Final answer:
The highest peak in the mountain range with Mount Mitchell as its highest peak is the Appalachian Mountains.
Step-by-step explanation:
The mountain range with the highest peak being Mount Mitchell, or Attakulla in the original Cherokee language, which stands at 6,684 feet above sea level, is the Appalachian Mountains. The Appalachian Mountains extend from eastern Canada down to Alabama in the United States. They are one of the oldest mountain ranges in the world and are known for their diverse ecosystem and scenic beauty.