A "Mean" Product

     My mother once taught in a small country three-room schoolhouse, where students of different age levels often had to study the same course together. For the course in American History, the kids in the 6th, 7th, and 8th grades were combined into one class. This means that their ages were between 10 and 14.

     If the product of their ages was 41,760,576, what was the average, or arithmetic mean, of their ages?


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