Monroe, IN has a population of 760 and is the 16,946th largest city in the United States. The population density is 1,206 per sq mi which is 572% higher than the Indiana average and 1231% higher than the national average. The median age in Monroe is 36 which is approximately 3% lower than the Indiana average of 37. In Monroe, 68% of the population over 15 years of age are married, 96% speak English and 3% speak Spanish. 83% of Monroe residents were born in Indiana, 17% were born out of state, 0% were born outside of the United States and 0% were foreign born.