VARPA

Calculates variance based on the entire population.

Syntax

VARPA(value1,value2,...)

Value1, value2, ...     are 1 to 30 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.

ShowHow to copy an example

  • Create a blank workbook or worksheet.
  • 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
  • Press CTRL+C.
  • In the worksheet, select cell A1, and press CTRL+V.
  • 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 2003