VARPA function

Calculates variance based on the entire population.

Syntax

VARPA(value1,value2,...)

Value1, value2, ...     are 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 :

    Equation

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

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)

=VARPA(A2:A11)

Variance of breaking strengths for all the tools, assuming that only 10 tools are produced (678.84)

Applies To: Excel 2007



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