58. A data set of integers has 5 members. The median of the data set is 6. The only mode of the data set is 2. The mean of the data set is 5. Which of the following statements must be true about the data set?

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

The only mode of the data set is 2, and the only mode is 2, so the number sequence is 2, 2, 6, x, y.

x+y = 5×5-2-2-6 = 15, so the only possible combinations are 7 and 8, so the largest integer can only be 8. Choose K