Worcester, NY has a population of 1,018 and is the 15,036th largest city in the United States. The population density is 119 per sq mi which is 67% lower than the New York average and 31% higher than the national average. The median age in Worcester is 51 which is approximately 32% higher than the New York average of 38. In Worcester, 67% of the population over 15 years of age are married, 94% speak English and 2% speak Spanish. 79% of Worcester residents were born in New York, 18% were born out of state, 1% were born outside of the United States and 1% were foreign born.