As of the census of 2000, there were 10,620 people, 3,581 households, and 2,614 families residing in the county. The population density was 4 people per square mile (2/km²). There were 4,044 housing units at an average density of 2 per square mile (1/km²). The racial makeup of the county was 40.93% White, 0.05% Black or African American, 55.75% Native American, 0.43% Asian, 0.05% Pacific Islander, 0.25% from other races, and 2.53% from two or more races. 1.23% of the population were Hispanic or Latino of any race. 12.6% were of Norwegian and 11.5% German ancestry according to Census 2000. 94.8% spoke English and 3.4% Dakota as their first language.
There were 3,581 households out of which 40.50% had children under the age of 18 living with them, 47.20% were married couples living together, 18.90% had a female householder with no husband present, and 27.00% were non-families. 23.60% of all households were made up of individuals and 10.30% had someone living alone who was 65 years of age or older. The average household size was 2.89 and the average family size was 3.40.
In the county the population was spread out with 34.60% under the age of 18, 7.90% from 18 to 24, 25.80% from 25 to 44, 20.20% from 45 to 64, and 11.60% who were 65 years of age or older. The median age was 32 years. For every 100 females there were 98.30 males. For every 100 females age 18 and over, there were 93.70 males.
The median income for a household in the county was $24,834, and the median income for a family was $27,833. Males had a median income of $25,177 versus $19,728 for females. The per capita income for the county was $11,347. About 27.60% of families and 32.40% of the population were below the poverty line, including 41.60% of those under age 18 and 15.10% of those age 65 or over.