# VARPA function

This article describes the formula syntax and usage of the VARPA function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.

## Description

Calculates variance based on the entire population.

## Syntax

`VARPA(value1, [value2], ...)`

The VARPA 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.):

• Value1, value2, ...    Value1 is required, subsequent values are optional. 1 to 255 value arguments corresponding to a population.

## Remarks

• VARPA assumes that its arguments are the entire population. If your data represents a sample of the population, you must compute the variance by using VARA.
• Arguments can be the following: numbers; names, arrays, or references that contain numbers; text representations of numbers; or logical values, such as TRUE and FALSE, in a reference.
• Logical values and text representations of numbers that you type directly into the list of arguments are counted.
• Arguments that contain TRUE evaluate as 1; arguments that contain text or FALSE evaluate as 0 (zero).
• If an argument is an array or reference, only values in that array or reference are used. Empty cells and text 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 do not want to include logical values and text representations of numbers in a reference as part of the calculation, use the VARP function.
• The equation for VARPA is :

where x is the sample mean AVERAGE(value1,value2,…) and n is the sample size.

## Example

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 B
Strength
1345
1301
1368
1322
1310
1370
1318
1350
1303
1299
Formula Description (Result)
=VARPA(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