Microsoft Office Online
Sign in to My Office Online (What's this?) | Sign in

 
 
Microsoft Office Excel
Search
Search
 
Icon: Flag: (c) Microsoft
Get up to speed
 
 
 
Warning: You are viewing this page with an unsupported Web browser. This Web site works best with Microsoft Internet Explorer 6.0 or later, Firefox 1.5, or Netscape Navigator 8.0 or later. Learn more about supported browsers.

COVAR
 

Returns covariance, the average of the products of deviations for each data point pair. Use covariance to determine the relationship between two data sets. For example, you can examine whether greater income accompanies greater levels of education.

Syntax

COVAR(array1,array2)

Array1   is the first cell range of integers.

Array2   is the second cell range of integers.

Remarks

  • The arguments must either be numbers or be names, arrays, or references that contain numbers.
  • If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with the value zero are included.
  • If array1 and array2 have different numbers of data points, COVAR returns the #N/A error value.
  • If either array1 or array2 is empty, COVAR returns the #DIV/0! error value.
  • The covariance is:

    Equation

    where x and y are the sample means AVERAGE(array1) and AVERAGE(array2), and n is the sample size.

Example

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.
 
1
2
3
4
5
6
A B
Data1 Data2
3 9
2 7
4 12
5 15
6 17
Formula Description (Result)
=COVAR(A2:A6, B2:B6) Covariance, the average of the products of deviations for each data point pair above (5.2)
advertisement