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There were 4,065 households out of which 28.40% had children under the age of 18 living with them, 56.70% were married couples living together, 6.70% had a female householder with no husband present, and 33.40% were non-families. 28.80% of all households were made up of individuals and 12.10% had someone living alone who was 65 years of age or older. The average household size was 2.32 and the average family size was 2.86.
The county population contained 24.00% under the age of 18, 5.70% from 18 to 24, 26.10% from 25 to 44, 27.30% from 45 to 64, and 16.80% who were 65 years of age or older. The median age was 42 years. For every 100 females, there were 100.40 males. For every 100 females age 18 and over, there were 97.30 males.
The median income for a household in the county was $32,139, and the median income for a family was $38,405. Males had a median income of $30,226 versus $19,945 for females. The per capita income for the county was $17,204. About 8.20% of families and 11.60% of the population were below the poverty line, including 14.30% of those under age 18 and 8.80% of those age 65 or over.
As of the 2010 United States Census, there were 10,078 people, 4,571 households, and 2,884 families residing in the county. The population density was 4.9 inhabitants per square mile (1.9/km2). There were 6,441 housing units at an average density of 3.1 per square mile (1.2/km2). The racial makeup of the county was 97.2% white, 0.8% American Indian, 0.3% black or African American, 0.2% Asian, 0.4% from other races, and 1.0% from two or more races. Those of Hispanic or Latino origin made up 1.9% of the population. In terms of ancestry, 32.3% were German, 16.2% were Irish, 14.5% were English, 12.6% were American, and 6.6% were Norwegian.
Of the 4,571 households, 23.6% had children under the age of 18 living with them, 53.4% were married couples living together, 6.1% had a female householder with no husband present, 36.9% were non-families, and 31.2% of all households were made up of individuals. The average household size was 2.19 and the average family size was 2.74. The median age was 48.1 years.
The median income for a household in the county was $49,010 and the median income for a family was $59,823. Males had a median income of $41,241 versus $26,150 for females. The per capita income for the county was $24,983. About 8.1% of families and 12.2% of the population were below the poverty line, including 14.1% of those under age 18 and 11.1% of those age 65 or over.
During the early history of Carbon County, coal mining was the predominant industry. The current economy relies on agriculture, recreation, and tourism.
In 2009 the top employers were Beartooth Hospital & Health Center, Red Lodge Mountain, and the Red Lodge Pizza Company.