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If you calculate this properly, a Mensa member has about a cointoss chance to be the "smartest" among random group of 35 people (not 50).

Given that they are probably rarely in groups of purely random people, if you are Mensa member and you are in a group of dozen people (for example in professional setting) you'd probably have a 50/50 chance of not being the one with the highest IQ there.

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IQ is not randomly distributed in heterogeneous populations. Do a little research, and you'll see what I mean.

I did a little research, it's not clear what you mean.

What should I research? IQ follows normal distribution across entire population. I guess if you'd built your heterogenous population out of mental patients and university professors together you'd get bimodal distribution, but such heterogenous populations don't spontaneously pop up in your life very often.

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