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 :
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
- 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
- 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.
|
|
| 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) |
|