Geometric Mean
What is the sample geometric mean of 1, 3, 9, 27, & 81?
Expand Hint
The sample geometric mean is:
$$$\sqrt[n]{X_1X_2X_3...X_n}$$$
where
$$X_1, X_2,...,X_n$$
represent the values of a random sample of
$$n$$
items or observations.
Hint 2
Multiply all of the terms together, then raise the product by
$$(1/n)$$
.
The sample geometric mean is:
$$$\sqrt[n]{X_1X_2X_3...X_n}$$$
where
$$X_1, X_2,...,X_n$$
represent the values of a random sample of
$$n$$
items or observations.
Thus,
$$$\sqrt[5]{1\cdot 3 \cdot 9\cdot 27 \cdot 81}=(59,049)^{1/5}=9$$$
9
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