Difference between revisions of "Manuals/calci/STDEVPIF"

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*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.
 +
*<math> STDEVP </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 </math> method.
 +
*This function is considering our given data as the entire population.
 +
*Suppose it should consider the data as the sample of the population, we can use the [[Manuals/calci/STDEV  | STDEV ]] function.
 +
*For  huge sample sizes the functions <math> STDEV </math> and <math> STDEVP </math> are approximately equal values.
 +
*The arguments can 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 [[Manuals/calci/STDEVPA  | STDEVPA ]] 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==
 +
#STDEVPIF([2,7,19,20,43,65,77,81],"<10") = 2.5
 +
#STDEVPIF([2,7,19,20,43,65,77,81],">10") = 25.235006549544533
 +
#STDEVPIF([10,10.01,10.001,10.2,10.002,10.02,10.3],">5") = 0.11333947562387037
 +
 +
==Related Videos==
 +
 +
{{#ev:youtube|v=LZqQ4i-3WOk&t=361s|280|center|Standard Deviation IF}}
 +
 +
==See Also==
 +
*[[Manuals/calci/STDEV | STDEV]]
 +
*[[Manuals/calci/STDEVP  | STDEVP ]]
 +
*[[Manuals/calci/STDEV  | STDEV ]]
 +
*[[Manuals/calci/STDEVA| STDEVA]]
 +
 +
==References==
 +
*[http://en.wikipedia.org/wiki/Standard_deviation Standard Deviation]
 +
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 15:24, 30 November 2018

STDEVPIF (Array,Condition,SumArray)


  • is the set of values.
  • is the particular condition value.

Description

  • This function gives the standard deviation based on a entire population as the the given data which satisfies the given condition.
  • In , is the set of values.
  • is the particular condition which satisfies the Standard deviation value.
  • 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.
  • 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 method.
  • This function is considering our given data as the entire population.
  • Suppose it should consider the data as the sample of the population, we can use the STDEV function.
  • For huge sample sizes the functions and are approximately equal values.
  • The arguments can 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 STDEVPA 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

  1. STDEVPIF([2,7,19,20,43,65,77,81],"<10") = 2.5
  2. STDEVPIF([2,7,19,20,43,65,77,81],">10") = 25.235006549544533
  3. STDEVPIF([10,10.01,10.001,10.2,10.002,10.02,10.3],">5") = 0.11333947562387037

Related Videos

Standard Deviation IF

See Also

References