Difference between revisions of "Manuals/calci/STDEVA"

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<div style="font-size:30px">'''STDEVA(n1,n2,n3…)'''</div><br/>
 
<div style="font-size:30px">'''STDEVA(n1,n2,n3…)'''</div><br/>
 
*<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 including the logical value and text.  
+
*This function gives the Standard Deviation based on a given sample including the logical value and text.  
*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 a quantity expressing by how much the members of a group differ from the mean value for 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>STDEVA(n1,n2,n3...), n1,n2,n3...</math>, are numbers to find the standard deviation.  
+
*In <math>STDEVA(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> STDEVA </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 x and n is the total numbers in the given data.   
+
*<math> STDEVA </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 x and n is the total numbers in the given data.   
 
*It is calculated using <math> "n-1" </math> method.  
 
*It is calculated using <math> "n-1" </math> method.  
*This function is considering our given data is the sample of the population.  
+
*This function consider our given data as the sample population.  
*Suppose it should consider the data as the entire population, we can use the  [[Manuals/calci/STDEVPA  | STDEVPA ]]    function.
+
*Suppose it consider the data as the entire population, we can use the  [[Manuals/calci/STDEVPA  | STDEVPA ]]    function.
 
*The arguments can be be either numbers or names, array,constants or references that contain numbers.  
 
*The arguments can be be either numbers or names, array,constants or references that contain numbers.  
*Also we can give the text representations of numbers or logical values , like TRUE or FALSE, in a rference.  
+
*Also we can give the text representations of numbers or logical values , like TRUE or FALSE, in a reference.  
*Suppose the arguments containing TRUE which is eveluate as 1, and the arguments containing FALSE which is evaluate as 0.
+
*Suppose the arguments containing TRUE which is evaluate as 1, and the arguments containing FALSE which is evaluate as 0.
 
*Suppose the array contains the empty cells and text values like that values are not considered.   
 
*Suppose the array contains the empty cells and text values like that values are not considered.   
*Suppose the function don't want to consider the logical values and text representations of numbers in a reference , we can use the [[Manuals/calci/STDEV  | STDEV ]] function.  
+
*Suppose the function don't want to consider the logical values and text representations of numbers in a reference, we can use the [[Manuals/calci/STDEV  | STDEV ]] 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.
 
  
 
==Examples==
 
==Examples==
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#STDEVA(4,8,TRUE) = 3.51188458428
 
#STDEVA(4,8,TRUE) = 3.51188458428
 
#STDEVA(12,18,27,32,false)= 8.958236433584458
 
#STDEVA(12,18,27,32,false)= 8.958236433584458
 
  
 
==See Also==
 
==See Also==
Line 49: Line 47:
 
*[[Manuals/calci/STDEVP  | STDEVP ]]
 
*[[Manuals/calci/STDEVP  | STDEVP ]]
 
*[[Manuals/calci/STDEV | STDEV ]]
 
*[[Manuals/calci/STDEV | STDEV ]]
 
 
  
 
==References==
 
==References==

Revision as of 05:10, 30 January 2014

STDEVA(n1,n2,n3…)


  • are numbers.

Description

  • This function gives the Standard Deviation based on a given sample including the logical value and text.
  • Standard Deviation is a quantity expressing by how much the members of a group differ from the mean value for the group.
  • It is the used as a measure of the dispersion or variation in a distribution.
  • It is calculated as the square root of variance.
  • In , , are numbers to find the standard deviation. *Here is required. are optional.
  • Instead of numbers we can use the single array or a reference of a array.
  • is defined by the formula:

where is the sample mean of x and n is the total numbers in the given data.

  • It is calculated using Failed to parse (syntax error): {\displaystyle "n-1" } method.
  • This function consider our given data as the sample population.
  • Suppose it consider the data as the entire population, we can use the STDEVPA function.
  • The arguments can be be either numbers or names, array,constants or references that contain numbers.
  • Also we can give the text representations of numbers or logical values , like TRUE or FALSE, in a reference.
  • Suppose the arguments containing TRUE which is evaluate as 1, and the arguments containing FALSE which is evaluate as 0.
  • Suppose the array contains the empty cells and text values like that values are not considered.
  • Suppose the function don't want to consider the logical values and text representations of numbers in a reference, we can use the STDEV function.
  • This function will return the result as error when
   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.

Examples

Spreadsheet
A B C D E F G
1 208 428 511 634 116 589 907
2 18 25 76 91 107
  1. STDEVA(A2:E2)=39.8660256358
  2. STDEVA(A1:G1)=267.0566196431
  3. STDEVA(4,8,TRUE) = 3.51188458428
  4. STDEVA(12,18,27,32,false)= 8.958236433584458

See Also

References