|Total||0.7 sq mi (1.9 km2)|
|Land||0.7 sq mi (1.9 km2)|
|Water||0.0 sq mi (0.0 km2)|
|Elevation||2,110 ft (643 m)|
|Density||1,900/sq mi (710/km2)|
|Time zone||Central (CST) (UTC-6)|
|Summer (DST)||CDT (UTC-5)|
|GNIS feature ID||1094528|
Laverne is located at .(36.708137, -99.897106)
According to the United States Census Bureau, the town has a total area of 0.7 square miles (1.8 km2), all of it land. Famous for oil and gas production, wheat and cattle.
As of the census of 2000, there were 1,097 people, 503 households, and 303 families residing in the town. The population density was 1,473.2 people per square mile (572.4/km ). There were 637 housing units at an average density of 855.5 per square mile (332.4/km ). The racial makeup of the town was 97.08% White, 0.73% Native American, 0.09% Asian, 1.37% from other races, and 0.73% from two or more races. Hispanic or Latino of any race were 3.65% of the population.
There were 503 households out of which 26.4% had children under the age of 18 living with them, 50.9% were married couples living together, 7.0% had a female householder with no husband present, and 39.6% were non-families. 38.0% of all households were made up of individuals and 21.7% had someone living alone who was 65 years of age or older. The average household size was 2.18 and the average family size was 2.89.
In the town the population was spread out with 23.6% under the age of 18, 7.2% from 18 to 24, 24.4% from 25 to 44, 21.1% from 45 to 64, and 23.6% who were 65 years of age or older. The median age was 41 years. For every 100 females there were 88.5 males. For every 100 females age 18 and over, there were 83.8 males.
The median income for a household in the town was $32,222, and the median income for a family was $38,984. Males had a median income of $31,667 versus $20,000 for females. The per capita income for the town was $20,424. About 8.9% of families and 13.0% of the population were below the poverty line, including 26.9% of those under age 18 and 3.5% of those age 65 or over.