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AP Statistics/Unit 1: Exploring One-Variable Data
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Comparing Z-Scores Across Distributions
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Two different normal distributions have the same mean but different standard deviations (σ₁ and σ₂, where σ₁ < σ₂). If a value has the same z-score in both distributions, which statement must be true?

A

The value is farther from the mean in the distribution with σ₂

B

The value is farther from the mean in the distribution with σ₁

C

The value has the same percentile in both distributions

D

The value is the same distance from the mean in both distributions

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