Mean (2 of 4)
The geometric mean is the nth root of the product of the scores. Thus,
the geometric mean of the scores: 1, 2, 3, and 10 is the fourth root
of 1 x 2 x 3 x 10 which is the fourth root of 60 which equals 2.78.
The formula can be written as:
Geometric mean =
where ΠX means
to take the product of all the values of X.
The geometric mean can also be computed by:
- taking the logarithm of each number
- computing the arithmetic mean of the logarithms
- raising the base used to take the logarithms to the arithmetic mean.
The next page shows an example of this method using natural