# HARMEAN

Returns the harmonic mean of a data set. The harmonic mean is the reciprocal of the arithmetic mean of reciprocals.

**Syntax**

**HARMEAN**(**number1**,number2, ...)

**Number1**,number2, ... are 1 to 30 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**

- The arguments must be either numbers or names, arrays, or references that contain numbers.
- 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.
- If any data point £ 0, HARMEAN returns the #NUM! error value.
- The harmonic mean is always less than the geometric mean, which is always less than the arithmetic mean.
- The equation for the harmonic mean is:

**Example**

`HARMEAN(4,5,8,7,11,4,3)`

equals 5.028376