|Total||1.9 sq mi (4.8 km2)|
|Land||1.9 sq mi (4.8 km2)|
|Water||0.0 sq mi (0.0 km2)|
|Elevation||394 ft (120 m)|
|Density||248.2/sq mi (95.8/km2)|
|Time zone||Central (CST) (UTC-6)|
|Summer (DST)||CDT (UTC-5)|
|GNIS feature ID||1329882|
The town was established in 1876.
Avinger is located at .(32.898288, -94.554464)
According to the United States Census Bureau, the town has a total area of 1.9 square miles (4.9 km2), all of it land.
As of the census of 2000, there were 464 people, 203 households, and 132 families residing in the town. The population density was 248.2 people per square mile (95.8/km ). There were 236 housing units at an average density of 126.3 per square mile (48.7/km ). The racial makeup of the town was 75.43% White, 22.63% African American, 0.43% from other races, and 1.51% from two or more races. Hispanic or Latino of any race were 1.94% of the population.
There were 203 households out of which 30.5% had children under the age of 18 living with them, 43.8% were married couples living together, 14.3% had a female householder with no husband present, and 34.5% were non-families. 32.0% of all households were made up of individuals and 16.3% had someone living alone who was 65 years of age or older. The average household size was 2.29 and the average family size was 2.86.
In the town the population was spread out with 24.8% under the age of 18, 7.8% from 18 to 24, 21.1% from 25 to 44, 25.9% from 45 to 64, and 20.5% who were 65 years of age or older. The median age was 42 years. For every 100 females there were 86.3 males. For every 100 females age 18 and over, there were 84.7 males.
The median income for a household in the town was $20,809, and the median income for a family was $24,063. Males had a median income of $30,972 versus $16,875 for females. The per capita income for the town was $11,736. About 28.8% of families and 27.3% of the population were below the poverty line, including 34.1% of those under age 18 and 16.8% of those age 65 or over.