If a Saturn has a standardized score (z-score) of +2.2 in fuel economy, what does this indicate?

If a Saturn has a standardized score (z-score) of +2.2 in fuel economy, what does this indicate?

• A. It averages fuel economy equal to the average car
• B. Its fuel economy is 2.2 standard deviations worse than the average car
• C. Its fuel economy is average compared to other cars
• D. It achieves fuel economy that is 2.2 standard deviations better than the average car

Answer: (D)

A standardized score, or z-score, is a way of describing how far an individual data point is from the mean of the dataset, measured in terms of standard deviations. A positive z-score means that the data point is above the mean. In this scenario, a Saturn having a z-score of +2.2 indicates that its fuel economy is 2.2 standard deviations above the average fuel economy of all cars. This means it performs significantly better than the average car in terms of fuel economy, as a z-score of +2.2 shows that it surpasses the mean by a considerable margin. The larger the z-score, the better the performance relative to the average; thus, a z-score of +2.2 clearly indicates superior fuel economy. This explanation illustrates that the Saturn's fuel economy is indeed 2.2 standard deviations better than that of the average car, validating the correctness of this assessment.

A standardized score, or z-score, is a way of describing how far an individual data point is from the mean of the dataset, measured in terms of standard deviations. A positive z-score means that the data point is above the mean.

In this scenario, a Saturn having a z-score of +2.2 indicates that its fuel economy is 2.2 standard deviations above the average fuel economy of all cars. This means it performs significantly better than the average car in terms of fuel economy, as a z-score of +2.2 shows that it surpasses the mean by a considerable margin.

The larger the z-score, the better the performance relative to the average; thus, a z-score of +2.2 clearly indicates superior fuel economy. This explanation illustrates that the Saturn's fuel economy is indeed 2.2 standard deviations better than that of the average car, validating the correctness of this assessment.