Woodson County (standard abbreviation: WO) is a county located in the U.S. state of Kansas. As of the 2010 census, the county population was 3,309. Its county seat is Yates Center.
According to the U.S. Census Bureau, the county has a total area of 505 square miles (1,310 km), of which 498 square miles (1,290 km) is land and 7.4 square miles (19 km) (1.5%) is water.
As of the census of 2000, there were 3,788 people, 1,642 households, and 1,052 families residing in the county. The population density was 8 people per square mile (3/km²). There were 2,076 housing units at an average density of 4 per square mile (2/km²). The racial makeup of the county was 96.96% White, 0.82% Black or African American, 0.87% Native American, 0.05% Asian, 0.24% from other races, and 1.06% from two or more races. 1.37% of the population were Hispanic or Latino of any race.
There were 1,642 households out of which 25.80% had children under the age of 18 living with them, 53.80% were married couples living together, 7.40% had a female householder with no husband present, and 35.90% were non-families. 33.30% of all households were made up of individuals and 19.40% had someone living alone who was 65 years of age or older. The average household size was 2.24 and the average family size was 2.83.
In the county, the population was spread out with 21.70% under the age of 18, 7.40% from 18 to 24, 22.10% from 25 to 44, 23.90% from 45 to 64, and 24.80% who were 65 years of age or older. The median age was 44 years. For every 100 females there were 96.80 males. For every 100 females age 18 and over, there were 96.80 males.
The median income for a household in the county was $25,335, and the median income for a family was $31,369. Males had a median income of $23,950 versus $16,135 for females. The per capita income for the county was $14,283. About 10.20% of families and 13.20% of the population were below the poverty line, including 17.20% of those under age 18 and 13.20% of those age 65 or over.