Linden was established in 1840, forming around a downtown at the intersection of Broad Street and Bridge Street. Since then the city has experienced growth over the years and had a population of 2, 861 as of the 2000 census. There are approximately 1,165 households and 822 families residing in the city.

Out of the 1,165 households, 30.8% had children under the age of 18 living with them, 59.7% were married couples living together, 8.3% had a female householder with no husband present, and 29.4% were non-families. 24.7% of all households were made up of individuals and 12.6% had someone living alone who was 65 years of age or older. The average household size was 2.45 and the average family size was 2.92.

The city population is very diverse, with 25% under the age of 18, 6.2% from 18 to 24, 30% from 25 to 44, 22.2% from 45 to 64, and 16.7% who were 65 years or older. The median age was 38 years.

Additionally, the median income for a household in the city was $50,932, and the median income for a family was $57,798.

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