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.
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In a normal distribution, the mean ( |
Step 1: Recall the formula for the z-score, which is |