Calculation of Fixed Total Validity

Scott Tucker

Round Score Validity Performance
1 500 0.920 54.3%
2 900 1.000 90.0%
3 482 0.796 60.6%
4 288 0.611 47.1%
5 836 1.000 83.6%
6 615 0.992 62.0%
7 ABS 0.680 0.0%
8 586 0.976 60.0%
9 513 1.000 51.3%
10 614 1.000 61.4%

Now the total validity for all rounds was 8.975. Pilots were allowed to drop their 20% worst scores, which is equivalent to dropping scores from enough rounds whose validity totals 1.795.

Scott's worst round was round 7 when he was absent (validity 0.680) so he still has to drop another 1.115 worth of days.

His next worst round was round 4 when he performed at only 47.1% of the maximum possible. Round 4 had a validity of 0.611 so he still has to drop another 0.504 days.

His next worst round was round 9 when he performed at 51.3%. However round 9 was worth a validity of 1.000, so he only has to drop 0.504/1.000 = 0.504 of the day and can keep the other 0.496 of the day. Of the 513 points he scored he has to drop 258 of them.

Hence Scott has to reduce his total score by 0 + 288 + 258 = 546, leaving him with a total of 4788.


Tim Cummings

Round Score Validity Performance
1 0 0.920 0%
2 900 1.000 90.0%
3 213 0.796 26.8%
4 418 0.611 68.4%
5 900 1.000 90.0%
6 327 0.992 33.0%
7 460 0.680 67.6%
8 589 0.976 60.3%
9 661 1.000 66.1%
10 666 1.000 66.6%

As before the total validity for all rounds was 8.975. Pilots were allowed to drop their 20% worst scores, which is equivalent to dropping scores from enough rounds whose validity totals 1.795.

Tim's worst round was round 1 when he was absent (validity 0.920) so he still has to drop another 0.875 worth of days.

His next worst round was round 3 when he performed at only 26.8% of the maximum possible. Round 3 had a validity of 0.796 so he still has to drop another 0.079 days.

His next worst round was round 6 when he performed at 33.0%. However round 6 was worth a validity of 0.992, so he only has to drop 0.079/0.992 = 0.080 of the day and can keep the other 0.920 of the day. Of the 327 points he scored he has to drop 26 of them.

Hence Tim has to reduce his total score by 0 + 213 + 26 = 239, leaving him with a total of 4895.