Difference between revisions of "Manuals/calci/STDEVA"

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<math>S.D= \sqrt \frac {\sum(x-\bar{x})^2}{(n-1)} </math>  
 
<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.   
 
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 "n-1" method.  
 
*This function consider our given data as the sample population.  
 
*This function consider our given data as the sample population.  
 
*Suppose it 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.

Revision as of 14:34, 28 February 2018

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 "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) = 12.617448236470002

Related Videos

STANDARD DEVIATION

See Also

References