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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 are described. Distribution P is approximately symmetric with a mean of 170 cm and a standard deviation of 5 cm. Distribution Q is right-skewed with a mean of 168 cm and a standard deviation of 8 cm. A student is randomly selected from each distribution. Which of the following comparisons is most uncertain?

A

Which distribution the taller student belongs to

B

How far each student is from their distribution’s mean

C

Which student is taller

D

Which student is closer to the median height

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