What is the geometric mean?
Q: What is the geometric mean?
A: The geometric mean is a number used to represent a set of numbers. It is calculated by taking the n-th root of the product of these numbers.
Q: How do you calculate the geometric mean?
A: To calculate the geometric mean, take the n-th root of the product of all given numbers in a set.
Q: What is usually referred to when people talk about "mean" or "average"?
A: When people talk about "mean" or "average", they are usually referring to the arithmetic mean.
Q: Is the geometric mean always smaller than the arithmetic mean?
A: Yes, generally speaking, the geometric mean is almost always smaller than its corresponding arithmetic mean. In some cases it can be equal.
Q: Can you calculate a geometric mean if one of its numbers is zero?
A: No, because there's a product involved in calculating it, it does not make sense to calculate a geometric mean if one of its numbers is zero.
Q: Does it make sense to calculate a geometric mean when one of its numbers is negative?
A: Generally speaking, no - it doesn't make much sense to calculate a geomtric means when one of its numbers is negative.
Q: Is it possible to use this method for complex numbers?
A; No - calculating roots with complex numbers has more than one result so this method cannot be used for them.
