# Manuals/calci/VARPA

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VARPA()

• Parameters are set of numbers.
• VARPA(),calculates variance based on the entire population, including numbers, text, and logical values.

## Description

• This function gives the variance based on the entire population.
• 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 . The square root of variance is called the standard deviation.
• In , Parameters are numbers based on a population. Here First Parameter is required.From the Second Parameter are optional.
• To find the variance we can use the following formula:

where is the sample mean of and is the sample size.

• Suppose which is indicating all the values are identical.
• When 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 VARA function.
• 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 reference.
• 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 function don't want to consider the logical values and text representations of numbers in a reference , we can use the VARP 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

Spreadsheet
A B C D E F
1 40 45 60 24 72 81
2 10.21 11.65 17.81 15.02 18.18 27.41
1. =VARPA(A1:F1) = 377.555555556
2. =VARPA(A1:F2) = 31.4284222222
3. =VARPA(12,23,34,45,true) = 242
4. =VARPA(12,23,34,45,FALSE) = 250.96000000000004

Sample Variance