"Biff" wrote...
....
However, according to the OP, the correct output should be:

_ | 8 | 8
....
4 | 5 | _
....
The entries that are 4|5|5 and _|4|5 are kicking my butt! Specifcally, and
this is where I'm stuck, the last 5 should not appear in column H.
....

vs

_ | 8 | 8
....
4 | 5 | 5

The records (cols C through K) with my results are

2 | 8 | 8 || _ | 8 | 8 || 8 | _ | 8
....
4 | 5 | 5 || 4 | 5 | 5 || _ | 4 | 5

and the records with the supposed desired results are

2 | 8 | 8 || _ | 8 | 8 || 8 | _ | 8
....
4 | 5 | 5 || 4 | 5 | _ || _ | 4 | 5


My question is what makes the 8s in D2 and E2 different from the 5s in D9
and E9? That there are two 8s in I2:K2 but only one 5 in I9:K9? If so,

F2:
=IF(AND(ABS(COUNTIF($I2:$K2,C2)/
SUMPRODUCT(COUNTIF($I2:$K2,$C2:$E2))-0.5)<0.5,
COUNTIF($C2:C2,C2)<=COUNTIF($I2:$K2,C2)),C2,"")

Fill F2 into G2:H2, then fill F2:H2 into F3:H15. The results then look like

_ | 8 | 8
1 | _ | 5
_ | _ | _
8 | 6 | _
9 | 0 | 2
_ | _ | _
_ | _ | _
4 | 5 | _
_ | _ | _
_ | _ | _
_ | _ | _
_ | _ | _
_ | _ | _
_ | _ | _