**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 [1]

and

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 [1] 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.