Waubay is a city in Day County, South Dakota, United States. The population was 576 at the 2010 census.Waubay had its start in the early 1880s when the railroad was extended to that point.The school district is Waubay Public 18-3. The local newspaper is oldest business in town called the Waubay Clipper.GeographyWaubay is located at .According to the United States Census Bureau, the city has a total area of 1.46sqmi, all land.Demographics2010 censusAs of the census of 2010, there were 576 people, 242 households, and 148 families residing in the city. The population density was 394.5PD/sqmi. There were 374 housing units at an average density of 256.2/sqmi. The racial makeup of the city was 59.9% White, 36.5% Native American, 0.3% Asian, and 3.3% from two or more races. Hispanic or Latino of any race were 2.3% of the population.There were 242 households of which 30.2% had children under the age of 18 living with them, 38.0% were married couples living together, 16.5% had a female householder with no husband present, 6.6% had a male householder with no wife present, and 38.8% were non-families. 34.7% of all households were made up of individuals and 17.4% had someone living alone who was 65 years of age or older. The average household size was 2.38 and the average family size was 3.05.