Transforming a stimulus scale shifts where means but not medians fall
Evidence
In the upper part, the arithmetic mean lies between the sixth and the seventh data point, in the lower part however between the fifth and the sixth data point. As concerns the geometric mean, in the upper part it is situated between the fifth and the sixth data point whereas in the lower part between the third and the fourth data point. — Professor Dr.-Ing. Hugo Fastl, Professor Dr.-Ing. Eberhard, Psychoacoustics- Facts and Models, 143