A free-standing wall includes concrete base blocks adjacent to each other forming a base course; a first set of concrete wall blocks stacked on the base course and on each other to form a first wall face; and a second set of concrete wall blocks stacked on the base course and on each other to form a second wall face that faces the opposite direction from the first wall face and that has the same number of courses as the first plurality of wall blocks. Methods of constructing the wall arrangement include laying the base blocks next to each other end to end; stacking individual blocks of a first set of blocks on the base course and then on each other to form a first wall face; stacking individual blocks of the second set of blocks on the base course and then on each other to form a second wall face that faces a direction opposite of the first wall face.