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#reading-8-statistical-concepts-and-market-returns

Question

The geometric mean has two important properties:

It exists [...]
It is always less than the arithmetic mean if values in the data set are not equal.

Answer

only if all the observations are greater than or equal to zero.

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Subject 4. Measures of Center Tendency
s: The mean can be affected by extremes, that is, unusually large or small values. The mean cannot be determined for an open-ended data set (i.e., n is unknown). Geometric Mean <span>The geometric mean has three important properties: It exists only if all the observations are greater than or equal to zero. In other words, it cannot be determined if any value of the data set is zero or negative. If values in the data set are all equal, both the arithmetic and geometric means will be equal to that value. It is always less than the arithmetic mean if values in the data set are not equal. It is typically used when calculating returns over multiple periods. It is a better measure of the compound growth rate of an investment. When returns are variable by perio

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status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
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