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Question 59

Set P contains 2, 3, 4 and 10, and Set Q contains 2, 9, 9 and 10. Which statements about the ranges of these two sets are true? Select all that apply.

  1. Set P has the smaller range, because its middle values are closer together.
  2. Set P has a range of 8.Correct answer
  3. Set Q has the smaller range, because its values are clustered near 9.
  4. Set Q has a range of 8.Correct answer
  5. The two sets have the same range.Correct answer

Explanation

Both sets run from 2 up to 10, so each has a range of 10 - 2 = 8 despite looking very different in between. Expecting the more tightly clustered set to score a smaller range assumes that every value affects the answer, yet a range never looks at what lies between the two extremes.

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Question 59: Set P contains 2, 3, 4 and 10, and Set Q contains 2, 9, 9… · Statistics and Probability · Questena