A measure of central position The geometric mean of n quantities equals the n th root of the product of the quantities
The antilog (base 10) of the arithmetic mean of the sample result logarithm (base 10) (3)
The geometric mean of n numbers {x1, x2, x3, , xn} is the nth root of their product
The appropriate measure of central tendency on a multiply-divide scale On the Standard Celeration Chart you derive a geometric mean by multiplying N number of frequencies and then taking the Nth root of that
For any two positive numbers a and b, the geometric mean of a and b is the positive number x such that
This is the nth root of the product of the data values; it can be obtained by exponentiating the arithmetic mean of the logarithms of the data values It is useful for finding average rates of growth (e g , interest)
If a, b, and x are positive numbers with a\x=x\b, then x is the geometric mean between a and b
A mean of n objects that is computed by taking the nth root of the product of the n terms
The nth root of the product of n observations It is the appropriate mean to use when averaging annual rates of return, compounded annually, over time The geometric mean will always be less than, or equal to, the arithmetic mean
The nth root of the product of n numbers It is used as a measure of the compound rate of return over time
A statistic calculated by multiplying n data values together and taking the n-th root of the result It is often used as a measure of central tendency for positively skewed distributions The geometric mean may also be calculated by computing the arithmetic mean of the logarithms of the data values and taking the inverse logarithm of the result