All of the following are skills that will you succeed in a vocational school except:

athletic skills

Hello!

I think the other options were the following:
physical strength
physical stamina
athletic skills
analytical problem-solving skills.

Among those, athletic skills are indeed the least needed. Athletic skills are most useful for professional athletes and the challenges of everyday life are typically not as challenging, or challenging in other ways.

however, physical endurance and solving skills will be very useful, for example in house maintenance (plumbing, etc).