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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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In a given dataset, 60 percent of the observations have a z-score less than 00. By contrast, 50 percent of observations in a normal distribution have a z-score less than 00. What does this finding suggest about the shape of the dataset’s distribution?

A

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

B

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

C

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

D

It indicates a perfectly symmetric, normal distribution.

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