Manuals/calci/VARPIF

VARPIF (Array,Condition,SumArray)

• $Array$ is the set of values.
• $Condition$ is the particular condition value.

Description

• This function gives the variance based on the entire population which satisfies the given condition.
• In $VARPIF(Array,Condition,SumArray)$,$Array$ is the set of values.
• $Condition$ is the particular condition which satisfies the variance values.
• Variance is a measure of dispersion obtained by taking the mean of the squared deviations of the observed values from their mean in a frequency distribution.
• i.e.,variance is a measure of how far each value in the data set is from the mean.
• It is denoted by $\sigma$.
• The square root of variance is called the standard deviation.
• To find the variance we can use the following formula:

$Variance={\frac {\sum (x_{i}-{\bar {x}})^{2}}{n-1}}$ where ${\bar {x}}$ is the sample mean of $x_{i}$ and $n$ is the sample size.

• Suppose $\sigma =0$ which is indicating all the values are identical.
• When $\sigma$ is non-zero then it is always positive.
• 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 VAR function.
• 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 VARPA 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. VARPIF([12,32,45,10,56],">10") = 268.1875
2. VARPIF([14.2,67.3,19.34,20.6,16.02,78.4,54.9],">21") = 92.1355555555556
3. VARPIF([14.2,67.3,19.34,20.6,16.02,78.4,54.9],"<21") = 6.517400000000003

Related Videos

Sample Variance

See Also

• VAR
• VARP
• VARA

References

• Variance

• List of Main Z Functions
• Z3 home