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A data set has mean 20 and standard deviation 4. If 5 is added to every observation, what are the new mean and SD?

Competition practiceStatistics
  • AMean 25, SD 4
  • BMean 25, SD 9
  • CMean 20, SD 4
  • DMean 25, SD 20

Step-by-Step Solution

Adding a constant shifts the mean by 5 but leaves the spread unchanged: mean 25, SD 4.
Answer: A) Mean 25, SD 4

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