Computing point density in 1mx1m box placed across the graph

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I am trying to build a tool where I have plotted 2D points in a graph using
scatter(X,Y,ptSz,'r','filled');
I would like to examine the spread of points over the 2D area by placing 1mx1m box across the acrea and computing the number of points in each box. I would like to know which box has least and most amount of points. I would also like to compute the average number of points in the boxes.
Eventually it would be effective to color map the boxes, representing the density of points.

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