As of the 2010 United States Census, there were 5,301 people, 1,730 households, and 1,239 families in the county. The population density was . There were 2,002 housing units at an average density of . The racial makeup of the county was 74.9% American Indian, 21.0% white, 0.2% Asian, 0.1% black or African American, 0.2% from other races, and 3.6% from two or more races. Those of Hispanic or Latino origin made up 1.8% of the population. In terms of ancestry, 13.2% were German, 6.5% were Irish, and 0.6% were American.