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GRE
GRE Quantitative Reasoning Section

Comparing Z-Scores from Different Datasets

Very Hard Data Analysis Descriptive Statistics

In a recent analysis of two different datasets representing the weights (in kg) of a sample of 15 adults, the following statistics were derived:

Dataset A: The mean weight is 70 kg and the standard deviation is 10 kg.

Dataset B: The mean weight is 82 kg and the standard deviation is 15 kg.

Assume that both datasets are normally distributed. Based on this information, compare the standardized values (z-scores) of an individual weighted 75 kg from Dataset A and an individual weighted 85 kg from Dataset B.

To find the z-score for an individual, use the formula: $$ z = \f\frac{(X - \mu)}{\sigma} $$ where $X$ is the individual weight, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Hint

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