median

Sample median

Introduction

Sample median is the "middle point" of a given set of data. It divides the data into 2 sub-groups of same number of elements. Let $x_1,x_2,\ldots,x_n$ be elements of $y=\begin{bmatrix}y_1,y_2,\ldots,y_n\end{bmatrix}$ sorted in increasing order. The median of $y$ is given by

If $y$ is complex, its elements are sorted by the moduli.

Usages

m = median(A)

• If A is a scalar, m is equal to A.
• If A is a vector, m is the median of elements along the longer dimension of A.
• If A is a matrix or multi-dimensional array, m contains medians of vectors of A along the first non-singleton dimension.
• If A is empty, m is NaN.

m = median(A, dim)

• Same as m = median(A) above, except that elements of m contains medians of vectors of A along its dim-th dimension.
• dim should be a real integer scalar $\geq 1$.