>Precalculus by Stewart
>page P4
>5. Batting Averages Player A has a higher batting average than player B for the first half
of the baseball season. Player A also has a higher batting average than player B for the
second half of the season. Is it necessarily
>answer key: No, not necessarily
???

If A>C and B>D, then (A+B)/2>(C+D)/2 (meaning the answer should be yes, yet the key says the answer is no) so what the fuck is this trying to say?
It's not that I don't understand the math, it's that I don't understand the logic or the intent of the question. What is this problem even trying to say/ask?