Difference between revisions of "Manuals/calci/GEOMEAN"
Jump to navigation
Jump to search
(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> <font size="3"><font face="Times New Roman">'''GEOMEAN''' (n1, n2...)</font></font> <font size="3"><font face="Tim...") |
|||
| Line 1: | Line 1: | ||
| − | <div | + | <div style="font-size:30px">'''GEOMEAN(n1,n2,…)'''</div><br/> |
| + | *<math>n1,n2</math> 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 and the geometric mean of the three numbers is the cube root of their product. | ||
| + | *So the geometric mean of n numbers is defined as the nth root of the product of the numbers. | ||
| + | *In GEOMEAN(n1,n2...)n1,n2.., are positive real numbers and n1 is required. n2,n3.. 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 {a1,a2 ...,an} is given by: | ||
| + | [PI(){i=1 to n} ai] ^{1/n} = sqrt[n]{a1, a2 ... an}. | ||
| + | *This function will give the result as error when | ||
| + | #Any one of the argument is nonnumeric | ||
| + | #Any one value<=0 | ||
| + | #Any one of the references cannot be translated in to numbers. | ||
| − | + | ==Examples== | |
| + | GEOMEAN(3,27)=9 | ||
| + | GEOMEAN(2,4,8)=4 | ||
| + | GEOMEAN(3,5,8,10,12)=6.786916380543178 | ||
| + | GEOMEAN(-2,32)=NAN, because the value is<0. | ||
| + | ==See Also== | ||
| − | + | ==References== | |
| − | + | [http://en.wikipedia.org/wiki/Gamma_distribution| Gamma Distribution]* | |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | [ | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
Revision as of 00:34, 5 December 2013
GEOMEAN(n1,n2,…)
- are the positive real numbers.
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 and the geometric mean of the three numbers is the cube root of their product.
- So the geometric mean of n numbers is defined as the nth root of the product of the numbers.
- In GEOMEAN(n1,n2...)n1,n2.., are positive real numbers and n1 is required. n2,n3.. 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 {a1,a2 ...,an} is given by:
[PI(){i=1 to n} ai] ^{1/n} = sqrt[n]{a1, a2 ... an}.
- This function will give the result as error when
- Any one of the argument is nonnumeric
- Any one value<=0
- Any one of the references cannot be translated in to numbers.
Examples
GEOMEAN(3,27)=9 GEOMEAN(2,4,8)=4 GEOMEAN(3,5,8,10,12)=6.786916380543178 GEOMEAN(-2,32)=NAN, because the value is<0.