How to find the centre of GPX data - center

Question

Let's say I have some location data from a gpx file.
EG: [36.735058, -3.6843662, 13],[36.73534, -3.6841993, 12],[36.735455, -3.684072, 7],[36.735596, -3.6841817, 6],[36.735943, -3.6840394, 4]
I would like to find the center point using PHP so that when the points are rendered on a map, the map is centered at the center.
I suppose the the center point is some kind of average based on all the points.
Maybe there exists some king of algorithm to calculate the center.
The way I would approach this is to find the furthest North and South points and then find the point between them and do the same with East and West to find latitude and longitude of the center.
I haven't actually tried doing this this yet. I am wondering is someone else has already worked out the best way of finding a center point from a group of coordinates.

Answer 1

Yes, it works by finding the max North South Eat and West points.
Something like this
//WORK OUT THE CENTER POINT
$max_long = max($long_array);
$min_long = min($long_array);
$center_long = ($max_long + $min_long) / 2;
$max_lat = max($lat_array);
$min_lat = min($lat_array);
$center_lat = ($max_lat + $min_lat) / 2;