As of the census of 2000, there were 1,193 people, 509 households, and 327 families residing in the county. The was 1 people per square mile (0/km). There were 614 housing units at an average density of 1 per square mile (0/km). The racial makeup of the county was 95.81% White, 2.43% Native American, 0.08% Pacific Islander, 0.17% from other races, and 1.51% from two or more races. 0.34% of the population were Hispanic or Latino of any race.

There were 509 households out of which 29.30% had children under the age of 18 living with them, 53.20% were married couples living together, 7.50% had a female householder with no husband present, and 35.60% were non-families. 33.20% of all households were made up of individuals and 15.10% had someone living alone who was 65 years of age or older. The average household size was 2.34 and the average family size was 2.98.

In the county, the population was spread out with 26.20% under the age of 18, 6.20% from 18 to 24, 25.50% from 25 to 44, 23.90% from 45 to 64, and 18.20% who were 65 years of age or older. The median age was 41 years. For every 100 females there were 103.90 males. For every 100 females age 18 and over, there were 102.80 males.

The median income for a household in the county was $30,288, and the median income for a family was $37,500. Males had a median income of $23,289 versus $17,143 for females. The per capita income for the county was $15,896. About 11.90% of families and 15.80% of the population were below the poverty line, including 27.60% of those under age 18 and 7.10% of those age 65 or over.

Draper