Manuals/calci/GEOMEAN

GEOMEAN(n1,n2,…)


  • are the positive real numbers.

Description

  • This function gives the Geometric Mean of an array or references.
  • For example, it is used to calculate average rate of growth of human population.
  • The Geometric Mean of two numbers is, the square root of their product.
  • The Geometric Mean of the three numbers is, the cube root of their product.
  • So the geometric mean of   numbers is defined as the   root of the product of the numbers.
  • In  ,   are the positive real numbers and   is required.   are optional.
  • The arguments can be numbers,names,arrays or references that contain numbers.
  • Also we can directly use logical values and text representations of numbers.
  • The values are ignored, when the argument contains logical values or empty cells.
  • The Geometric and Arithmetic Means are equal, when all the numbers in the given set are equal, otherwise the Geometric Mean of a data set is less than the data set's Arithmetic Mean.
  • The geometric mean of a data set   is given by:

 

  • This function will give the result as error when
1.Any one of the argument is non-numeric
2.Any one  
3.Any one of the references cannot be translated in to numbers.

Examples

  1. =GEOMEAN(3,27) = 9
  2. =GEOMEAN(2,4,8) = 4
  3. =GEOMEAN(3,5,8,10,12) = 6.786916380543178
  4. =GEOMEAN(-2,32) = NAN, because the value is < 0.

See Also

References