Madison is a village in Madison County, New York, United States. The population was 305 at the 2010 census. The village and its town are named after President James Madison.
Madison is located at 42°54′2″N 75°30′54″W / 42.90056°N 75.51500°W / 42.90056; -75.51500 (42.900775, -75.515153).
According to the United States Census Bureau, the village has a total area of 0.5 square miles (1.3 km²).None of the area is covered with water.
As of the census of 2000, there were 315 people, 138 households, and 77 families residing in the village. The population density was 626.5 people per square mile (243.2/km²). There were 151 housing units at an average density of 300.3 per square mile (116.6/km²). The racial makeup of the village was 99.68% White and 0.32% Asian. Hispanic or Latino of any race were 0.63% of the population.
There were 138 households out of which 26.1% had children under the age of 18 living with them, 44.2% were married couples living together, 9.4% had a female householder with no husband present, and 43.5% were non-families. 36.2% of all households were made up of individuals and 14.5% had someone living alone who was 65 years of age or older. The average household size was 2.28 and the average family size was 3.01.
In the village, the population was spread out with 24.4% under the age of 18, 7.0% from 18 to 24, 29.2% from 25 to 44, 23.2% from 45 to 64, and 16.2% who were 65 years of age or older. The median age was 38 years. For every 100 females, there were 87.5 males. For every 100 females age 18 and over, there were 83.1 males.
The median income for a household in the village was $27,250, and the median income for a family was $37,708. Males had a median income of $28,125 versus $21,786 for females. The per capita income for the village was $16,960. About 9.9% of families and 12.9% of the population were below the poverty line, including 7.6% of those under age 18 and 3.7% of those age 65 or over.