How to remove outliers from a set of 2D points?

My question has two parts:

1. I have two 1D arrays containing X and Y values. How can I create another 1D array where each element is a 2D point?
2. How to remove outliers from the resulting array?

For example, something like this:

x = [1 3 2 4 2 3 400];
y = [2 3 1 4 2 1 500];
xy = [[1 2] [3 3] [2 1] [4 4] [2 2] [3 1] [400 500]];
result = rmoutliers(xy, 'mean');

The result should look like:

result = [[1 2] [3 3] [2 1] [4 4] [2 2] [3 1]]

[John D'Errico]

Arrays in MATLAB are not composed of multiple elements in every element. Those extra square brackets were meaningless.

For example, this just creates a row vector of length 14.

xy = [[1 2] [3 3] [2 1] [4 4] [2 2] [3 1] [400 500]];

Better is to use a 2 dimensional array. Thus

xy = [1 2;3 3;2 1;4 4;2 2;3 1;400 500];

xy =
     1     2
     3     3
     2     1
     4     4
     2     2
     3     1
   400   500

As you can see, I dropped the spurious brackets.

Anyway, a number is just a symbol. It has no intrinsic meaning unless you put some meaning to the symbol. In this case, I might consider each row as representing the (x,y) coordinates of a point in 2-dimensions.

[Hadi Ghahremannezhad]

Thanks, I wanted to use 2D array, but the rmoutliers does not work the way I want with 2D matrix.