Calculate the covariance between two variables to measure how they change together. This tool computes both sample and population covariance from your data sets.
What is Covariance?
Covariance is a measure of the joint variability of two random variables. It indicates how two variables change together:
Positive covariance: Variables tend to move in the same direction
Negative covariance: Variables tend to move in opposite directions
Zero covariance: Variables are independent or have no linear relationship
How to Use This Calculator
Enter your X values in the first field, separated by commas or spaces
Enter your Y values in the second field, separated by commas or spaces
Ensure both datasets have the same number of values
Click "Calculate Covariance" to see the results
Understanding the Results
The calculator provides two types of covariance:
Sample Covariance: Used when your data represents a sample from a larger population (divides by n-1)
Population Covariance: Used when your data represents the entire population (divides by n)
Important Notes
Both datasets must have the same number of values
Covariance values depend on the scale of the variables
For standardized comparison, consider using correlation coefficient instead
At least two data points are required for each variable