There is no definitive answer to the ranch size question, but there are some data that may help ballpark the answer.  The 2012 Ag Census data for Texas suggests there are a roughly 178,000 operations claiming a total of 90.3 million acres of permanent pasture in Texas.  The simple answer: that’s about 507 acres per operation. 

In reality, the answer is not so simple.  There are also 5.8 million acres of pastured woodland and 2.8 million acres of grazed cropland and a specified number of operations that claim those types as well.  Adding the total number of operations for all three land types would be double counting the people that own more than one type of land.  Also complicating the data is the fact that some of that land is used for livestock other than cattle.

If you want to look at average number of head.  The same 2012 Census indicates a Texas beef cow inventory of 4.33 million head on 134,000 operations or about 32 head per operation.

Well, thank you for your time.  I know a lot of  ranchers and not one of them has something as small as a little over 500 acres.  No where near that little.  Tiny is considered 1,000 and one can only run a VERY small number of cattle on that and I don't know anyone who runs an average of 32 head of cattle.  I think you got those numbers right after the height of the historical drought when everyone had either lost their cattle or had sold their herds at auction at a great loss. 2012 was NOT an average year, but a historical-it's-never-been-this-bad in the 1600 years of tree ring observations made by the state.  I think you also included the entire ag community, i.e. cotton farmers, chicken ranches, hog farms and everything else besides the cattle industry.  This not what I asked for.  But thank you for your time.