a _____ determines how far a particular value is from the mean relative to the data set’s standard deviation.

4 hours ago 3
Nature

The term that determines how far a particular value is from the mean relative to the data set’s standard deviation is called the z-score (or standard score). A z-score quantifies the distance between a data point and the mean in units of standard deviations. For example, a z-score of 1 means the value is one standard deviation above the mean, while a z-score of -2 means it is two standard deviations below the mean

. In summary:

  • The standard deviation measures the overall spread or variation of data values around the mean
  • The z-score expresses how far a specific value is from the mean in terms of standard deviations, providing a relative measure of position within the distribution

Thus, the blank in your query is filled by z-score.