In school or university, most people are average (by definition) and most people want to be like each other.
Interestingly enough most people who go out and accomplish big things aren’t necessarily below average, average or even above average when compared to other people in a traditional setting.
The difference is that these people don’t tend to care about wanting to be like other people.
This suggests that there is a different type of intelligence at play which seems to be orthogonal to what is measured in the education system.
Perhaps not caring about what other people think isn’t a personality trait, but a symptom of an underlying type of intelligence.