Word Problems: When to Use Mean, Median, and Mode

In Mrs. Patel's algebra one class she allows students to drop their four worst quiz scores and keep the ten best quiz grades at the end of the semester. The ten best quizzes are used together to make one overall quiz score for that reporting term. Ian has taken all $14$ quizzes. The scores for the quizzes are as follows: $7.4, 7.2, 6.8, 7.0, 8.2, 8.5, 8.2, 8.4, 9.0, 10, 9.2, 7.5, 7.6, 8.4$. Mrs. Patel has decided to allow students to choose either their mean, median, or mode score out of the top ten as their overall quiz score. What measure of central tendency should Ian use to get the best score? What is the greatest score Ian could possibly get?