Manuals/calci/HARMEAN

HARMEAN(n1,n2,...)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_1,n_2,...} are the positive real numbers.

Description

• This function gives the Harmonic Mean of a given set of numbers.
• Harmonic mean is used to calculate the average of a set of numbers.
• The Harmonic mean is always the lowest mean.
• Normally Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Harmonic mean < Geometric mean < Arithmetic mean}
• Harmonic mean is defined as the reciprocal of the arithmetic mean by the reciprocals of a specified set of numbers.
• The harmonic mean of a positive real numbers Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x_1,x_2,x_3....x_n > 0} is defined by :

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle H=\frac {n}{(1/x_1+1/x_2+...+1/x_n)} } ie

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle H=\frac{n}{\sum_{i=1}^{n} \frac{1}{xi}}} .

• In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle HARMEAN(n_1,n_2,...), n_1,n_2..} are the positive real numbers, and here Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_1} is required. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_2,n_3...} , are optional.
• Also arguments can be numbers,names, arrays or references that contain numbers.
• We can give logical values and text representations of numbers directly.
• Suppose the arguments contains any text, logical values or empty cells like that values are ignored.
• This will give the result as error when

1.The arguments with the error values or the referred text couldn't translated in to numbers.
2.Also any data Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle point \le 0}
.

ZOS

• The syntax is to calculate HARMEAN in ZOS is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle HARMEAN(n_1,n_2,....)} .
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n_1,n_2,...} are the positive real numbers.
• For e.g.,HARMEAN(20..30,11..15,45.1..56.1..0.5)

Harmonic Mean

Examples

1. =HARMEAN(1,2,3,4,5) = 2.18978102189781
2. =HARMEAN(20,25,32,41) = 27.4649361523969
3. =HARMEAN(0.25,5.4,3.7,10.1,15.2) = 1.0821913906985883
4. =HARMEAN(3,5,0,2) = #ERROR
5. =HARMEAN(1,-2,4) = #ERROR

Related Videos

Harmonic Mean

See Also

• AVERAGE
• GEOMEAN

References

Harmonic mean

List of Main Z Functions

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