﻿ VARPA function

# 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 :

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

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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