According to the United States Census Bureau, the town has a total area of 36.8 square miles (95 km2), of which 36.5 square miles (95 km2) is land and 0.2 square miles (0.52 km2) (0.65%) is water.
Ogden is bordered on the north by the town of Parma, on the east by the town of Gates, on the west by the town of Sweden, and the south by the towns of Riga and Chili.
As of the census[6] of 2000, there were 18,492 people, 6,527 households, and 5,032 families residing in the town. The population density was 505.9 inhabitants per square mile (195.3/km2). There were 6,740 housing units at an average density of 184.4 per square mile (71.2/km2). The racial makeup of the town was 96.53% White, 1.35% African American, 0.21% Native American, 0.74% Asian, 0.03% Pacific Islander, 0.29% from other races, and 0.86% from two or more races. Hispanic or Latino of any race were 1.37% of the population.
There were 6,527 households, out of which 39.9% had children under the age of 18 living with them, 64.9% were married couples living together, 9.2% had a female householder with no husband present, and 22.9% were non-families. 18.4% of all households were made up of individuals, and 5.5% had someone living alone who was 65 years of age or older. The average household size was 2.78 and the average family size was 3.19.
In the town, the population was spread out, with 27.8% under the age of 18, 8.7% from 18 to 24, 30.2% from 25 to 44, 24.5% from 45 to 64, and 8.9% who were 65 years of age or older. The median age was 36 years. For every 100 females, there were 96.2 males. For every 100 females age 18 and over, there were 92.3 males.
The median income for a household in the town was $59,240, and the median income for a family was $64,606. Males had a median income of $46,145 versus $30,438 for females. The per capita income for the town was $23,587. About 2.0% of families and 2.7% of the population were below the poverty line, including 2.3% of those under age 18 and 2.6% of those age 65 or over.
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