# HARMEAN

The HARMEAN function calculates the harmonic mean of a set of values. It is particularly useful in situations where averaging rates or ratios is required, giving more weight to lower values in the dataset.

## Syntax

=HARMEAN(`number1`

, `number2`

, ..., `number255`

)

`number1` | number2 | ... number255 | Numeric values for which you want to calculate the harmonic mean. You can input up to 255 values. |

## About HARMEAN

When you need to compute the harmonic mean of a series of values in Excel, the HARMEAN function comes to your aid. It is an essential tool for situations where you want to determine an average that places more emphasis on lower values in the dataset, making it suitable for various analytical and statistical applications. The harmonic mean is calculated as the reciprocal of the arithmetic mean of the reciprocals of the given numbers.

To use HARMEAN effectively, you simply input the numeric values for which you wish to calculate the harmonic mean. Excel then performs the necessary computations behind the scenes, providing you with the final harmonic mean value. This function is handy for financial analysts, statisticians, and researchers looking to analyze data sets with varying rates or ratios.

HARMEAN offers a unique perspective on averaging and can be a valuable addition to your Excel arsenal when dealing with datasets where each value's impact should be inversely proportional to its magnitude.

## Examples

Suppose you want to calculate the harmonic mean of the numbers 2, 4, 8, and 16. The HARMEAN formula would be:

=HARMEAN(2, 4, 8, 16)

This will return the harmonic mean value of the given numbers.

If you have a dataset with various ratios or rates, such as 0.5, 0.25, 0.1, and 0.05, and you need to find the harmonic mean, you can use the HARMEAN function like this:

=HARMEAN(0.5, 0.25, 0.1, 0.05)

Excel will calculate the harmonic mean based on the provided values.

## Questions

**How does the HARMEAN function calculate the harmonic mean of a dataset?**

The HARMEAN function calculates the harmonic mean by finding the reciprocal of the arithmetic mean of the reciprocals of the given numbers. It emphasizes lower values in the dataset.

**In what scenarios is the harmonic mean calculated using the HARMEAN function particularly useful?**

The HARMEAN function is especially useful when dealing with datasets where averaging rates or ratios is required, giving more importance to lower values. It is beneficial in analytical and statistical applications that involve inverse proportional impact based on value magnitudes.

**Can I input more than 255 values in the HARMEAN function?**

No, the HARMEAN function in Excel allows you to input up to 255 numeric values for calculating the harmonic mean. If you need to include more values, consider splitting the dataset into smaller groups and calculating the harmonic mean for each group.

## Related functions

AVERAGE
AVERAGEA
AVERAGEIF
AVERAGEIFS
GEOMEAN
MEDIAN