# VAR.P function

Calculates variance based on the entire population (ignores logical values and text in the population).

## Syntax

`VAR.P(number1,[number2],...])`

The VAR.P function syntax has the following arguments (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):

• Number1     Required. The first number argument corresponding to a population.
• Number2, ...     Optional. Number arguments 2 to 254 corresponding to a population.

## Remarks

• VAR.P assumes that its arguments are the entire population. If your data represents a sample of the population, then compute the variance by using VAR.S.
• Arguments can either be numbers or names, arrays, or references that contain numbers.
• Logical values, and text representations of numbers that you type directly into the list of arguments are counted.
• If an argument is an array or reference, only numbers in that array or reference are counted. Empty cells, logical values, text, or error values in the array or reference are ignored.
• Arguments that are error values or text that cannot be translated into numbers cause errors.
• If you want to include logical values and text representations of numbers in a reference as part of the calculation, use the VARPA function.
• The equation for VAR.P is:

where x is the sample mean AVERAGE(number1,number2,…) and n is the sample size.

## Example

Suppose all 10 tools stamped from the same machine during a production run are collected and measured for breaking strength.

The example may be easier to understand if you copy it to a blank worksheet.

1. Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
Important: Do not select the row or column headers.

Selecting an example from Help

1. Press CTRL+C.
2. Create a blank workbook or worksheet.
3. In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
4. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

A
Strength
1345
1301
1368
1322
1310
1370
1318
1350
1303
1299
Formula Description (Result)
=VAR.P(A2:A11) Variance of breaking strengths for all the tools, assuming that only 10 tools are produced (678.84)

Applies to:
Excel 2010, Excel Web App, SharePoint Online for enterprises, SharePoint Online for professionals and small businesses