To understand this analysis, check the Guide
NSW counties and pastoral districts in 1861, according to the 1871 census, which includes a table of male and female population. The total population match exactly the numbers recorded in the 1861 census.
Australian Bureau of Statistics; Australian Data Archive; Smith, Len; Rowse, Tim; Hungerford, Stuart, 2019, "Historical and Colonial Census Data Archive (HCCDA)", doi:10.26193/MP6WRS, ADA Dataverse, V5 https://dataverse.ada.edu.au/dataset.xhtml?persistentId=doi:10.26193/MP6WRS