Barrington is a town in Yates County, New York, United States. The population was 1,681 at the 2010 census.
According to the United States Census Bureau, the town has a total area of 37.0 square miles (96 km), of which, 35.7 square miles (92 km) of it is land and 1.4 square miles (3.6 km) of it (3.70%) is water.
The west town line is delineated by Keuka Lake, one of the Finger Lakes. The south town line is the border of Schuyler County. Yates county shares a small common border in the southwest with Steuben County.
New York State Route 54 runs in a north-south direction along Keuka Lake. New York State Route 14A, another north-south highway, intersects New York State Route 230 in the eastern part of the town.
As of the census of 2000, there were 1,396 people, 490 households, and 381 families residing in the town. The population density was 39.1 people per square mile (15.1/km²). There were 900 housing units at an average density of 25.2 per square mile (9.7/km²). The racial makeup of the town was 98.85% White, 0.29% African American, 0.14% Native American, 0.14% from other races, and 0.57% from two or more races. Hispanic or Latino of any race were 0.43% of the population.
There were 490 households out of which 33.9% had children under the age of 18 living with them, 68.6% were married couples living together, 6.7% had a female householder with no husband present, and 22.2% were non-families. 18.2% of all households were made up of individuals and 9.0% had someone living alone who was 65 years of age or older. The average household size was 2.85 and the average family size was 3.24.
In the town, the population was spread out with 30.9% under the age of 18, 5.5% from 18 to 24, 25.3% from 25 to 44, 23.5% from 45 to 64, and 14.8% who were 65 years of age or older. The median age was 36 years. For every 100 females, there were 97.5 males. For every 100 females age 18 and over, there were 95.1 males.
The median income for a household in the town was $36,184, and the median income for a family was $38,864. Males had a median income of $29,301 versus $18,482 for females. The per capita income for the town was $15,416. About 11.5% of families and 16.9% of the population were below the poverty line, including 28.0% of those under age 18 and 6.4% of those age 65 or over.