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Review: Symmetric Distribution
Explanation
This question describes something that sounds like a
normal distribution, although there is no mention of normal distributions in
the official test rubric and so we won't have to bust out special statistics
knowledge here. The distribution might
look something like this:
It's symmetric about the mean m. We're told 95 percent of the
distribution lies between and . That means that 5 percent of the distribution lies
in the little portion to the left of and the little
portion to the right of . Since the distribution is symmetric, regardless of
its exact shape, we know those two little portions are equal in size. Therefore
the size of one of them must be half of 5 percent, or 2.5%.
The correct answer is (B).
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