What statistical concept is represented by the z-score value?

The z-score is a statistical measurement that indicates how many standard deviations a data point is from the mean of a dataset. This means that the z-score quantifies the distance between an individual data value and the overall mean. A z-score can be positive or negative, reflecting whether the data point is above or below the mean, respectively.

For example, a z-score of 2 signifies that the data point is two standard deviations above the mean, while a z-score of -1 indicates that it is one standard deviation below the mean. This standardized score allows for comparison between different datasets and provides insights into the relative position of a specific value within the context of the overall data distribution.

Understanding the representation of z-scores is crucial in various statistical analyses, particularly in determining probabilities, conducting hypothesis testing, and identifying outliers in datasets. Thus, the concept of distance from the mean is central to the interpretation of z-scores.