HARMEAN function

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 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

  • 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.

How to copy an example

  1. Create a blank workbook or worksheet.

  2. 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

  3. Press CTRL+C.

  4. In the worksheet, select cell A1, and press CTRL+V.

  5. 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.

1

2

3

4

5

6

7

8

A

Data

4

5

8

7

11

4

3

Formula

Description (Result)

=HARMEAN(A2:A8)

Harmonic mean of the data set above (5.028376)

Applies To: Excel 2007



Was this information helpful?

Yes No

How can we improve it?

255 characters remaining

To protect your privacy, please do not include contact information in your feedback. Review our privacy policy.

Thank you for your feedback!

Support resources

Change language