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For n positive values, how is the geometric mean formed?
AAdd the values and then divide by n
BAdd the logs and then divide by n
CMultiply the values and take the nth root
DMultiply the values and divide by n
Answer & Solution
Correct answer: C. Multiply the values and take the nth root
1. The arithmetic mean shares out the sum of the values; the geometric mean shares out their product.
2. The values are therefore multiplied together rather than added.
3. The nth root of that product is taken, so that n equal factors would rebuild the same product.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.5 Geometric Mean_
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