IQ is a metric, presumably of g, that is rescaled so that the average IQ is 100. Rescaling isn’t a particularly distorting operation to do. It is not fit onto a gaussian distribution.
I’m afraid you’re mistaken here. IQ scores are generally derived from a set of raw test scores by fitting them to a normal distribution with mean 100 and SD of 15 (sometimes 16): IQ 70 is thus defined as a score two standard deviations below the mean. It’s not a linear rescaling, unless the question pool just happens to give you a normal distribution of raw scores.
I’m afraid you’re mistaken here. IQ scores are generally derived from a set of raw test scores by fitting them to a normal distribution with mean 100 and SD of 15 (sometimes 16): IQ 70 is thus defined as a score two standard deviations below the mean. It’s not a linear rescaling, unless the question pool just happens to give you a normal distribution of raw scores.
Hm. A quick look around finds this which says that raw scores are standardized by forcing them to the mean of 100 and the standard deviation of 15.
This is a linear transformation and it does not fit anything to a gaussian distribution.
Of course this is just stackexchange—do you happen to have links to how “proper” IQ test are supposed to convert raw scores into IQ points?
If the difficulty of the questions can’t be properly quantified, what exactly do the raw scores tell you?
See the first sentence of the penultimate paragraph of this.