As of the 2010 United States Census, there were 6,486 people, 2,554 households, and 1,751 families in the county. The population density was . There were 2,824 housing units at an average density of . The racial makeup of the county was 81.0% white, 14.0% American Indian, 1.1% Asian, 0.5% black or African American, 0.7% from other races, and 2.7% from two or more races. Those of Hispanic or Latino origin made up 1.7% of the population. In terms of ancestry, 39.9% were German, 20.1% were Norwegian, 8.9% were Irish, 6.1% were Dutch, 5.1% were English, and 1.6% were American.