VAR function

Estimates variance based on a sample.

Syntax

VAR(number1,number2,...)

Number1, number2, ...     are 1 to 255 number arguments corresponding to a sample of a population.

Remarks

  • VAR assumes that its arguments are a sample of the population. If your data represents the entire population, then compute the variance by using VARP.

  • 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 VARA function.

  • VAR uses the following formula:

    Formula

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

Example

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

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

How to copy an example

  1. Create a blank workbook or worksheet.

  2. Select the example in the Help topic.

    Note   Do not select the row or column headers.

    Selecting an example from Help

    Selecting an example from Help

  3. Press CTRL+C.

  4. In the worksheet, select cell A1, and press CTRL+V.

  5. 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.

1

2

3

4

5

6

7

8

9

10

11

A

Strength

1345

1301

1368

1322

1310

1370

1318

1350

1303

1299

Formula

Description (Result)

=VAR(A2:A11)

Variance for the breaking strength of the tools (754.2666667)

Applies To: Excel 2007



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