Average value: (9.8+9.7× 2+9.6× 4+9.5+9.4× 2+9.1) = 9.5455.

Median: in descending order, 9. 1, 9.4, 9.4, 9.5, 9.6, 9.6, 9.7, 9.8,

So the median is 9.6.

Mode: The maximum value is 4, so the mode is 9.6.

Second,

Average score: (9.7× 2+9.6× 4+9.5+9.4× 2)/9 = 9.5667, which is reasonable because the extreme value that affects the score is removed to ensure the relative authenticity of the score and the fairness of the game.