Statistical
Excel 2010
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=VAR.S()
The VAR.S function estimates variance based on a sample (ignores logical values and text in the sample).
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=VAR.S(number1,[number2],...)
Hover argument names in the table for details.
Output typeNumber
Popularity25 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
number1 |
Number | Required | The first number argument corresponding to a sample of a population. |
number2 |
Number | Optional | , ... Optional. Number arguments 2 to 254 corresponding to a sample of a population. |
▣ Examples
▦ Data
| Cell | Value |
|---|---|
A2 |
Strength |
A3 |
1345 |
A4 |
1301 |
A5 |
1368 |
A6 |
1322 |
A7 |
1310 |
A8 |
1370 |
A9 |
1318 |
A10 |
1350 |
A11 |
1303 |
A12 |
1299 |
A13 |
Strength |
A14 |
1345 |
A15 |
1301 |
A16 |
1368 |
A17 |
1322 |
A18 |
1310 |
A19 |
1370 |
A20 |
1318 |
A21 |
1350 |
A22 |
1303 |
A23 |
1299 |
Variance for the breaking strength of the tools, when the values in A2:A11 represent only a sample of all the data. VAR.S returns a different result than VAR.P, which treats the range of data as the entire population.
=VAR.S(A2:A11)
Result:
754.27
The variance based on the entire population, using the VAR.P function, returns a different result.
=VAR.P(A2:A11)
Result:
678.84
§ Remarks
- VAR.S assumes that its arguments are a sample of the population. If your data represents the entire population, then compute the variance by using VAR.P.
- 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.S uses the following formula: where x is the sample mean AVERAGE(number1,number2,…) and n is the sample size.
✦ Tips
- VAR.S assumes that its arguments are a sample of the population. If your data represents the entire population, then compute the variance by using VAR.P.
- 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.S uses the following formula: where x is the sample mean AVERAGE(number1,number2,…) and n is the sample size.
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