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If the mode of the data: 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then x =

  • A.14
  • B.15
  • C.16
  • D.17

Answer: B

Let's count the frequency of each number in the data set (excluding x):

  • 14: 1 time
  • 15: 2 times
  • 16: 2 times
  • 17: 2 times
  • 19: 1 time

Currently, the data is multimodal with modes 15, 16, and 17. For the mode of the entire set to be 15, the value of x must be 15. This would make the frequency of 15 equal to 3, which would be the highest frequency.

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