Changes

*<math>n1,n2,n3... </math>  are numbers.

*<math>n1,n2,n3... </math>  are numbers.

==Description==

==Description==

*This function gives the standard deviation based on a given sample.  

*This function gives the Standard Deviation based on a given sample.  

*Standard deviation is a quantity expressing by how much the members of a group differ from the mean value for the group.

*Standard Deviation is the quantity expressed by, how many members of a group differ from the mean value of the group.

*It is the  used as a measure of the dispersion or variation in a distribution.  

*It is the  used as a measure of the dispersion or variation in a distribution.  

*It is calculated as the square root of variance.

*It is calculated as the square root of variance.

*In <math> STDEV(n1,n2,n3...), n1,n2,n3...</math>, are numbers to find the standard deviation.

*In <math> STDEV(n1,n2,n3...)</math>, <math>n1,n2,n3...</math>, are numbers to find the Standard Deviation.

*Here  <math> n1 </math> is required. <math> n2,n3,... </math> are optional.  

*Here  <math> n1 </math> is required. <math> n2,n3,... </math> are optional.  

*Instead of numbers we can use the single array or a reference of a array.  

*Instead of numbers, we can use the single array or a reference of a array.  

*<math> STDEV </math> is defined by the formula: <math>S.D= \sqrt \frac {\sum(x-\bar{x})^2}{(n-1)} </math> where <math> \bar{x} </math> is the sample mean of <math> x </math> and <math> n </math> is the total numbers in the given data.  

*<math> STDEV </math> is defined by the formula:

*It is calculated using <math>"n-1" </math> method.  

<math>S.D= \sqrt \frac {\sum(x-\bar{x})^2}{(n-1)} </math>

where <math> \bar{x} </math> is the sample mean of <math> x </math> and <math> n </math> is the total numbers of the given data.  

*It is calculated using <math>"n-1"</math> method.  

*This function is considering our given data is the sample of the population.  

*This function is considering our given data is the sample of the population.  

*Suppose it should consider the data as the entire population, we can use the [[Manuals/calci/STDEVP  | STDEVP ]] function.

*Suppose it should consider the data as the entire population, we can use the [[Manuals/calci/STDEVP  | STDEVP ]] function.

*Suppose the function have to consider the logical values and text representations of numbers in a reference , we can use the [[Manuals/calci/STDEVA| STDEVA]] function.  

*Suppose the function have to consider the logical values and text representations of numbers in a reference , we can use the [[Manuals/calci/STDEVA| STDEVA]] function.  

*This function will return the result as error when  

*This function will return the result as error when  

       1. Any one of the argument is nonnumeric.  

       1. Any one of the argument is non-numeric.  

       2. The arguments containing the error values or text that cannot be translated in to numbers.

       2. The arguments containing the error values or text that cannot be translated in to numbers.

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# STDEV(18,25,76,91,107)=39.8660256358

#=STDEV(18,25,76,91,107) = 39.8660256358

#STDEV(208,428,511,634,116,589,907)=267.0566196431

#=STDEV(208,428,511,634,116,589,907) = 267.0566196431

#STDEV(A1:F1)=5.52871293039

#=STDEV(A1:F1) = 5.52871293039

#STDEV(A2:D2)=3.304037933599

#=STDEV(A2:D2) = 3.304037933599

#STDEV(A3:B3)=1.414213562373

#=STDEV(A3:B3) = 1.414213562373

==See Also==

==See Also==

*[[Manuals/calci/DSTDEVP  | DSTDEVP ]]

*[[Manuals/calci/DSTDEVP  | DSTDEVP ]]

*[[Manuals/calci/STDEVP  | STDEVP ]]

*[[Manuals/calci/STDEVP  | STDEVP ]]

*[[Manuals/calci/STDEVA| STDEVA]]

*[[Manuals/calci/STDEVA | STDEVA]]

==References==

==References==