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.

Remarks

  • The arguments must be either numbers or column references that contain numbers.

  • If a column reference argument contains text, logical values, or is empty, those values are ignored; however, arguments with the value zero are included.

  • If any data point ≤ 0, HARMEAN returns the #NUM! error value.

  • The harmonic mean is always less than the geometric mean, which is always less than the arithmetic mean.

  • The equation for the harmonic mean is:

    Equation

Example

Col1

Col2

Col3

Col4

Col5

Col6

Col7

Formula

Description (Result)

4

5

8

7

11

4

3

=HARMEAN([Col1],[Col2],[Col3],[Col4],[Col5],[Col6],[Col7])

Harmonic mean of the data (5.028376)

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