Maurice purchased a coin collection several years ago. Each year he has had the collection appraised by a reputable coin dealer. Maurice has calculated the yearly percentage gain or loss based on the appraisal, as shown below:

Year 1: 10%

Year 2: 5%

Year 3: 9%

Year 4: -5%

Year 5: 2%

Year 6: -3%

Year 7: 12%

What is the average (mean) return of the coin collection over the seven-year period?

Use the rate of return data provided by Maurice to calculate the geometric mean return. How does this compare to the mean return?