Geometric mean correctly averages multiplicative processes (e.g., compound growth rates) by taking the nth root of the product, avoiding bias from arithmetic mean in ratio contexts.
Explanation:
For an even number of ordered observations, the median is the arithmetic mean of the two central values, ensuring it represents the center of the distribution.
Explanation:
Mean is linear: if x̄ is original mean, new mean = Σ(kx)/n = kΣx/n = kx̄. This property is useful for unit conversions (e.g., meters to centimeters).
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