Excel HARMEAN Function
The HARMEAN function returns the harmonic mean of a supplied set of values. The harmonic mean is the reciprocal of the arithmetic mean of reciprocals.
Syntax
=HARMEAN(number1, [number2], ...)
Arguments
- number1 (required): The first positive number or range of positive numbers for which to calculate the harmonic mean.
- [number2], ... (optional): The second and up to 253 more positive numbers or ranges of positive numbers for which to calculate the harmonic mean.
Return Value
The HARMEAN function returns a positive numeric value.
Function Notes
- Arguments can be numbers, arrays, or references that contain numbers.
- HARMEAN ignores blank cells.
- If a text value is referenced by the HARMEAN function, HARMEAN will ignore it; If the text value is supplied directly to the HARMEAN (e.g., =HARMEAN(“kutools”)), the function will return the #VALUE! error.
- If a logical value is referenced by the HARMEAN function, HARMEAN will ignore it; If the logical value is supplied directly to the HARMEAN, the function will treat is as a number (TRUE=1, FALSE=0).
- If any supplied values are not positive (≤ 0), HARMEAN will return the #NUM! error value.
- If there are any error values in any of the arguments, HARMEAN will return the first error value.
- The equation for the harmonic mean is:
- √ Note: For more information about the harmonic mean, please view the Wikipedia Harmonic Mean Page.
Example
Supposing you have a table with numbers as shown below, to get the harmonic mean of the numbers, please copy or enter one of the formulas below in a blank cell, and press Enter to get the result:
=HARMEAN(5,2,1,11,11,8,50,50,1.5,5,6.5,9,4)
=HARMEAN({5,2,1;11,11,8;50,50;1.5,5;6.5,9,4})
Or, use cell references to make the formulas dynamic:
=HARMEAN(B3:D7)
=HARMEAN(B3:B7,C3:C7,D3:D7)
Related functions
The GEOMEAN function returns the geometric mean of an array or range of positive numbers. The geometric mean can be used for a set of numbers whose values are meant to be multiplied together or are exponential in nature, e.g., a set of growth figures.
The Excel TRIMMEAN function calculates mean (average) while excluding outliers. The number of data points to exclude is provided as a percentage.
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