Nathan777 chooses 7.51, again.

quintopia chooses 5.147102625.

the distance is less than 5, so the highest guesser Nathan77 wins the match!

THE FINAL

here is the current tournament bracket:

the FINAL shall be between razetime and Nathan777. i imagine both competitors will be looking carefully at their opponents' previous guesses, in order to exploit any patterns they may be able to spot. in fact i encourage them both to explain, in great detail, in this thread about how exactly they are each going to choose their guess for the FINAL.

here are some additional observations:

• both of the finalists played their first match in round 2, rather than round 1.
• up to this point, all matches except one have ended with a distance of less than 5, meaning the highest guess has won
• the image quality of my tournament bracket drawings has declined steadily since the beginning of this competition, due to poor lighting
• 13 of all 17 submitted guesses (that's 76%) have had an integer part that is odd; only 4 have been even.
• the largest ever guess is 10, and the smallest ever guess is 0.
• the mean guess is about 5.598. the standard deviation of the guesses is about 3.131.
• the median guess is 5.147, the lower quartile guess is 3.142, and the upper quartile guess is 7.510.
• there isn't a unique mode - 3, 10, pi, and 7.51 have each been submitted twice, and all other submitted guesses are unique.
• here is a box plot:

good luck to both the finalists !