COVARIANCE.P function

Returns population covariance, the average of the products of deviations for each data point pair in two data sets.

Use covariance to determine the relationship between two data sets. For example, you can examine whether greater income accompanies greater levels of education.

Syntax

COVARIANCE.P(array1,array2)

The COVARIANCE.P function syntax has the following arguments:

  • Array1     Required. The first cell range of integers.

  • Array2     Required. 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, COVARIANCE.P returns the #N/A error value.

  • If either array1 or array2 is empty, COVARIANCE.P 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.

How do I copy an example?

  1. Select the example in this article. If you are copying the example in Excel Web App, copy and paste one cell at a time.Important Do not select the row or column headers.

    selecting an example from help

    Selecting an example from Help

  2. Press CTRL+C.

  3. Create a blank workbook or worksheet.

  4. In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Web App, repeat copying and pasting for each cell in the example.

  5. Important For the example to work properly, you must paste it into cell A1 of the worksheet.

  6. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

  7. After you copy the example to a blank worksheet, you can adapt it to suit your needs.

1

2

3

4

5

6

7


8

A

B

Data1

Data2

3

9

2

7

4

12

5

15

6

17

Formula

Description (Result)

=COVARIANCE.P(A2:A6, B2:B6)

Covariance, the average of the products of deviations for each data point pair above (5.2)

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online



Was this information helpful?

Yes No

How can we improve it?

255 characters remaining

To protect your privacy, please do not include contact information in your feedback. Review our privacy policy.

Thank you for your feedback!

Support resources

Change language