| | Eureka, NC | Deming, NM | United States |
| Population | 183 | 14,730 | 329,725,481 |
| Female Population | 61.8% | 50.2% | 50.5% |
| Male Population | 38.3% | 49.8% | 49.5% |
| Median Age | 49.8 | 37 | 38.4 |
| space3 | | | |
| Population - 2010 | 198 | 14,800 | 309,327,143 |
| Population - 2000 | 244 | 14,116 | 285,036,114 |
| Population - 1990 | 282 | 10,970 | 251,960,433 |
| Pop. 2000 to Now | -18.0% | -0.9% | 15.6% |
| Pop. 1990 to Now | -29.1% | 27.5% | 30.8% |
| space4 | | | |
| Population Density | 535.1 | 881.9 | 93.4 |
| Land Area | 0.3 | 16.7 | 3,531,905.4 |
| Water Area | 0.0 | 0.0 | 264,836.8 |
| space | | | |
| Est. Total Population By Age | | | |
| | Eureka, NC | Deming, NM | United States |
| Age 0 to 4 | 8.2% | 8.7% | 5.9% |
| Age 5 to 9 | 1.1% | 6.3% | 6.1% |
| Age 10 to 14 | 3.3% | 6.8% | 6.6% |
| Age 15 to 17 | 7.1% | 4.5% | 3.9% |
| Age 18 to 20 | 1.6% | 3.0% | 4.0% |
| Age 21 to 24 | 2.2% | 4.6% | 5.2% |
| Age 25 to 34 | 12.0% | 13.3% | 13.8% |
| Age 35 to 44 | 12.0% | 9.6% | 12.9% |
| Age 45 to 54 | 10.4% | 9.3% | 12.6% |
| Age 55 to 59 | 3.3% | 6.5% | 6.7% |
| Age 60 to 64 | 12.0% | 5.6% | 6.3% |
| Age 65 to 74 | 14.2% | 11.6% | 9.6% |
| Age 75 to 84 | 5.5% | 6.8% | 4.5% |
| Age 85 and over | 7.1% | 3.4% | 1.9% |
| space1 | | | |
| Race | | | |
| | Eureka, NC | Deming, NM | United States |
| White | 80.3% | 23.1% | 59.4% |
| Black | 13.1% | 1.9% | 12.2% |
| Asian | 0.0% | 1.7% | 5.6% |
| Native American | 0.0% | 1.1% | 0.6% |
| Hawaiian, Pacific Islander | 0.0% | 0.0% | 0.2% |
| Other | 0.0% | 0.0% | 0.4% |
| Two or More Races | 0.5% | 0.1% | 3.2% |
| Hispanic | 6.0% | 72.0% | 18.4% |
| space2 | | | |
| Marriage & Family | | | |
| | Eureka, NC | Deming, NM | United States |
| Married Population | 45.6% | 42.0% | 49.8% |
| Currently Married | 41.9% | 40.3% | 48.0% |
| Married but Separated | 3.8% | 1.6% | 1.8% |
| Single Population | 54.4% | 58.0% | 50.2% |
| Never Married | 25.6% | 33.1% | 33.8% |
| Divorced | 12.5% | 13.3% | 10.8% |
| Widowed | 16.3% | 11.7% | 5.6% |
| space5 | | | |
| Household Size | 2.05 | 2.52 | 2.60 |
| Households | 87 | 5,698 | 124,010,992 |
| Family Households | 50 | 2,935 | 80,755,759 |
| Married couple, w/children | 36.0% | 33.3% | 30.5% |
| Married couple, no children | 24.0% | 37.6% | 42.9% |
| Non Family Households | 37 | 2,763 | 43,255,233 |
| Single householder, w/children | 14.0% | 21.2% | 15.8% |
| Single householder, no children | 26.0% | 8.0% | 10.8% |