Statistical
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=VARPA()
Calculates variance based on the entire population.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=VARPA(value1, [value2], ...)
Hover argument names in the table for details.
Output typeNumber
Popularity3 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
value1 |
Any type | Required | , value2, ... Value1 is required, subsequent values are optional. 1 to 255 value arguments corresponding to 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 of breaking strengths for all the tools, assuming that only 10 tools are produced (entire population).
=VARPA(A2:A11)
Result:
678.84
This example uses the VAR function, which assumes a sample of the population, and returns a different result.
=VAR(A2:A11)
Result:
754.27
§ 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.
✦ Tips
- 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.
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