Mean Squares

For these puzzles we need to fill in the cells with the numbers 1 through 5 so that each number appears exactly once in every row and column.  The clues here are all based around the average or mean of the numbers in adjacent cells.  A bottom heavy trapezoid indicates the mean is less than three, a top heavy one indicates it is greater than three, and a square indicates it is exactly three.  Some clues are deliberately left out in order to increase the difficulty in the later puzzles.

Here is a completed sample puzzle to provide a visual aid as to how these clues work:

Here are the four squares.  If you like these and want to try more of them, there are four more of them here over at Quadrata.

 

 

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