how to calculate the mean distance between an array of points in matlab? in matlab

To calculate the mean distance between an array of points in Matlab, we need to calculate the distance between every combination of points and then calculate the mean of all those distances. Here's how we can do it using matrices, vectors, loops, and distance calculations:

main.m
% Create a matrix of points
points = [1 2; 3 4; 5 6; 7 8];

% Calculate the number of points
num_points = size(points, 1);

% Create a matrix to store all the distances
distances = zeros(num_points, num_points);

% Calculate the distances between all pairs of points
for i = 1:num_points
    for j = i+1:num_points
        distance = norm(points(i,:) - points(j,:));
        distances(i,j) = distance;
        distances(j,i) = distance;
    end
end

% Calculate the mean distance
mean_distance = mean(distances(distances ~= 0));
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In this code, we first create a matrix of points called points. We then calculate the number of points in the matrix using the size function. Next, we create a matrix called distances to store all the distances between pairs of points. We initialize this matrix with zeros.

We then calculate the distances between all pairs of points using two loops. For each combination of points, we use the norm function to calculate the Euclidean distance between the points, which we store in the distances matrix.

Finally, we calculate the mean distance by taking the mean of all the non-zero elements in the distances matrix. We exclude the zero values in the distances matrix because those correspond to the distance between a point and itself, which is always zero.