Kanga's Marching Band

View solution.

Kanga directs her friends to march in a 3×3 grid. Each one wears a hat with an integer from 1 to 5 on it. They make the following statements. In these statements, "neighbor" includes diagonal adjacencies.

APRILBoth my eastern neighbor and my southern neighbor have a 2 on their hats.
BILLYApril and Freya are the only two people whose neighbors' numbers sum up to 15.
COREYThe sum of my neighbors' numbers is 27, which is the highest possible neighbor sum.
DAISYThere are exactly five people with the property that all their neighbors' hats have distinct numbers, but I am not one of them.
ELSIEThe number on my hat is the floor of the average of all the numbers.
FREYAThere is no one to my north.
GOPALFour of my neighbors' hats have the same number.
HOLLYThe sum of my neighbors' numbers is 7, which is the lowest possible neighbor sum.
IZUMIHolly is somewhere to my north.