To play chess at such a high level you need:
1. high creativity
2. very high spatial
3. very good memory
4. high ability to solve problems
5. ability to think long and quick
These are some of the things tested on most IQ tests.
So Magnus must have a minimum IQ of about 135 and a maximum IQ much higher.
In no way is he only just above average...
Let's be honest now, there are many 'savants' in this world who have extreme ability in one specific area, yet are very average if not deficient in others. I'm not saying that Magnus Carlsen is a savant, only that an extreme ability does not necessarily equate to an overall high IQ.
I can draw and paint better than 99.99% of people, but that doesn't make me a genius.
He was probably never tested. He said he did not know in an interview. But here is the interesting thing; he admitted that many times he did not calculate moves, but went by how a certain move "felt". This feeling in reality is the result of the synthesized outcome of thousands of games , subconsciously. This is similar to Koltanowski's description of his talent in blindfold chess. So it may be more interesting to now his EQ (emotional quotient).
I feel like that’s a bit of a stretch. Feelings and emotions are two different things. I doubt it’s eq. Some people just have minds that unconsciously think extremely strategically.
People always overestimate IQs, especially their own. Magnus Carlsen is likely just above average, which is good enough.