Uncover the central tendency and linear relationship between two variables with our free Sample Mean and Covariance Calculator. This essential statistical tool helps analyze datasets X and Y by computing their respective means and the covariance, indicating how they vary together. Perfect for students, researchers, and data analysts.
Formula:
Sample Mean Formula:
The sample mean (average) for a dataset X is calculated as:
$\bar{X} = \frac{\sum_{i=1}^{n} X_i}{n}$
Where:
- $\bar{X}$ = Sample Mean of X
- $ = The i-th value in dataset X
- $ = The total number of observations in dataset X
Sample Covariance Formula:
The sample covariance between two datasets X and Y is calculated as:
(X, Y) = \frac{\sum_{i=1}^{n} (X_i - \bar{X})(Y_i - \bar{Y})}{n-1}$
Where:
- (X, Y)$ = Sample Covariance between X and Y
- $ = The i-th value in dataset X
- $ = The i-th value in dataset Y
- $\bar{X}$ = Sample Mean of X
- $\bar{Y}$ = Sample Mean of Y
- $ = The total number of paired observations (X, Y)