You have correctly transcribed the CDC numbers. It is their numbers I do not understand.
The CDC says (I added the letters):
A Total Doses Delivered
59,307,800
B Total Doses Administered
42,417,617
C Number of People Receiving 1 or More Doses
32,340,146
D Number of People Receiving 2 Doses
9,518,015
Assuming a simple error in phrasing and C and D are independent sets:
B = C + D, but it obviously does not. It equals 41,858,161 and not 42,417,617 a discrepancy of 550,000 doses!!
Whereas as stated D should be a subset of C, that simply increases the discrepancies in the Doses “Administered”. The wording also suggests that for some reason people are receiving more than 2 doses.
These errors in logic and arithmetic are egregious and should have been caught or explained.
I think that the discrepancies that you highlight in the CDC reporting, are likely due to imperfections in the reports they receive. Garbage in, garbage out.
So many people are in the chain, that human errors accumulate. There is some noise, along with the signal.
Although it’s not perfect, it’s still a pretty good estimation, for tracking and managing.