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VARP
 

Calculates variance based on the entire population.

Syntax

VARP(number1,number2,...)

Number1, number2, ...   are 1 to 30 number arguments corresponding to a population.

Remarks

  • VARP assumes that its arguments are the entire population. If your data represents a sample of the population, then compute the variance by using VAR.
  • 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 VARP is:

    Equation

    where x is the sample mean AVERAGE(number1,number2,…) 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.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

    Note  Do not select the row or column headers.

    Selecting an example from Help

    Selecting an example from Help

  3. Press CTRL+C.
  4. In the worksheet, select cell A1, and press CTRL+V.
  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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11
A
Strength
1345
1301
1368
1322
1310
1370
1318
1350
1303
1299
Formula Description (Result)
=VARP(A2:A11) Variance of breaking strengths for all the tools, assuming that only 10 tools are produced (678.84)
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