Carthage is a very small village located in the state of New York. With a population of 3,301 people and two associated neighborhoods, Carthage is the 451st largest community in New York. Much of the housing stock in Carthage was built prior to World War II, making it one of the older and more historic villages in the country.

14.90% of the workforce is employed in the armed forces, making the military a huge focus of life in Carthage. Even though it is a military town, the civilian sector still plays an important role in the local economy. The Manufacturing and Healthcare industries respectively employ 17.34% and 12.74% of the civilian workforce.

The overall education level of Carthage is somewhat higher than in the average US city of 21.84%: 25.22% of adults 25 and older in the village have at least a bachelor's degree.

The per capita income in Carthage in 2022 was $29,352, which is low income relative to New York, and lower middle income relative to the rest of the US. This equates to an annual income of $117,408 for a family of four. However, Carthage contains both very wealthy and poor people as well.

Carthage is a somewhat ethnically-diverse village. The people who call Carthage home describe themselves as belonging to a variety of racial and ethnic groups. The greatest number of Carthage residents report their race to be White, followed by Black or African-American. Important ancestries of people in Carthage include Irish, German, Italian, French, and English.

The most common language spoken in Carthage is English. Other important languages spoken here include Spanish and Tagalog.