Where to start!

• $k isn't assigned an initial value.
• until (...) { ... } is not Perl. It doesn't work.
• And if it did, it would only loops twice (once with $k=0 and once with $k=1) when I think you also want it to loop with $k=2.
• @array[$index] should be $array[$index]. The sigil to use is of the type returned.
• $i and $k always have the same value.
• $j is ever increasing, yet you keep adding an offset to it in a way that makes no sense.

The first three points are fixed by using for my $k (0..2) { ... }.

I can't even guess at what you are trying to do. Could you answer the following?

• averages is an array of what? "averages for each _____" (fill in the blank)
• scores is an array of what? "scores for each _____ for each ____" (fill in the blanks)

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