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<div style="font-size:30px">'''STDEVPA(n1,n2,n3…)'''</div><br/>
<div style="font-size:30px">'''STDEVPA()'''</div><br/>
*<math>n1,n2,n3... </math> are numbers.
*Parameters are set of numbers.
**STDEVPA(),calculates standard deviation based on the entire population, including numbers, text, and logical values.
==Description==
==Description==
*This function gives the standard deviation based on a entire population as the the given data including the logical value and text .
*This function gives the standard deviation based on a entire population as the given data 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> STDEVPA(n1,n2,n3...), n1,n2,n3...</math>, are numbers to find the standard deviation.
*In <math> STDEVPA()</math>, Parameters are set of numbers to find the standard deviation.
*Here <math> n1</math> is required. <math> n2,n3,...</math> are optional.
*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.
*Instead of numbers we can use the single array or a reference of a array.
*STDEVPA 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.
*STDEVPA is defined by the formula:
*It is calculated using <math> "n" </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 number in the given data.
*It is calculated using <math> n </math> method.
*This function is considering our given data is the entire population.
*This function is considering our given data is the entire population.
*Suppose it should consider the data as the sample of the population, we can use the [[Manuals/calci/STDEVA| STDEVA]] function.
*Suppose it should consider the data as the sample of the population, we can use the [[Manuals/calci/STDEVA| STDEVA]] function.
*For huge sample sizes the functions <math> STDEVA </math> and <math> STDEVPA </math> are approximately equal values.
*For huge sample sizes the functions <math> STDEVA </math> and <math> STDEVPA </math> are approximately equal values.
*The arguments can be either numbers or names, array,constants or references that contain numbers.
*The arguments can 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/STDEVP | STDEVP ]] 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/STDEVP | STDEVP ]] 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==
|-
|-
! 1
! 1
| 87 || 121 || 427 ||390 || 110|| ||
| 87 || 121 || 427 ||390 || 110|| 542 || 412
|-
|-
! 2
! 2
| 2 || 2.4 || 3.7 ||14.9 || 28 || 198 || 154.1
| 2 || 2.4 || 3.7 ||14.9 || 28 || 198 || 154.1
|-
|-
| 5 || 9 || 17 || true ||
!3
| 5 || 9 || 17 || true || 6 || 0 || 41
|}
|}
#=STDEVPA(A1:E1) = 149.0597195757
#=STDEVPA(A2:G2) = 76.31463871127
#=STDEVPA(A3:D3) = 5.916079783
#=STDEVPA(2,12,22,32,false) = 12.09297316626478
==Related Videos==
{{#ev:youtube|nQHG12zgl7I|280|center|STDEVP}}
==See Also==
==See Also==
*[[Manuals/calci/STDEVP | STDEVP ]]
*[[Manuals/calci/STDEVP | STDEVP ]]
*[[Manuals/calci/STDEVA| STDEVA]]
*[[Manuals/calci/STDEVA| STDEVA]]
==References==
==References==
*[http://en.wikipedia.org/wiki/Standard_deviation Standard Deviation]
*[[Z_API_Functions | List of Main Z Functions]]
* <font color="#484848"><font face="Arial, sans-serif"><font size="2">S D is calculated by the "n-1" method.</font></font></font>
*[[ Z3 | Z3 home ]]