The dry, rough patches and bumps on the skin could be due to Keratosis Pilaris. This condition is caused when the dead skin cells clog hair follicles and are often red or brown in color. It is not at all contagious and commonly affects the upper arms, thighs, or cheeks. Keratosis pilaris can also show up on the face, but that is very rare. It is highly common in children and teens but it usually subsides as they get older.
Ref: Onlymyhealth