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For the data 2, 4, 4, 5, 7, 8, 12 which of the following statements is correct?

Competition practiceData & Probability
  • AMean = median = mode
  • BMode > median > mean
  • CMean > median > mode
  • DMedian > mean > mode

Step-by-Step Solution

The seven values total 42, so the mean is 42 ÷ 7 = 6. The 4th of the seven ordered values is 5, so the median is 5, and 4 is the only repeated value, so the mode is 4. Hence mean (6) > median (5) > mode (4), the ordering typical of data with a tail stretching to the right — here the single large value 12 pulls the mean up while leaving the median and the mode where they are.
Answer: C) Mean > median > mode

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