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Question 57

Set A contains 4, 5 and 6, and Set B contains 1, 5 and 9. Both sets have a mean of 5. Which set is more spread out, and why?

  1. Set A, because its values are closer to the mean.
  2. Neither set, because the two sets have the same mean.
  3. Set A, because it has a range of 8 against Set B's range of 2.
  4. Set B, because it has a range of 8 against Set A's range of 2.Bonne réponse

Explication

Set A runs from 4 to 6 and so has a range of 2, while Set B runs from 1 to 9 and has a range of 8, which makes Set B the more spread out of the two. Concluding that the sets behave alike because both average 5 ignores spread altogether, since a mean marks a central figure and says nothing about how far the values sit from it.

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Question 57: Set A contains 4, 5 and 6, and Set B contains 1, 5 and 9.… · Statistics and Probability · Questena