Muncie, Indiana, County Seat of Delaware County, derived its name from the Indian tribe Muncie who 160 years ago lived at the bank of the White River. Today's population is 50,000. Muncie is the trading center of approximately a half million people. M – Vocational and Physical Education Building. U – The Ball Memorial Statue. N – Court House. C - “Appeal to he Great Spirit,” Ball Memorial. I – Central High School. E – Arts Building.