HELP! Dice Probabilities

[Dyson Logos]

Last month, someone posted a "standard stat block" based on the 3d6 dice probabilities.

Now, could someone check what the average roll of 3d6 twice keep the best would be? And what a "standard stat block" for six stats developed that way would be?

 

[Nagol]

    Stat          3d6  best of 2         probability
         3          1          1              0.0000
         4          3         15              0.0003
         5          6         84              0.0018
         6         10        300              0.0064
         7         15        825              0.0177
         8         21       1911              0.0410
         9         25       3425              0.0734
        10         27       5103              0.1094
        11         27       6561              0.1406
        12         25       7375              0.1581
        13         21       7161              0.1535
        14         15       5655              0.1212
        15         10       4020              0.0862
        16          6       2508              0.0538
        17          3       1281              0.0275
        18          1        431              0.0092

    TOTAL         216      46656          1

 

[Nagol]

The average stat is 12.18

I'm not sure how to build a "standard array". If you divide the population into hextiles and give the PC the stat that hits the mark, the stats look like 10, 11, 12, 13, 15, 18.