Winchester is a city in White River Township, Randolph County, in the U.S. state of Indiana. The population was 4,935 at the 2010 census. The city is the county seat of Randolph County. It is the home of Winchester Speedway. Winchester was laid out in 1818 as the county seat. A post office has been in operation at Winchester since 1820.The Gen. Asahel Stone Mansion, Winchester Courthouse Square Historic District, and Winchester Residential Historic District are listed on the National Register of Historic Places.Winchester is located at 40°10′23″N 84°58′39″W (40.173165, -84.977435).According to the 2010 census, Winchester has a total area of 3.343 square miles (8.66 km2), of which 3.33 square miles (8.62 km2) (or 99.61%) is land and 0.013 square miles (0.03 km2) (or 0.39%) is water.
At the 2010 census there were 4,935 people, 2,051 households, and 1,281 families living in the city. The population density was 1,482.0 inhabitants per square mile (572.2/km2). There were 2,349 housing units at an average density of 705.4 per square mile (272.4/km2). The racial makeup of the city was 96.1% White, 0.5% African American, 0.5% Native American, 0.5% Asian, 1.3% from other races, and 1.1% from two or more races. Hispanic or Latino of any race were 2.6%.Of the 2,051 households 30.2% had children under the age of 18 living with them, 43.1% were married couples living together, 14.3% had a female householder with no husband present,
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