<p>I said MAJOR not career path. Even though at least objectively engineers have better “stats” than liberal arts majors, they almost invariably have lower gpas. Comparing the intellectual requirements for being a social worker and being a mathematician is like comparing apples and oranges. Whilst being a mathematician will most nearly require higher objective and abstract thinking, a social worker will require tools a mathematician does not always have including as you said prior EQ and perceiving feelings. And of course, the only certainty is that there are exceptions.</p>