I worry about how intelligent I am.

Categorically, there is NO meaningful correlation between Height and IQ.
Is Shaq more intelligent than every Scientist that ever lived?
Of course not.
Accept yourself, work hard, and remember to laugh as often as you can.

Ok. Plus if there was any significant correlation I think it would be lowered by the environment of my peers.
goldfish21
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It may just be a matter of your perspective, as perspective changes everything.
I'm a bit over 6'2 & have been called smart pretty well my entire life. For the most part, it's been a stressful burden as I've always felt like others expect me to have some great career or financial success and so far I haven't done either.
Also, it wasn't until 2 1/2 years ago or so when I was diagnosed with ADHD and started taking Dexedrine IR for it that my perspective changed dramatically and I even realized that I am kinda smart. I'd never felt it before, regardless of others telling me that many times over. I just felt they were putting pressure on me that I didn't want, or that they were paying my a compliment because they thought I needed to hear it - kind of like someone complimenting some morbidly obese person on their looks to boost their self confidence. Apparently it was more a matter of my perspective than reality. Even with my academic track record being fairly decent (2 years, 130.5 credits completed by age 19), I still never felt smart. Often I wouldn't think I was smart, but rather that others must be stupid - as my thoughts would be very negatively twisted. It literally took a perception & perspective changing pharmaceutical for me to even begin to realize it - and yet I still struggle with it, especially last Summer when my ADHD and AS went wild.. so much self doubt - I even asked a close friend if I should think I'm smart, and he gave me the best answer possible: "You need to answer that for yourself." While it was frustrating not to be handed an answer, it was more valuable to contemplate the answer he provided. I still struggle with this stuff at times, as I get the "but you're so smart," comments followed up with "why aren't you doing _______," for a career/business/whatever ?? as others can't for the life of them comprehend how I can "be so smart," yet not be wildly successful in a career/business/whatever. Obviously they don't quite get AS.. and nor did I for most of my life, as it's only been 6 months since I've known. I think I'll have greater chances of success in the future now that I'm not completely oblivious to my AS, but it's still going to be an uphill battle.
Anyways, if you have it in your head that you're not intelligent for whatever reason, height or relative comparison to someone else or w/e, you'll convince yourself of it, believe it, and manifest it as self fulfilling prophecy. People that aren't intelligent might do themselves some harm believing they're brighter than they are, too, but convincing yourself you're not smart (especially if you are) isn't going to be healthy for you, either. Chances are that NT's all around you in your life have a more realistic view of you than you have of yourself, so pay attention if people do comment to you that you're smart.. chances are they think & believe, and know, that you are. It's possible that, like myself, it's you who's the last to know.
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No


Correlation is not causation. Also the correlation is rather weak. I know short people who are very intelligent, and tall people who are not so intelligent.
Anyway you can only make the most of your own abilities but it's quite hard to increase 'intelligence' as it's more of an indicator to predict performance in other areas. But then some people have a high IQ but aren't so good in other areas. See if you can identify what it is you want to be good at exactly and focus on that.
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Meistersinger
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Plus, the tests themselves can be pretty arbitrary. The difference between normal an "culture fair", and the different standard variations kind of distort the results. (140-160 with a standard deviation of 24 is somewhere about 130 with the more common deviation of 15, if I remember correctly).
And in the end, your personal results can also vary a lot. (Sleep deprivation, for instance, can cause a significant drop).
When I took the GRE back in 1982, I couldn't believe how literate, but how mathematically any logically dumb I was. I scored 1500 verbal, and 250 mothematical and logical.