 130 or more are above average (in the top 15% or so), and if your IQ is 145 then you are in the top 0.15% of the population.

However, the standard deviation depends on the test. Standard deviations on common tests range from 10 to 24.

Because of this, these days psychologists tend to talk of percentile ranges when talking about IQ with a certain confidence interval. So, you would be far more likely to be told that your IQ is in the 94% percentile range with a confidence interval of 90%

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