Difference between revisions of "Manuals/calci/STDEV"

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<div style="font-size:30px">'''STDEV(n1,n2,n3…)'''</div><br/>
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<div style="font-size:30px">'''STDEV()'''</div><br/>
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*<math>n1,n2,n3... </math> are numbers.
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*Parameters are set of numbers.
 +
**STDEV(), estimates standard deviation based on a sample.
  
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==Description==
 
==Description==
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*This function gives the standard deviation based on a given sample.  
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*This function gives the Standard Deviation based on a given sample.  
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*Standard deviation is a quantity expressing by how much the members of a group differ from the mean value for the group.
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*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.
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*In <math> STDEV(n1,n2,n3...), n1,n2,n3...</math>, are numbers to find the standard deviation.
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*In <math> STDEV()</math>, Parameters are set of numbers to find the Standard Deviation.
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*Here  <math> n1 </math> is required. <math> n2,n3,... </math> are optional.  
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*Here  First parameter is required. From the second parameter are optional.  
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*Instead of numbers we can use the single array or a reference of a array.  
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*Instead of numbers, we can use the single array or a reference of a array.  
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*<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.  
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*<math> STDEV </math> is defined by the formula:
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*It is calculated using <math>"n-1" </math> method.  
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<math>S.D= \sqrt \frac {\sum(x-\bar{x})^2}{(n-1)} </math>
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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.  
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*Suppose it should consider the data as the entire population, we can use the STDEVP function.
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*Suppose it should consider the data as the entire population, we can use the [[Manuals/calci/STDEVP | STDEVP ]] 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.  
 
*Suppose the array contains text,logical values or empty cells, like that values are not considered.  
 
*Suppose the array contains text,logical values or empty cells, like that values are not considered.  
 
*When we are entering logical values and text representations of numbers  as directly, then the arguments are counted.
 
*When we are entering logical values and text representations of numbers  as directly, then the arguments are counted.
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*Suppose the function have to consider the logical values and text representations of numbers in a reference , we can use the [[STDEVA]] function.  
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*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  
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       1. Any one of the argument is nonnumeric.  
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       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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==Examples==
 
==Examples==
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|-
 
|-
 
! 2
 
! 2
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| 7 || 3 || -1 || 2 || 25 || ||
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| 7 || 3 || -1 || 2 || 25 ||  
 
|-
 
|-
 
! 3
 
! 3
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| 9  || 11  || 8  ||6 || 15 || ||
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| 9  || 11  || 8  ||6 || 15 ||  
 
|}
 
|}
  
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# STDEV(18,25,76,91,107)=39.8660256358
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#=STDEV(18,25,76,91,107) = 39.8660256358
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#STDEV(208,428,511,634,116,589,907)=267.0566196431
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#=STDEV(208,428,511,634,116,589,907) = 267.0566196431
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#STDEV(A1:F1)=5.52871293039
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#=STDEV(A1:F1) = 5.52871293039
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#STDEV(A2:D2)=3.304037933599
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#=STDEV(A2:D2) = 3.304037933599
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#STDEV(A3:B3)=1.414213562373
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#=STDEV(A3:B3) = 1.414213562373
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#=STDEV(12,18,27,32,FALSE) = 12.617448236470002
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 +
==Related Videos==
 +
 
 +
{{#ev:youtube|wJGgZJNYaPA|280|center|STANDARD DEVIATION}}
  
 
==See Also==
 
==See Also==
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*[[Manuals/calci/DSTDEVP  | DSTDEVP ]]
 
*[[Manuals/calci/DSTDEVP  | DSTDEVP ]]
 
*[[Manuals/calci/STDEVP  | STDEVP ]]
 
*[[Manuals/calci/STDEVP  | STDEVP ]]
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*[[Manuals/calci/STDEVA| STDEVA]]
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*[[Manuals/calci/STDEVA | STDEVA]]
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 +
==References==
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*[http://en.wikipedia.org/wiki/Standard_deviation Standard Deviation]
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*[[Z_API_Functions | List of Main Z Functions]]
  
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==References==
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*[[ Z3 |  Z3 home ]]

Latest revision as of 16:17, 8 August 2018

STDEV()


  • Parameters are set of numbers.
    • STDEV(), estimates standard deviation based on a sample.

Description

  • This function gives the Standard Deviation based on a given sample.
  • 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 calculated as the square root of variance.
  • In , Parameters are set of numbers to find the Standard Deviation.
  • Here First parameter is required. From the second parameter 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 and is the total numbers of the given data.

  • It is calculated using method.
  • 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 STDEVP function.
  • The arguments can be be either numbers or names, array,constants or references that contain numbers.
  • Suppose the array contains text,logical values or empty cells, like that values are not considered.
  • When we are entering logical values and text representations of numbers as directly, then the arguments are counted.
  • Suppose the function have to consider the logical values and text representations of numbers in a reference , we can use the STDEVA 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
1 0 4 6 10 12 15
2 7 3 -1 2 25
3 9 11 8 6 15
  1. =STDEV(18,25,76,91,107) = 39.8660256358
  2. =STDEV(208,428,511,634,116,589,907) = 267.0566196431
  3. =STDEV(A1:F1) = 5.52871293039
  4. =STDEV(A2:D2) = 3.304037933599
  5. =STDEV(A3:B3) = 1.414213562373
  6. =STDEV(12,18,27,32,FALSE) = 12.617448236470002

Related Videos

STANDARD DEVIATION

See Also

References


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