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 harmonic mean is always less than the geometric mean, which is always less than the arithmetic mean.
  • 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, HARMEAN returns the #NUM! error value.
  • The equation for the harmonic mean is:

Equation

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow to copy an example

  • Create a blank workbook or worksheet.
  • Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  • Press CTRL+C.
  • In the worksheet, select cell A1, and press CTRL+V.
  • To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
 
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Data
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Formula Description (Result)
=HARMEAN(A2:A8) Harmonic mean of the data set above (5.028376)
 
 
Applies to:
Excel 2003