There are 2 US Post Offices in Scott County serving a total of 5,278 residents equating to 2,639 residents per post office. It's estimated that approximately 8,424 packages are handled across the 2 county post offices annually. Scott County (standard abbreviation: SC) is a county located in the U.S. state of Kansas. As of the 2010 census, the county population was 4,936. Its county seat is Scott City, the only city in the county."