As of the 2000 census, there were 10,155 people, 4,201 households, and 2,844 families living in the county. The population density was 4 people per square mile (1/km2). There were 5,664 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 82.09% White, 0.84% Black or African American, 1.27% Native American, 0.80% Asian, 0.15% Pacific Islander, 12.11% from other races, and 2.75% from two or more races. 37.98% of the population were Hispanic or Latino of any race.