Table of contents

1. Mean Vector
   1. Definition
   2. Formula to calculate the mean vector

Mean Vector

Definition

The mean vector for a data set with n observations and p variables \(X_1, \ldots, X_p\) is \(\bar{x} = (\bar{x}_1, \ldots, \bar{x}_p)\), where \(\bar{x}_j\) is the sample mean of \(X_j\).

Formula to calculate the mean vector

\[\begin{equation} \bar{x}_j = \frac{1}{n} \displaystyle\sum_{i=1}^{n}{x_{ij}} \end{equation}\]