Carthage is a city in Miner County, South Dakota, United States.

There were 136 housing units at an average density of 93.2 per square mile (36.0/km2).

46.3% of all households were made up of individuals, and 21.3% had someone living alone who was 65 years of age or older.

There were 143 housing units at an average density of 98.0 per square mile (37.8/km2).

43.9% of all households were made up of individuals, and 28.6% had someone living alone who was 65 years of age or older.

About 13.2% of families and 17.4% of the population were below the poverty line, including 40.0% of those under the age of eighteen and 12.1% of those 65 or over.