Find centre of 6 figure National Grid References

[WCE_123]

Hi,

Is it possible to find the centre point of these 6 figure National Grid References (sample)

345723 842214
346094 842080
346087 842611
346359 842379
346502 841967

These are point on a map - these points will vary and the number of point will vary too,

Cheers

WCE

[XOR LX]

Hi,

Please define "centre point" in this context.

Regards

[shg]

Average the northings and eastings?

[WCE_123]

Hi,

If these references are posts in the ground at the given NGR what is the position I would have to stand to be bang in the middle of all of them - hope this makes sense,

Cheers

WCE

[XOR LX]

Well, unless they all happen to lie on the circumference of the same circle that won't be mathematically possible.

You will have to come up with a different definition of "bang in the middle". So that the average distance from all points is minimized, perhaps? Although I can imagine that this also would give rise to not just one, but a locus of points...

Please clarify.

Regards

[shg]

Standing at the average of the easting and northing minimizes the total distance to all.

[Andy Pope]

Maybe this will help visualize the problem you are describing

[XOR LX]

"Standing at the average of the easting and northing minimizes the total distance to all."

Yes, of course it will.

Regards

[WCE_123]

Hi,

Mid Point of extremes - is what I want - Great.

Thank you for all your input,

Cheers

WCE