Split a matrix into separate matrices and find centroid of each smaller matrix

I want to split a Nx2 matrix into k number of matrices, find the centroid of each matrix and then put the centroids into another matrix.

For example for A = 50x2 matrix and k = 10

The 10 smaller matrices will be 5x2 each.

The matrix containing the centroids of 10 matrices will be 10x2

[ Centroid of a Nx2 matix is a point equidistant from all points in the matrix when plotted. Each of the matrix rows are x&y axis values. For a collection of points x1,x2,x3,.....xn & y1,y2,y3,.....yn.

Centroid(x',y')

x' = (x1+x2+x3+......+xn) /n

y' = (y1+y2+y3+......+yn) /n ]

How to constuct this code?

[Kevin Phung]

what have you tried? and what do you mean by centroid?

If youre finding a centroid for 10 matrices, how is the collection of centroids a 10x2?

[Meg Cullen]

Centroid is a point equidistant from all points in the matrix when plotted. Each of the rows are x&y axis values. For a collection of points x1,x2,x3,.....xn & y1,y2,y3,.....yn.

Centroid(x',y')

x' = (x1+x2+x3+......+xn) /n

y' = (y1+y2+y3+......+yn) /n

Answer 1

[KSSV]

A = rand(50,2) ; 

k = 10 ; 

[r,c] = size(A);
nlay  = r/k ;
out   = permute(reshape(A',[c,r/nlay,nlay]),[2,1,3]);

% Get mean 
M = squeeze(mean(out))'

[Meg Cullen]

The code of splitting the matix is absolutely correct. Thank you for that.

But the centroid is not what I wanted. This code refers to the mean of the matrix.

I have edited my question to explain about the centroid of a matrix.

[KSSV]

What is difference between:

x' = (x1+x2+x3+......+xn) /n
y' = (y1+y2+y3+......+yn) /n

and mean?

[Meg Cullen]

sorry.....its my mistake.... I used a incorret matrix to test the code. I am new at using Matlab.

Its working correctly. Thank you very much.