 At the 2010 census Lucerne had a population of 3,067.The population density was 614.9 people per square mile (237.4/km²).The racial makeup of Lucerne was 2,581 (84.2%) White, 60 (2.0%) African American, 105 (3.4%) Native American, 26 (0.8%) Asian, 9 (0.3%) Pacific Islander, 94 (3.1%) from other races, and 192 (6.3%) from two or more races.