| | Worcester, NY | Lander, WY | United States |
| Population | 2,048 | 7,551 | 329,725,481 |
| Female Population | 53.2% | 52.6% | 50.5% |
| Male Population | 46.8% | 47.5% | 49.5% |
| Median Age | 46.4 | 37.8 | 38.4 |
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| Population - 2010 | 2,220 | 7,618 | 309,327,143 |
| Population - 2000 | 2,207 | 6,867 | 285,036,114 |
| Population - 1990 | 2,070 | 7,023 | 251,960,433 |
| Pop. 2000 to Now | -6.7% | 8.7% | 15.6% |
| Pop. 1990 to Now | -0.5% | 6.3% | 30.8% |
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| Population Density | 43.9 | 804.8 | 93.4 |
| Land Area | 46.7 | 9.4 | 3,531,905.4 |
| Water Area | 0.2 | 0.0 | 264,836.8 |
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| Est. Total Population By Age | | | |
| | Worcester, NY | Lander, WY | United States |
| Age 0 to 4 | 4.9% | 6.4% | 5.9% |
| Age 5 to 9 | 2.5% | 8.4% | 6.1% |
| Age 10 to 14 | 4.7% | 6.6% | 6.6% |
| Age 15 to 17 | 2.6% | 5.0% | 3.9% |
| Age 18 to 20 | 4.8% | 2.1% | 4.0% |
| Age 21 to 24 | 8.0% | 4.7% | 5.2% |
| Age 25 to 34 | 10.8% | 12.2% | 13.8% |
| Age 35 to 44 | 9.7% | 14.1% | 12.9% |
| Age 45 to 54 | 13.1% | 10.9% | 12.6% |
| Age 55 to 59 | 11.3% | 5.0% | 6.7% |
| Age 60 to 64 | 5.0% | 6.2% | 6.3% |
| Age 65 to 74 | 10.1% | 11.1% | 9.6% |
| Age 75 to 84 | 11.1% | 5.7% | 4.5% |
| Age 85 and over | 1.3% | 1.8% | 1.9% |
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| Race | | | |
| | Worcester, NY | Lander, WY | United States |
| White | 93.2% | 83.9% | 59.4% |
| Black | 0.3% | 0.5% | 12.2% |
| Asian | 0.0% | 0.2% | 5.6% |
| Native American | 0.5% | 6.4% | 0.6% |
| Hawaiian, Pacific Islander | 0.0% | 0.0% | 0.2% |
| Other | 0.0% | 0.0% | 0.4% |
| Two or More Races | 1.1% | 3.6% | 3.2% |
| Hispanic | 4.8% | 5.5% | 18.4% |
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| Marriage & Family | | | |
| | Worcester, NY | Lander, WY | United States |
| Married Population | 48.6% | 52.1% | 49.8% |
| Currently Married | 47.4% | 47.9% | 48.0% |
| Married but Separated | 1.2% | 4.1% | 1.8% |
| Single Population | 51.4% | 47.9% | 50.2% |
| Never Married | 29.1% | 31.1% | 33.8% |
| Divorced | 13.2% | 12.0% | 10.8% |
| Widowed | 9.2% | 4.8% | 5.6% |
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| Household Size | 2.72 | 2.55 | 2.60 |
| Households | 746 | 2,869 | 124,010,992 |
| Family Households | 505 | 1,700 | 80,755,759 |
| Married couple, w/children | 34.9% | 34.1% | 30.5% |
| Married couple, no children | 45.1% | 44.2% | 42.9% |
| Non Family Households | 241 | 1,169 | 43,255,233 |
| Single householder, w/children | 10.7% | 15.8% | 15.8% |
| Single householder, no children | 9.3% | 5.9% | 10.8% |