As of the census[12] of 2010, there were 1,534 people, 595 households, and 397 families living in the city. The population density was 1,534.0 inhabitants per square mile (592.3/km2). There were 649 housing units at an average density of 649.0 per square mile (250.6/km2). The racial makeup of the city was 98.6% White, 0.1% African American, 0.1% Native American, 0.4% Asian, and 0.8% from two or more races. Hispanic or Latino of any race were 0.8% of the population.
There were 595 households, of which 35.0% had children under the age of 18 living with them, 54.1% were married couples living together, 9.1% had a female householder with no husband present, 3.5% had a male householder with no wife present, and 33.3% were non-families. 27.2% of all households were made up of individuals, and 14.1% had someone living alone who was 65 years of age or older. The average household size was 2.49 and the average family size was 3.07.
The median age in the city was 38.5 years. 26.9% of residents were under the age of 18; 6.1% were between the ages of 18 and 24; 25.5% were from 25 to 44; 24.9% were from 45 to 64; and 16.7% were 65 years of age or older. The gender makeup of the city was 48.7% male and 51.3% female.
2000 census
As of the census[13] of 2000, there were 1,545 people, 608 households, and 395 families living in the city. The population density was 1,522.8 inhabitants per square mile (588.0/km2). There were 660 housing units at an average density of 650.5 per square mile (251.2/km2). The racial makeup of the city was 99.29% White, 0.13% African American, 0.13% Native American, 0.13% Asian, 0.13% from other races, and 0.19% from two or more races. Hispanic or Latino of any race were 0.65% of the population.
There were 608 households, out of which 32.4% had children under the age of 18 living with them, 53.8% were married couples living together, 8.6% had a female householder with no husband present, and 35.0% were non-families. 32.2% of all households were made up of individuals, and 18.1% had someone living alone who was 65 years of age or older. The average household size was 2.43 and the average family size was 3.09.
Age spread: 27.1% under the age of 18, 6.1% from 18 to 24, 27.5% from 25 to 44, 18.2% from 45 to 64, and 21.1% who were 65 years of age or older. The median age was 38 years. For every 100 females, there were 90.0 males. For every 100 females age 18 and over, there were 79.9 males.
The median income for a household in the city was $35,455, and the median income for a family was $44,375. Males had a median income of $30,347 versus $20,625 for females. The per capita income for the city was $18,709. About 5.6% of families and 9.5% of the population were below the poverty line, including 10.0% of those under age 18 and 11.6% of those age 65 or over.
^"Station: Logan, IA". U.S. Climate Normals 2020: U.S. Monthly Climate Normals (1991-2020). National Oceanic and Atmospheric Administration. Retrieved November 14, 2021.
