2000 census
At the 2000 census, [13] there were 6,786 people, 2,769 households and 1,938 families living in the county. The population density was 30 people per square mile (12 people/km2). There were 3,280 housing units at an average density of 15 units per square mile (5.8/km2). The racial makeup of the county was 97.91% White, 0.49% Black or African American, 0.24% Native American, 0.07% Asian, 0.01% Pacific Islander, 0.34% from other races, and 0.94% from two or more races. 0.37% of the population were Hispanic or Latino of any race.
There were 2,769 households, of which 31.00% had children under the age of 18 living with them, 55.10% were married couples living together, 11.00% had a female householder with no husband present, and 30.00% were non-families. 27.70% of all households were made up of individuals, and 13.50% had someone living alone who was 65 years of age or older. The average household size was 2.39 and the average family size was 2.91.
23.10% of the population were under the age of 18, 8.80% from 18 to 24, 26.90% from 25 to 44, 25.50% from 45 to 64, and 15.70% who were 65 years of age or older. The median age was 39 years. For every 100 females there were 95.10 males. For every 100 females age 18 and over, there were 94.30 males.
The median household income was $19,760, which was the lowest median household income of any county in Tennessee, [14] and the 27th lowest in the United States. The median family income was $25,372. Males had a median income of $23,150 and females $18,199. The per capita income was $11,986. About 25.30% of families and 29.40% of the population were below the poverty line, including 37.50% of those under age 18 and 30.70% of those age 65 or over.
The county as of the fiscal year 2020, was designated as an "economically distressed" area by the state government, [15] and is one of the poorest in the state. Hancock County is estimated to experience a massive population decline. [16]
United States
Tennessee 
