This article describes the formula syntax and usage of the GEOMEAN function in Microsoft Excel.
Description
Returns the geometric mean of an array or range of positive data. For example, you can use GEOMEAN to calculate average growth rate given compound interest with variable rates.
Syntax
GEOMEAN(number1, [number2], ...)
The GEOMEAN function syntax has the following arguments:

Number1, number2, ... Number1 is required, subsequent numbers are optional. 1 to 255 arguments for which you want to calculate the mean. You can also use a single array or a reference to an array instead of arguments separated by commas.
Remarks

Arguments can either be numbers or names, arrays, or references that contain numbers.

Logical values and text representations of numbers that you type directly into the list of arguments are counted.

If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with the value zero are included.

Arguments that are error values or text that cannot be translated into numbers cause errors.

If any data point ≤ 0, GEOMEAN returns the #NUM! error value.

The equation for the geometric mean is:
Example
Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.
Data 

4 

5 

8 

7 

11 

4 

3 

Formula 
Description 
Result 
=GEOMEAN(A2:A8) 
Geometric mean of the data set contained in A2:A8. 
5.476987 