As of the 2010 United States Census, there were 5,612 people, 2,347 households, and 1,614 families living in the county. The population density was . There were 2,695 housing units at an average density of . The racial makeup of the county was 96.2% white, 1.3% American Indian, 0.3% black or African American, 0.2% Pacific islander, 0.2% Asian, 0.3% from other races, and 1.5% from two or more races. Those of Hispanic or Latino origin made up 2.2% of the population. In terms of ancestry, 38.7% were German, 16.2% were English, 15.5% were Irish, 7.9% were Norwegian, 6.4% were Scottish, and 2.3% were American.