Find Center Point From List of Lat Long Coords in Linq

I need to find the center point of a list of coordinates, but I don't want to simply search for the extremities and find a midpoint, as some of the coordinates could be rogues.  Is there a way that I can somehow weight the center based on the density ?  Any ideas ?
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A good way to find a geographical centroid is to treat all the coordinates as 3-d vectors and average them.
In other words, something like:
Imports System.Device.Location

Module Module1
	ReadOnly coordinates As New List(Of GeoCoordinate) From _
		{ _
			New GeoCoordinate() With {.Latitude = 22.9833, .Longitude = 72.5}, _
			New GeoCoordinate() With {.Latitude = 18.975, .Longitude = 72.8258}, _
			New GeoCoordinate() With {.Latitude = 22.3, .Longitude = 73.2003}, _
			New GeoCoordinate() With {.Latitude = 26.926, .Longitude = 75.8235}, _
			New GeoCoordinate() With {.Latitude = 28.61, .Longitude = 77.23}, _
			New GeoCoordinate() With {.Latitude = 22.3, .Longitude = 70.7833} _

	Sub Main()
		Dim central = coordinates.GetCentralGeoCoordinate()
		Console.WriteLine("Central Latitude: {0}; Central Longitude: {1}", central.Latitude, central.Longitude)
	End Sub
End Module

Module Extensions
	<System.Runtime.CompilerServices.Extension()> _
	Public Function GetCentralGeoCoordinate(ByVal coordinates As IEnumerable(Of GeoCoordinate)) As GeoCoordinate
		' Original code authored by Yodacheese -
		If coordinates.Count = 1 Then Return coordinates.Single()

		Dim CentralLatitude As Double
		Dim CentralLongitude As Double

		Dim x As Double = 0
		Dim y As Double = 0
		Dim z As Double = 0

		Dim vectors = (From coordinate As GeoCoordinate In coordinates
					Let latitude = coordinate.Latitude * Math.PI / 180
					Let longitude = coordinate.Longitude * Math.PI / 180
					Let a = Math.Cos(latitude) * Math.Cos(longitude)
					Let b = Math.Cos(latitude) * Math.Sin(longitude)
					Let c = Math.Sin(latitude)
					Select New With {.X = a, .Y = b, .Z = c})

		x = vectors.Sum(Function(vector) vector.X) / coordinates.Count
		y = vectors.Sum(Function(vector) vector.Y) / coordinates.Count
		z = vectors.Sum(Function(vector) vector.Z) / coordinates.Count

		CentralLatitude = Math.Atan2(z, Math.Sqrt(x * y + y * y))
		CentralLongitude = Math.Atan2(y, x)

		Return New GeoCoordinate(CentralLatitude * 180 / Math.PI, CentralLongitude * 180 / Math.PI)
	End Function
End Module

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Which produces the following output -Capture.JPG-saige-

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WatersideAuthor Commented:
Typo I think line 46 should read..

CentralLatitude = Math.Atan2(z, Math.Sqrt(x * x + y * y))

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Visual Basic.NET

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