If you double each value in the set [3, 6, 9], what is the new mean?

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Multiple Choice

If you double each value in the set [3, 6, 9], what is the new mean?

Explanation:
Doubling every value scales the mean by the same factor. First find the original mean: (3 + 6 + 9) ÷ 3 = 18 ÷ 3 = 6. If each number is doubled, the new set becomes [6, 12, 18]. Its sum is 6 + 12 + 18 = 36, and the mean is 36 ÷ 3 = 12. Equivalently, the mean is 2 × 6 = 12. The new mean is 12.

Doubling every value scales the mean by the same factor. First find the original mean: (3 + 6 + 9) ÷ 3 = 18 ÷ 3 = 6. If each number is doubled, the new set becomes [6, 12, 18]. Its sum is 6 + 12 + 18 = 36, and the mean is 36 ÷ 3 = 12. Equivalently, the mean is 2 × 6 = 12. The new mean is 12.

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