📊 Statistics

Covariance Calculator

Calculate covariance between two data sets.

Covariance Calculator

Covariance
7.20
Overview

What Is Covariance?

Covariance measures how two variables change together - positive covariance means they tend to increase together, negative means one tends to increase as the other decreases.

Who It's For

For Students & Data Analysts

Useful for understanding relationships between two data sets, foundational for correlation analysis.

Walkthrough

How to Use This Calculator

01

Enter your X values

Type numbers separated by commas.

02

Enter your Y values

Type the corresponding Y numbers, same count as X.

03

Read the covariance instantly

The result updates automatically.

Tips

Tips & Tricks

FAQ

Frequently Asked Questions

What does covariance measure?

How two variables change together - whether they tend to move in the same or opposite directions.

What does positive covariance mean?

As one variable increases, the other tends to increase as well.

What does negative covariance mean?

As one variable increases, the other tends to decrease.

What does covariance of zero mean?

No linear relationship between how the two variables change together.

What's the difference between covariance and correlation?

Correlation normalizes covariance to a -1 to 1 scale, making it easier to interpret the strength of relationship regardless of variable scale.

Is my data saved?

No, calculations happen entirely in your browser.

Do X and Y need the same number of values?

Yes, they must be paired - each X value corresponds to a Y value at the same position.

What's a real-world use of covariance?

Portfolio theory in finance, understanding variable relationships in statistics, and various data science applications.

Is this the sample or population covariance?

This calculator uses population covariance conventions - sample covariance would use a slightly different divisor.

Is this tool free?

Yes, completely free with no sign-up required.

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