Wall is located at (43.991559, -102.240956).
According to the United States Census Bureau, the town has a total area of 2.1 square miles (5.3 km²), of which, 2.0 square miles (5.2 km²) of it is land and 0.04 square miles (0.1 km²) of it (1.94%) is water.
There were 349 households out of which 28.1% had children under the age of 18 living with them, 51.3% were married couples living together, 7.2% had a female householder with no husband present, and 39.0% were non-families. 35.0% of all households were made up of individuals and 16.6% had someone living alone who was 65 years of age or older. The average household size was 2.31 and the average family size was 3.03.
In the town the population was spread out with 25.9% under the age of 18, 7.9% from 18 to 24, 20.5% from 25 to 44, 27.5% from 45 to 64, and 18.1% who were 65 years of age or older. The median age was 42 years. For every 100 females there were 88.9 males. For every 100 females age 18 and over, there were 91.8 males.
The median income for a household in the town was $36,563, and the median income for a family was $45,417. Males had a median income of $29,286 versus $19,821 for females. The per capita income for the town was $20,848. About 5.8% of families and 8.7% of the population were below the poverty line, including 13.4% of those under age 18 and 12.8% of those age 65 or over.