Question:
What is the geometric mean of 2, 4, and 8?
What is the geometric mean of 2, 4, and 8?
Show Hint
The geometric mean is useful for finding the average growth rate over time or for multiplying data points.
Updated On: Feb 18, 2026
- 4.67
- 3.43
- 4
- 4.5
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The Correct Option is B
Solution and Explanation
Step 1: Formula for geometric mean.
The geometric mean of \( n \) values \( x_1, x_2, \dots, x_n \) is given by:
\[
GM = \left( \prod_{i=1}^n x_i \right)^{\frac{1}{n}}
\]
Step 2: Apply the formula.
For the values 2, 4, and 8, the geometric mean is:
\[
GM = (2 \cdot 4 \cdot 8)^{\frac{1}{3}}
\]
\[
GM = (64)^{\frac{1}{3}} = 4
\]
Step 3: Conclusion.
The geometric mean of 2, 4, and 8 is 4, so the correct answer is (C).
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