0soyoung
Imperial Masterpiece
Basically one must rank order the list of scores to find the high and low values to eliminate. I've tabulated the scores for trees #1 thru #9 to illustrate the Median score, average of the middle three scores (highest and lowest scores dropped), versus the average of all 5.
[table=head]tree a b median d e ave(mid3) ave(all5)
1 38 38 41 43 45 41 41
2 35 36 37 39 43 37 38
3 36 37 40 40 44 39 39
4 36 49 50 50 50 50 47
5 40 45 48 49 52 47 47
6 36 40 42 45 48 42 42
7 36 40 40 43 49 41 42
8 33 40 53 54 55 49 47
9 36 42 45 46 53 44 44
[/table]
One would think that the median and average of the middle three would be very similar, but it makes a noticeable difference when one of these three values is quite different from the other two. Here is the ranking order (first place at the top) of these 9 trees according to each 'scoring system':
[table=head]median mid-3 all-5
8 4 8
4 8 4
5 5 5
9 9 9
6 6 6
1 7 7
7 1 1
3 3 3
2 2 2
[/table]
Rather than trying to figure out how to make your favorite tree come out on top (i.e., practice 'decision theory'), think about which better represents intents. I favor the median.
[table=head]tree a b median d e ave(mid3) ave(all5)
1 38 38 41 43 45 41 41
2 35 36 37 39 43 37 38
3 36 37 40 40 44 39 39
4 36 49 50 50 50 50 47
5 40 45 48 49 52 47 47
6 36 40 42 45 48 42 42
7 36 40 40 43 49 41 42
8 33 40 53 54 55 49 47
9 36 42 45 46 53 44 44
[/table]
One would think that the median and average of the middle three would be very similar, but it makes a noticeable difference when one of these three values is quite different from the other two. Here is the ranking order (first place at the top) of these 9 trees according to each 'scoring system':
[table=head]median mid-3 all-5
8 4 8
4 8 4
5 5 5
9 9 9
6 6 6
1 7 7
7 1 1
3 3 3
2 2 2
[/table]
Rather than trying to figure out how to make your favorite tree come out on top (i.e., practice 'decision theory'), think about which better represents intents. I favor the median.
Last edited:
. You make a very good point!
