As of the census of 2010, there were 175 people, 70 households, and 50 families residing in the city. The population density was 41.0 inhabitants per square mile (15.8/km2). There were 86 housing units at an average density of 20.1 per square mile (7.8/km2). The racial makeup of the city was 96.0% White, 0.6% Native American, 1.7% from other races, and 1.7% from two or more races. Hispanic or Latino of any race were 6.9% of the population. There were 70 households of which 37.1% had children under the age of 18 living with them, 57.1% were married couples living together, 8.6% had a female householder with no husband present, 5.7% had a male householder with no wife present, and 28.6% were non-families. 24.3% of all households were made up of individuals and 17.1% had someone living alone who was 65 years of age or older. The average household size was 2.50 and the average family size was 2.88. The median age in the city was 34.8 years. 29.7% of residents were under the age of 18; 5.1% were between the ages of 18 and 24; 24.6% were from 25 to 44; 25.2% were from 45 to 64; and 15.4% were 65 years of age or older. The gender makeup of the city was 47.4% male and 52.6% female. Alexander was platted in 1885, not long after the Central Railroad of Iowa had been built through the territory.
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