- Advanced Excel Functions Tutorial
- Advanced Excel Functions - Home
- Compatibility Functions
- Advanced Excel Functions - Cube
- Database Functions
- Date & Time Functions
- Engineering Functions
- Financial Functions
- Information Functions
- Advanced Excel Functions - Logical
- Lookup & Reference Functions
- Math & Trignometric Functions
- Statistical Functions
- Useful Resources
- Quick Guide
- Useful Resources
- Discussion
Statistical - COVARIANCE.P Function
Description
The 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.
Syntax
COVARIANCE.P (array1, array2)
Arguments
Argument | Description | Required/Optional |
---|---|---|
Array1 | The first cell range of integers. | Required |
Array2 | The second cell range of integers. | Required |
Notes
Covariance is given by −
$$Cov\left ( X,Y \right )=\frac{\sum \left ( x-\bar{x} \right )\left ( y-\bar{y} \right )}{n}$$
Where n is the sample size and $\bar{x}$ and $\bar{y}$ are the sample means AVERAGE (array1) and AVERAGE (array2).
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.
Applicability
Excel 2010, Excel 2013, Excel 2016