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Line 1: − + + + + + + + + + + + + + + + + + + − <font size="3"><font face="Times New Roman">'''GEOMEAN''' (n1, n2...)</font></font>+ + + + + + − <font size="3"><font face="Times New Roman">n1, n2 etc are parameters. You can also give as an array or use array reference.</font></font>+ − + − </div> − ---- − <div id="1SpaceContent" class="zcontent" align="left"> − − <font size="3"><font face="Times New Roman">To calculates the geometric mean. Parameter can be an array.</font></font> − − </div> − ---- − <div id="7SpaceContent" class="zcontent" align="left"> − − <font size="3">·</font> <font size="3"><font face="Times New Roman">Parameters are numbers, names, arrays, and references. </font></font> − − <font size="3">·</font> <font size="3"><font face="Times New Roman">Here logical values and the text representations of numbers are calculated. </font></font> − − <font size="3">·</font> <font size="3"><font face="Times New Roman">GEOMEAN calculates the error value when data point ≤ 0. </font></font> − − <font size="3"><font face="Times New Roman"> − − Formulas:- − − − − </font></font></div> − ---- − <div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left"> − − GEOMEAN − − </div></div> − ---- − <div id="8SpaceContent" class="zcontent" align="left"><font face="Times New Roman"> − − <font size="3"><font color="#000000">GEOMEAN (B2, B3, B4, B5)</font></font> − − <font size="3"><font color="#000000">GEOMEAN (2, 4, 6, 8) = 4.4267</font></font> − − </font></div> − ---- − <div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div> − ---- − <div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div> − ---- − <div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div> − ---- − <div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div> − ---- − <div id="2SpaceContent" class="zcontent" align="left"> − − {| id="TABLE3" class="SpreadSheet blue" − |- class="even" − | class=" " | − | Column1 − | class=" " | Column2 − | class=" " | Column3 − | class=" " | Column4 − |- class="odd" − | class=" " | Row1 − | class=" " | 2 − | class="sshl_f" | 4.426728 − | class="sshl_f" | − | class="sshl_f" | − |- class="even" − | class=" " | Row2 − | class=" " | 4 − | class="SelectTD" | − | class="sshl_f" | − | class="sshl_f" | − |- class="odd" − | Row3 − | class=" " | 6 − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |- class="even" − | Row4 − | class="sshl_f " | 8 − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |- class="odd" − | class=" " | Row5 − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |- class="even" − | Row6 − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − | class="sshl_f" | − |} − − <div align="left">[[Image:calci1.gif]]</div></div> − ----
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<div id="6SpaceContent" class="zcontent" align="left">
<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]*
[[Image:PicExportError|13px|*]]<font color="#000000"> </font><font size="3"><font color="#000000"><font face="Times New Roman">The equation to find out the geometric mean is: </font></font></font>