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AP Statistics/Unit 1: Exploring One-Variable Data
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Comparing Symmetric and Skewed Distributions
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Two distributions of student heights (in cm) are compared using histograms. Distribution P is roughly symmetric with mean=170 and SD=5. Distribution Q is right-skewed with mean=168 and SD=8. A student is randomly selected from each distribution. For which measure is the comparison between the two students most uncertain?

A

Which student is closer to the median height

B

How far each student is from their distribution’s mean

C

Which student is taller

D

Which distribution the taller student belongs to

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