Gopi took 5 quizzes for which the scores, ranging from 0 to 10. The median of her scores is 9. The mean of her scores is 8. The ONLY mode of her scores is 10. Which of the following MUST be true about her quiz scores?

F. Her lowest score is 4.

G. Her lowest score is 5.

H. The median of the 3 lowest scores is 6.

J. The sum of the 5 scores is 50.

K. The sum of the 2 lowest scores is 11.

Question

Gopi took 5 quizzes for which the scores, ranging from 0 to 10. The median of her scores is 9. The mean of her scores is 8. The ONLY mode of her scores is 10. Which of the following MUST be true about her quiz scores?

F.  Her lowest score is 4.

G. Her lowest score is 5.

H. The median of the 3 lowest scores is 6.

J. The sum of the 5 scores is 50.

K. The sum of the 2 lowest scores is 11.