A z-score is a statistical measurement that describes a value's relationship to the mean of a group of values. It 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. This measure is used to understand the standard deviation's significance, implying how extraordinary or usual a data point may be.
| Topic | Problem | Solution |
|---|---|---|
| None | In a normal distribution, the mean (\(\mu\)) is 1… | Step 1: Recall the formula for the z-score, which is \(z = \frac{x - \mu}{\sigma}\), where x is the… |