This is due to the fact that the product of the values will become negative, and we won’t be able to determine what the cause of a negative product is because it won’t have a root. The calculation cannot be performed if there are an odd number of negative values. The geometric mean is not appropriate to use if it is infinity, which it is if any value in a series is 0. However, when all of the values in a series are the same, the geometric mean and the arithmetic mean will be equal. CONCLUSIONįor any given set of positive numbers, the geometric mean will be lower than the arithmetic mean.
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