The approximation is better in this case since you only have the results I return and you can't independently audit every section to see if I'm accurate. Say I

The approximation is better in this case since you only have the results I return and you can't independently audit every section to see if I'm accurate. Say I return the 7 foot guy from each section, but one section only had a 6'8" guy. Meanwhile there is a section that had 10 7 footers. You can't verify that without seeing my data.