Related Function:

The VARPA function returns the variance based on the entire population – ignores logical values and text in the population.


=VARPA(num_1,[num_2], … )

Note: Beginning with Excel 2007, you can enter up to 255 number arguments to the function. Excel 2003 would only accept up to 30 number arguments.


Argument Description
num_1 The first number, cell references or range argument corresponding to a population
[num_2], … Optional. Additional numbers, cell references or ranges for which you want the variance, up to a maximum of 255

Note: The number arguments must provide a minimum of 2 numeric values to the function.


  A B C D
1 Data      
2 1,471      
3 1,474      
4 1,491      
5 1,452      
6 1,436      
7 1,445      
8 1,442      
9 1,427      
10 1,432      
11 1,407      
13 Formula Result Notes
14 =VARPA(A2:A11) 563.61 Variance of values provided, assuming that 10 is the entire population

Note: VARAPA unction is used when calculating the variance of an entire population. If your data is just a sample of the population, you need to use the VARA function.

Common Function Error(s)

Problem What went wrong
#VALUE! Occurs if any values that are supplied directly to the Varpa function are text values that cannot be interpreted as numeric values
#DIV/0! Occurs if none of the values supplied to the function are numeric

Variance is a statistical measure commonly used across a set of values, to identify the amount that the values vary from the average. The equation for VARP is:    

    \[    \frac { \sum (x-\bar{x})^2 } n    \]

where x is the sample mean of the set of values and n is the sample size.

See Wikipedia for more information on variance.