Cheap Apartments For Rent In Dover Ohio . Explore rentals by neighborhoods, schools, local guides and more on trulia! The median rent for the city is $691 a month. The Most Affordable Cities in Each State from www.pinterest.com Compared to the national average, dover has a high number of residents older than 25 who have earned a high school degree or equivalent (29%). View photos of affordable apartments, floor plans, amenities and more. Dover oh apartments for rent.