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Paragon is a town in Ray Township, Morgan County, in the U.S. state of Indiana. The population was 659 at the 2010 census.
Paragon was founded in the early 1850s about the same time the first store was opened in the community in 1852. A post office has been in operation at Paragon since 1868.
According to the 2010 census, Paragon has a total area of 0.34 square miles (0.88 km2), all land.
As of the census of 2010, there were 659 people, 233 households, and 172 families living in the town. The population density was 1,938.2 inhabitants per square mile (748.3/km2). There were 261 housing units at an average density of 767.6 per square mile (296.4/km2). The racial makeup of the town was 97.4% White, 0.2% African American, 0.5% from other races, and 2.0% from two or more races. Hispanic or Latino of any race were 0.9% of the population.
There were 233 households, of which 39.5% had children under the age of 18 living with them, 52.8% were married couples living together, 15.0% had a female householder with no husband present, 6.0% had a male householder with no wife present, and 26.2% were non-families. 18.5% of all households were made up of individuals, and 7.3% had someone living alone who was 65 years of age or older.