Difference between revisions of "Manuals/calci/STDEVPIF"
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− | + | <div style="font-size:30px">'''STDEVPIF (Array,Condition,SumArray)'''</div><br/> | |
+ | *<math>Array</math> is the set of values. | ||
+ | *<math>Condition</math> 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 <math>STDEVPIF (Array,Condition,SumArray)</math>,<math>Array</math> is the set of values. | ||
+ | *<math>Condition</math> 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. | ||
+ | *<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
- 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