Explanation

When all the numbers of a sequence or set are multiplied by a number, then the mean also gets multiplied by the same number.

If the mean remains same, then this can only happen if the mean = 0. Statement I is true.

Statement 2 is not necessarily true as the sequence (-8, 1, 7) has mean = 0, yet the largest and smallest elements are not additive inverses.

Statement 3 is also not necessarily because the set may contain all zeros. Sequences can contain repeats, and nothing in the stem indicates that all numbers in the sequence must be unique.

**The correct answer is A.**

If the mean remains same, then this can only happen if the mean = 0. Statement I is true.

Statement 2 is not necessarily true as the sequence (-8, 1, 7) has mean = 0, yet the largest and smallest elements are not additive inverses.

Statement 3 is also not necessarily because the set may contain all zeros. Sequences can contain repeats, and nothing in the stem indicates that all numbers in the sequence must be unique.