Manuals/calci/STDEVPIF

STDEVPIF (Array,Condition,SumArray)

• $Array$ is the set of values.
• $Condition$ 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 $STDEVPIF(Array,Condition,SumArray)$,$Array$ is the set of values.
• $Condition$ 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.
• $STDEVP$ is defined by the formula:

$S.D={\sqrt {\frac {\sum (x-{\bar {x}})^{2}}{(n-1)}}}$ where ${\bar {x}}$ is the sample mean of x and n is the total numbers in the given data.

• It is calculated using Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle "n" } 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 $STDEV$ and $STDEVP$ 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

See Also

• STDEV
• STDEVP
• STDEV
• STDEVA

References

• Standard Deviation

• List of Main Z Functions
• Z3 home