Tioga Middle School. 27 Fifth Avenue PO Box 241. Tioga Center, NY 13845 Phone: (607) 687-8004 Fax: (607) 687-6910. Tioga Elementary School. 27 Fifth Avenue PO Box 241. Tioga Center, NY 13845 Phone: (607) 687-8002 Fax: (607) 687-6945. Tioga Central School District 27 5th Ave Tioga Center, NY 13845