Logic Masters Deutschland e.V.

So I've been playing around the logic that comes from using Medians instead of sums or averages -- so this puzzle springs from that. Here are some other puzzles using Medians:

• Median Killer Sudoku
• Mean, Median and Mode

The Rules:

• Normal sudoku rules apply, so fill every row, column, and 3x3 box with the digits from 1-9.
• Shade some cells so that the numbers on the outside of each row and column are the medians of the unshaded cells in that row/column in order. Recall a median is the middle number of the numbers when they are sorted if there is an odd number of cells, and it's the average of the two middle numbers if there is an even number of cells. Some examples:
  • The median of the single digit 4 is 4.
  • The median of the two digits 3 and 5 is 4.
  • The median of the three digits 1 4 8 is 4.
  • The median of the four digits 2 3 5 9 is 4.
• A question mark means there is a median with an unknown INTEGER value to be determined.
  • The median of the eight digits 1,2,3,4,5,7,8,9 is 4.5 which is not an integer.
  • The median of the six digits 1,2,3,5,8,9 is 4. which IS an integer.
• All groups of unshaded cells are represented by a clue - either a number or a question mark.

The Puzzle:

Link for solving on f-puzzles