Hint: The fourth player is the key to this tricky question.
Answer: 9 points.
Respectively the scores were 7, 14, 20, 30, 23, 9.
If the six player were A, B, C, D, E and F we know that:
A + B + C + D + E + F = 103 
A = B ÷ 2
B = C - 6
C = D x 2 ÷ 3
E = D - A (see note at end)
F = E - 14
Since D is the letter we're missing information for, it's best to find all of the other letters in terms of D. These steps are left as an exercise, but the result is:
A = (2D - 18) ÷ 6
B = (2D - 18) ÷ 3
C = 2D ÷ 3
E = (2D + 9) ÷ 3
F = (2D - 33) ÷ 3
We can then use these all in  to find that D = 30. Which allows us to find F = 9. QED.
Small note: if we chose E = A - D (instead of E = D - A) we'd end up with a negative value for E, which isn't allowed.
What is represented by this BrainBat?
cat cat cat cat cat cat cat cat cat cat cat cat
Hint: Say what you see.
Answer: Copy cat.
Using the BrainTracker grid below, how many words can you find? Each word must contain the central M and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?