Recall information from the previous task. One study of 91 bald eagle eggs found that the eggs had a mean length of 73.6 millimeters and standard deviation of 2.9 millimeters.
One bald eagle egg was 74.9 millimeters long. The Z-score for this egg was 0.45.

Which statements correctly interpret the Z-score?

Choose two correct answers.

The length of this egg was 0.45 standard deviations above the mean length.

This egg was 0.45 millimeters longer than the mean.

This egg was longer than 45 percent of the eggs in the study.

This egg was longer than the mean by 0.45 standard deviations, or 1.3 millimeters.

The length of this egg was 0.45 times the mean.

One study of 91 bald eagle eggs found that the eggs had a mean length of 73.6 millimeters and standard deviation of 2.9 millimeters. One bald eagle egg was 74.9 millimeters long. The Z-score for this egg was 0.45. This means the length of this egg was 0.45 standard deviations above the mean length.

What is Z - score?

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean.

If a Z-score is 0, it indicates that the data point's score is identical to the mean score. A Z-score of 1.0 would indicate a value that is one standard deviation from the mean. Z-scores may be positive or negative, with a positive value indicating the score is above the mean and a negative score indicating it is below the mean.

The definition simply implies that the Z-score for the egg of 0.45 means the length of this egg was 0.45 standard deviations above the mean length.

Learn more about Z-score here

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