A z-score of 0 corresponds to which value?

A z-score represents the number of standard deviations a data point is from the mean of the distribution. When a z-score is equal to 0, it indicates that the value of the data point is exactly at the mean. This fundamental concept in statistics shows that a z-score measures the relative position of a value within a data set, specifically in relation to the mean.

In the context of this question, a z-score of 0 directly corresponds to the mean because it signifies no distance from the average value of the dataset. This is crucial for understanding distributions, as it establishes the central point around which data points are spread.

The other options (standard deviation, interquartile range, and 75th percentile) do not directly relate to a z-score of 0. The standard deviation measures variability or spread in the data set, the interquartile range indicates the range in which the middle 50% of values lie, and the 75th percentile represents a value below which 75% of the data falls, none of which align with the definition of a z-score of 0 being at the mean.