The city has a museum housing the controversial Kensington Runestone, which is thought by some to indicate that Vikings had visited the area in the 14th century. Outside the museum stands Big Ole, a 25-foot-tall statue of a Viking originally built for the World's Fair in New York 1964. The city hosts the annual Vikingland Band Festival parade marching championship.
Alexandria is located near Interstate 94 (concurrent with U.S. Route 52 in this part of the state), along Minnesota State Highways 27 and 29. Lake Carlos State Park is ten miles north of Alexandria.
As of the census of 2000, there were 8,820 people, however the most recent count suggests a population upwards of 10,000, which is displayed on Alexandria's city limits signs. The census lists 4,047 households, and 2,011 families residing in the city. The population density was 992.5 people per square mile (383.1/km²). There were 4,311 housing units at an average density of 485.1/sq mi (187.2/km²). The racial makeup of the city was 97.94% White, 0.42% African American, 0.34% Native American, 0.57% Asian, 0.06% Pacific Islander, 0.18% from other races, and 0.50% from two or more races. Hispanic or Latino of any race were 0.80% of the population.
There were 4,047 households out of which 23.7% had children under the age of 18 living with them, 36.5% were married couples living together, 10.4% had a female householder with no husband present, and 50.3% were non-families. 41.1% of all households were made up of individuals and 19.3% had someone living alone who was 65 years of age or older. The average household size was 2.06 and the average family size was 2.81.
In the city the population was spread out with 20.0% under the age of 18, 15.7% from 18 to 24, 24.0% from 25 to 44, 16.7% from 45 to 64, and 23.5% who were 65 years of age or older. The median age was 37 years. For every 100 females there were 87.2 males. For every 100 females age 18 and over, there were 83.7 males.
The median income for a household in the city was $26,851, and the median income for a family was $38,245. Males had a median income of $27,871 versus $20,254 for females. The per capita income for the city was $16,085. About 7.8% of families and 13.3% of the population were below the poverty line, including 14.2% of those under age 18 and 15.7% of those age 65 or over.
Alexandria has an airport named Chandler Field. It is on the southwest edge of town.
Alexandria has two major state highways: Minnesota State Highways 27 and 29. Highway 27 connects Alexandria to Nelson, Osakis and to western Minnesota. Highway 29 connects Alexandria to Glenwood and Parkers Prairie. Alexandria is located near Interstate 94, which allows access to the Twin Cities and Fargo-Moorhead.