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AP Statistics/Unit 1: Exploring One-Variable Data
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Z-Scores and Distribution Skewness
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A histogram of z-scores from a dataset shows that 60% of the observations fall below a z-score of $$0$$. Considering that, in a perfectly normal distribution, 50% of the observations lie below $$0$$, what does this discrepancy suggest about the data’s distribution?

A

It suggests that the distribution is skewed to the right since more than 50% of the observations fall below the mean (z = 0).

B

It indicates that the data is uniformly distributed across z-scores.

C

It suggests that the distribution is skewed to the left with a long left tail.

D

It indicates a perfectly symmetric, normal distribution.

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