SAT Math Multiple Choice Question 183: Answer and Explanation

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Question: 183

3. Two groups of subjects are combined in a psychological research experiment. The mode score for group A is 7 and the mode score for group B is 6. Which of the following conclusions can be made?

  • A. The mode for the whole group is 6.
  • B. The mode for the whole group is between 6 and 7.
  • C. The mode for the whole group is 7.
  • D. The mode cannot be determined from the given information.

Correct Answer: D


D The mode of the combined groups cannot be determined without knowing exactly what scores each group received. To illustrate this, plug in! Let's say that the scores of Group A were {1, 1, 7, 7, 7}, and the scores for Group B were {1, 1, 6, 6, 6}. The scores of the whole group would, therefore, be {1, 1, 1, 1, 6, 6, 6, 7, 7, 7}. This set has a mode of 1, so eliminate (A), (B), and (C) and choose (D).

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