Statistical
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=HARMEAN()
Returns the harmonic mean of a data set. The harmonic mean is the reciprocal of the arithmetic mean of reciprocals.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=HARMEAN(number1, [number2], ...)
Hover argument names in the table for details.
Output typeNumber
Popularity6 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
number1 |
Number | Required | , number2, ... Number1 is required, subsequent numbers are optional. 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. |
▣ Examples
▦ Data
| Cell | Value |
|---|---|
A2 |
4 |
A3 |
5 |
A4 |
8 |
A5 |
7 |
A6 |
11 |
A7 |
4 |
A8 |
3 |
A9 |
4 |
A10 |
5 |
A11 |
8 |
A12 |
7 |
A13 |
11 |
A14 |
4 |
A15 |
3 |
Harmonic mean of the data set in A2:A8.
=HARMEAN(A2:A8)
Result:
5.028376
§ 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:
✦ Tips
- 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.
- The equation for the harmonic mean is:
⚠ Common Errors
#NUM!
If any data point ≤ 0, HARMEAN returns the #NUM! error value.
Fix: Correct the input value
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