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AP Statistics/Unit 1: Exploring One-Variable Data
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Z-Score in a Normal Distribution

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The weights of adult male gorillas are modeled by a normal distribution with a mean of μ = 180 kg and a standard deviation of σ = 21 kg. For a gorilla with a weight of 201 kg, which of the following best describes its position in the distribution?

A

It is at the 84th percentile of the distribution

B

It is 2 standard deviations above the mean

C

It is 1 standard deviation below the mean

D

It is 1 standard deviation above the mean

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