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Black Rock is located at 36°6′28″N 91°5′56″W (36.107794, -91.098913).
According to the United States Census Bureau, the city has a total area of 3.4 square miles (8.8 km2), of which, 3.3 square miles (8.5 km2) of it is land and 0.2 square miles (0.52 km2) of it (4.37%) is water.
As of the census of 2000, there were 717 people, 284 households, and 199 families residing in the city. The population density was 218.6 people per square mile (84.4/km²). There were 334 housing units at an average density of 101.8 per square mile (39.3/km²). The racial makeup of the city was 99.02% White, 0.14% Native American, and 0.84% from two or more races. 0.28% of the population wereHispanic or Latino of any race.
There were 284 households out of which 30.6% had children under the age of 18 living with them, 56.0% were married couples living together, 11.3% had a female householder with no husband present, and 29.9% were non-families. 28.2% of all households were made up of individuals and 12.7% had someone living alone who was 65 years of age or older. The average household size was 2.52 and the average family size was 3.08.
In the city the population was spread out with 27.5% under the age of 18, 7.1% from 18 to 24, 24.0% from 25 to 44, 26.8% from 45 to 64, and 14.6% who were 65 years of age or older. The median age was 38 years. For every 100 females there were 98.1 males. For every 100 females age 18 and over, there were 95.5 males.
The median income for a household in the city was $22,407, and the median income for a family was $26,917. Males had a median income of $23,646 versus $16,806 for females. Theper capita income for the city was $11,731. About 19.1% of families and 19.4% of the population were below the poverty line, including 19.5% of those under age 18 and 20.9% of those age 65 or over.
Public education is provided for elementary and secondary school students from the Lawrence County School District, which includes Black Rock Elementary School and Black Rock High School.