Statistical
Excel 2010
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=VAR.P()
Calculates variance based on the entire population (ignores logical values and text in the population).
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=VAR.P(number1,[number2],...)
Hover argument names in the table for details.
Output typeNumber
Popularity20 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
number1 |
Number | Required | The first number argument corresponding to a population. |
number2 |
Number | Optional | , ... Optional. Number arguments 2 to 254 corresponding to a population. |
▣ Examples
▦ Data
| Cell | Value |
|---|---|
A2 |
Strength |
A3 |
1,345 |
A4 |
1,301 |
A5 |
1,368 |
A6 |
1,322 |
A7 |
1,310 |
A8 |
1,370 |
A9 |
1,318 |
A10 |
1,350 |
A11 |
1,303 |
A12 |
1,299 |
A13 |
Strength |
A14 |
1,345 |
A15 |
1,301 |
A16 |
1,368 |
A17 |
1,322 |
A18 |
1,310 |
A19 |
1,370 |
A20 |
1,318 |
A21 |
1,350 |
A22 |
1,303 |
A23 |
1,299 |
Variance of breaking strengths for all the tools, assuming that only 10 tools are produced (the entire population is used).
=VAR.P(A2:A11)
Result:
678.84
The variance, using the VAR.S function, which assumes only a sample of the population is tested. The result is different from VAR.P.
=VAR.S(A2:A11)
Result:
754.27
§ Remarks
- VAR.P assumes that its arguments are the entire population. If your data represents a sample of the population, then compute the variance by using VAR.S.
- 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 VARPA function.
- The equation for VAR.P is: where x is the sample mean AVERAGE(number1,number2,…) and n is the sample size.
✦ Tips
- VAR.P assumes that its arguments are the entire population. If your data represents a sample of the population, then compute the variance by using VAR.S.
- 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 VARPA function.
- The equation for VAR.P is: where x is the sample mean AVERAGE(number1,number2,…) and n is the sample size.
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