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The standard deviation of five numbers is 4. Each of the numbers is multiplied by 3. What is the standard deviation of the new numbers?

Competition practiceData & Probability
  • A4
  • B9
  • C36
  • D12

Step-by-Step Solution

Scaling every observation by 3 scales every deviation from the mean by 3, so the standard deviation becomes (the variance would become ).
Answer: D) 12

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