| | Adams, NY | Carthage, NY | United States |
| Population | 5,053 | 3,398 | 329,725,481 |
| Female Population | 50.4% | 52.8% | 50.5% |
| Male Population | 49.6% | 47.2% | 49.5% |
| Median Age | 42.3 | 31 | 38.4 |
| space3 | | | |
| Population - 2010 | 5,164 | 3,666 | 309,327,143 |
| Population - 2000 | 4,782 | 3,721 | 285,036,114 |
| Population - 1990 | 4,977 | 4,344 | 251,960,433 |
| Pop. 2000 to Now | 1.4% | -12.5% | 15.6% |
| Pop. 1990 to Now | -2.6% | -25.1% | 30.8% |
| space4 | | | |
| Population Density | 119.7 | 1,403.0 | 93.4 |
| Land Area | 42.2 | 2.4 | 3,531,905.4 |
| Water Area | 0.2 | 0.2 | 264,836.8 |
| space | | | |
| Est. Total Population By Age | | | |
| | Adams, NY | Carthage, NY | United States |
| Age 0 to 4 | 2.7% | 11.4% | 5.9% |
| Age 5 to 9 | 9.0% | 5.5% | 6.1% |
| Age 10 to 14 | 7.4% | 5.6% | 6.6% |
| Age 15 to 17 | 4.0% | 4.9% | 3.9% |
| Age 18 to 20 | 2.9% | 2.6% | 4.0% |
| Age 21 to 24 | 1.6% | 7.0% | 5.2% |
| Age 25 to 34 | 14.0% | 19.6% | 13.8% |
| Age 35 to 44 | 13.9% | 11.2% | 12.9% |
| Age 45 to 54 | 12.0% | 6.9% | 12.6% |
| Age 55 to 59 | 7.8% | 5.4% | 6.7% |
| Age 60 to 64 | 6.7% | 3.0% | 6.3% |
| Age 65 to 74 | 10.7% | 11.8% | 9.6% |
| Age 75 to 84 | 6.3% | 3.7% | 4.5% |
| Age 85 and over | 1.0% | 1.4% | 1.9% |
| space1 | | | |
| Race | | | |
| | Adams, NY | Carthage, NY | United States |
| White | 92.6% | 82.3% | 59.4% |
| Black | 0.4% | 2.5% | 12.2% |
| Asian | 0.2% | 0.1% | 5.6% |
| Native American | 0.3% | 0.0% | 0.6% |
| Hawaiian, Pacific Islander | 0.0% | 0.0% | 0.2% |
| Other | 0.0% | 0.4% | 0.4% |
| Two or More Races | 3.4% | 9.5% | 3.2% |
| Hispanic | 2.9% | 5.1% | 18.4% |
| space2 | | | |
| Marriage & Family | | | |
| | Adams, NY | Carthage, NY | United States |
| Married Population | 56.0% | 57.6% | 49.8% |
| Currently Married | 53.5% | 52.5% | 48.0% |
| Married but Separated | 2.5% | 5.1% | 1.8% |
| Single Population | 44.0% | 42.4% | 50.2% |
| Never Married | 23.0% | 26.4% | 33.8% |
| Divorced | 13.7% | 10.6% | 10.8% |
| Widowed | 7.2% | 5.4% | 5.6% |
| space5 | | | |
| Household Size | 2.42 | 2.41 | 2.60 |
| Households | 2,084 | 1,355 | 124,010,992 |
| Family Households | 1,339 | 886 | 80,755,759 |
| Married couple, w/children | 34.7% | 28.2% | 30.5% |
| Married couple, no children | 43.8% | 40.4% | 42.9% |
| Non Family Households | 745 | 469 | 43,255,233 |
| Single householder, w/children | 15.4% | 26.6% | 15.8% |
| Single householder, no children | 6.0% | 4.7% | 10.8% |