Barrington is located in Yates county New york with a geographic area of square miles. The total population in Barrington is 1,809 with 49.1% male and 50.9% female. Children under age 5 represent 8.4% of the population, under age 18 equal 24.8% of the population and over age 65 is 27.2% of the population. The median household income is $68,516, per capita income is $35,698. There are a total of 601 housing units with 95.3% owner occupied. Education includes 41.1% of residents that are high school graduates and 24.5% with a bachelor's degree or higher. The average temperature in Barrington in the summer is 70 degrees, and in the winter 27 degrees.