A dataset consists of numbers: 4, 8, 12, 16, 20. If each number is increased by 3 and then multiplied by 2, what is the new standard deviation?
Answer and explanation
Correct answer: A.
- Step 1: Original variance = 32, SD = . Step 2. Adding 3 does not change SD; multiplying by 2 doubles SD. Step 3. New SD = . Answer: 8\sqrt{2}. Why not the others: is original SD; scales by 3.
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