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Problem-Solving and Data AnalysisMediumValue plausible under two polls

Problem-Solving and Data Analysis practice question

Two polls of the same population asked the same question. Poll A's result gives a plausible range of 44% to 50% for the population percentage; Poll B's gives 47% to 53%. Which of the following percentages is plausible according to BOTH polls?

  1. A. 48%Correct
  2. B. 45%
  3. C. 52%
  4. D. 44%

Answer: A. 48%

A value must lie in both ranges — that is, from 47% to 50%. Only 48% does.

Why the other answers are wrong

B. 45%
45% is inside Poll A's range but below Poll B's 47%.
C. 52%
52% is inside Poll B's range but above Poll A's 50%.
D. 44%
44% is at the bottom of Poll A's range but outside Poll B's.

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