Dear All,

I have a very long list of values as follow

```
(43, 560)
(516, 1533)
(1316, 3047)
(520, 1528)
(3563, 1316)
(45, 557)
(3562, 1312)
(2686, 1964)
(2424, 3340)
(3559, 1317)
(50, 561)
(2427, 3336)
(1313, 3046)
(3562, 1313)
(3559, 1318)
(2689, 1962)
(2429, 3339)
(3721, 2585)
(1317, 3048)
```

I would like to group values within a certain tolerance.

Say I set tolerance to 3, my 1st and 6th results ((43, 560) (45, 557)) should be grouped together in an average value: (44, 558.5).

What approach would be the best?

I really don't know where to start from. The only idea I got was the following.

I take each tuple of the initial list and add/subtract values from 1 to 3 (my tolerance), so the entry (43,560) will result in: (43,560),(42,559),(41,558),(40,557),(44,561),(45,562),(46,563).

I repeat this for all the entries of my initial list and take the values with most occurrences... but I am afraid this will just increase my list instead of reducing it and I am not sure I would get correct results.

As an addition, I tried to plot the values and got the following image

but if I zoom in each cluster, I see something like this

I would like each cluster to become one single point (so in the end I have 8 x,y coordinates only).

Any help is much appreciated!

giancan