G.M. of 2, 4, 8 is ______?
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Answer: B. 4
Explanation
The geometric mean multiplies all given values together before taking the nth root. Multiplying two by four and eight results in a product of sixty four. Taking the cube root of sixty four gives the correct geometric mean value four. Geometric means are specialized averages used primarily for growth rates and multiplicative processes. The nth root corresponds directly to the total count of numbers present in the dataset. Calculations involving geometric means require all numbers to share the same sign.
Economists rely on geometric means to calculate compound inflation rates over multiple years. Portfolio managers use this metric to evaluate average investment returns across volatile market periods. Biologists apply geometric means to model exponential population growth rates in microbiology. Option six represents the simple arithmetic mean instead of the proper geometric calculation. Option fourteen over three incorrectly applies a fractional arithmetic formula to the numbers. Option eight simply matches the maximum value rather than representing a calculated average.
- Subject
- Mathematics
- Category
- Statistics
- Topic
- —
- Difficulty
- medium
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