Manuals/calci/HARMEAN

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HARMEAN(n1,n2)


  • and 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 Harmonic mean<geometric mean<Arithmetic mean.
  • Harmonic mean is dfined by the reciprocal of the arithmetic mean of the reciprocals of a specified set of numbers.
  • The harmonic mean of a positive real numbers x1,x2,x3....xn>0 is defined by H=n/(1/x1+1/x2+...+1/xn)=n/summation (i=1 to n)(1/xi).
  • In HARMEAN(n1,n2,...) n1,n2.. are the positive real numbers, and here n1 is required.n2,n3..., 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 point<=0.

Examples

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

See Also


References

Correlation