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.
Remarks
-
The arguments must be either numbers or column references that contain numbers.
-
If a column reference argument contains text, logical values, or is empty, those values are ignored; however, arguments with the value zero are included.
-
If any data point ≤ 0, HARMEAN returns the #NUM! error value.
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The harmonic mean is always less than the geometric mean, which is always less than the arithmetic mean.
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The equation for the harmonic mean is:
Example
Col1 |
Col2 |
Col3 |
Col4 |
Col5 |
Col6 |
Col7 |
Formula |
Description (Result) |
4 |
5 |
8 |
7 |
11 |
4 |
3 |
=HARMEAN([Col1],[Col2],[Col3],[Col4],[Col5],[Col6],[Col7]) |
Harmonic mean of the data (5.028376) |