In your opinion what age group expresses their anger by slamming doors?

If an adult slams doors it is considered as a tantrum. 
I suggest that you read Transactional Analysis by Eric Berne for more insightful psychological details about human behaviour at any age.  

Any year from what I experience.

13 to 19, ie teens and menstruating women, 8 - 50!

Fifteen to twenty five.

i think this is 18