Median Point: 24 degrees 15 minutes south latitude, 133 degrees 25 minutes east longitude; position on SG53-01 Henbury 1:250,000 and 5549 James 1:100,000 scale maps.
Centre... Everyone from every state has an even ride...
However... it'll be a ride for everyone... let's go to the poll...
OR...
One possible definition of the centre for New South Wales is located just off Cockies Road, 33km west-north-west of Tottenham (Tottenham is 110km west of Dubbo). This spot, south of the Fiveways Intersection, is marked by a large cairn and sign, constructed for Australia's Bicentennial celebrations.
Location: 32° 09' 48" South, 147° 01' 00" East
Position on SI55-03 Narromine 1:250,000 and 8333 Tottenham 1:100,000 scale maps.
Thanks to Geoscience Australia.