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:
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
- 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) |
| =VAR(A2:A11) |
Variance for the breaking strength of the tools (754.2666667) |
|