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Source: Manhattan

Level: 3

Having collected data from a certain population, a statistician observes that the mean (arithmetic average) of the sample is 15. In order to increase the precision of his estimation procedure, the statistician shifts the data by subtracting 10 from every sample point and increasing variability by multiplying each observation by 1.5. What is the mean (arithmetic average) of the transformed sample?

  • A 22.5
  • B 20
  • C 15
  • D 7.5
  • E 5

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