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Thanks for the finding.
Then, for esthetic reasons, I prefer
awk '(FNR==1) {x=int(NR/2)} (FNR==x) {print; exit}' infile infile

Unfortunately, if infile contains an odd number of lines (3 for example), none of these will work.
In the 1st awk script int(3/2) is 1, not 2; so that script prints the 1st line instead of the 2nd...

The b variable, incrementing on every line, is identical with awk's NR variable.
So one can shorten it to
awk '{a[NR]=$0;} END {print a[int(NR/2)]}' infilea is an array that stores each line.
So...

awk '{a[b++]=$0;}END{print a[int(b/2)];}' infile

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