| | Madison, SD | Fayette, MO | United States |
| Population | 6,388 | 2,709 | 329,725,481 |
| Female Population | 48.6% | 43.6% | 50.5% |
| Male Population | 51.4% | 56.4% | 49.5% |
| Median Age | 36.2 | 24.9 | 38.4 |
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| Population - 2010 | 6,533 | 2,686 | 309,327,143 |
| Population - 2000 | 6,540 | 2,793 | 285,036,114 |
| Population - 1990 | 6,257 | 2,888 | 251,960,433 |
| Pop. 2000 to Now | 8.0% | -4.0% | 15.6% |
| Pop. 1990 to Now | 12.9% | -7.1% | 30.8% |
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| Population Density | 1,383.9 | 1,221.9 | 93.4 |
| Land Area | 4.6 | 2.2 | 3,531,905.4 |
| Water Area | 0.0 | 0.0 | 264,836.8 |
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| Est. Total Population By Age | | | |
| | Madison, SD | Fayette, MO | United States |
| Age 0 to 4 | 6.4% | 4.6% | 5.9% |
| Age 5 to 9 | 6.2% | 7.0% | 6.1% |
| Age 10 to 14 | 5.9% | 5.2% | 6.6% |
| Age 15 to 17 | 2.6% | 4.1% | 3.9% |
| Age 18 to 20 | 8.5% | 19.1% | 4.0% |
| Age 21 to 24 | 7.8% | 10.0% | 5.2% |
| Age 25 to 34 | 12.0% | 13.0% | 13.8% |
| Age 35 to 44 | 8.7% | 7.6% | 12.9% |
| Age 45 to 54 | 6.5% | 7.8% | 12.6% |
| Age 55 to 59 | 8.4% | 3.6% | 6.7% |
| Age 60 to 64 | 7.9% | 5.5% | 6.3% |
| Age 65 to 74 | 10.9% | 4.4% | 9.6% |
| Age 75 to 84 | 4.5% | 4.7% | 4.5% |
| Age 85 and over | 3.7% | 3.4% | 1.9% |
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| Race | | | |
| | Madison, SD | Fayette, MO | United States |
| White | 91.2% | 85.1% | 59.4% |
| Black | 0.2% | 12.6% | 12.2% |
| Asian | 0.0% | 0.3% | 5.6% |
| Native American | 2.2% | 0.4% | 0.6% |
| Hawaiian, Pacific Islander | 0.1% | 0.0% | 0.2% |
| Other | 0.0% | 0.0% | 0.4% |
| Two or More Races | 3.0% | 0.4% | 3.2% |
| Hispanic | 3.4% | 1.4% | 18.4% |
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| Marriage & Family | | | |
| | Madison, SD | Fayette, MO | United States |
| Married Population | 45.9% | 24.5% | 49.8% |
| Currently Married | 42.5% | 24.5% | 48.0% |
| Married but Separated | 3.4% | 0.0% | 1.8% |
| Single Population | 54.1% | 75.5% | 50.2% |
| Never Married | 37.6% | 58.3% | 33.8% |
| Divorced | 10.2% | 12.3% | 10.8% |
| Widowed | 6.2% | 4.8% | 5.6% |
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| Household Size | 2.40 | 3.19 | 2.60 |
| Households | 2,430 | 637 | 124,010,992 |
| Family Households | 1,386 | 421 | 80,755,759 |
| Married couple, w/children | 27.9% | 22.6% | 30.5% |
| Married couple, no children | 49.6% | 39.0% | 42.9% |
| Non Family Households | 1,044 | 216 | 43,255,233 |
| Single householder, w/children | 14.1% | 24.7% | 15.8% |
| Single householder, no children | 8.4% | 13.8% | 10.8% |