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As of the census of 2000, there are 5,905 people, 1,638 households, and 1,215 families residing in the city. The population density is 863.6/km² (2,239.1/mi²). There are 1,740 housing units at an average density of 254.5/km² (659.8/mi²). The racial makeup of the city is 94.53% White, 1.93% African American, 0.14% Native American, 2.08% Asian, 0.03% Pacific Islander, 0.32% from other races, and 0.97% from two or more races. 1.30% of the population are Hispanic or Latino of any race.
There are 1,638 households out of which 39.3% have children under the age of 18 living with them, 64.8% are married couples living together, 7.3% have a female householder with no husband present, and 25.8% are non-families. 21.2% of all households are made up of individuals and 7.4% have someone living alone who is 65 years of age or older. The average household size is 2.69 and the average family size is 3.14.
The city's age distribution, which is heavily influenced by its two postsecondary institutions (see Institutions section), is: 22.2% under the age of 18, 26.6% from 18 to 24, 28.0% from 25 to 44, 12.1% from 45 to 64, and 11.2% who are 65 years of age or older. The median age is 26 years. For every 100 females there are 99.0 males. For every 100 females age 18 and over, there are 98.1 males.
The median income for a household in the city is $31,500, and the median income for a family is $40,000. Males have a median income of $26,192 versus $25,362 for females. The per capita income for the city is $13,602. 11.5% of the population and 9.1% of families are below the poverty line. Out of the total people living in poverty, 9.9% are under the age of 18 and 9.1% are 65 or older.
Wilmore has two institutions of higher learning: Asbury College and Asbury Theological Seminary. While both are named after Francis Asbury, they are separate institutions. Given the size of the student bodies relative to the size of Wilmore, they have a significant role in the town.