What would a Z-score of +2 indicate about a particular score in relation to the mean?

A Z-score is a statistical measure that indicates how many standard deviations a data point is from the mean of a dataset. When the Z-score is positive, it signifies that the score is above the mean. Specifically, a Z-score of +2 means that the particular score is two standard deviations above the mean.

In this context, understanding Z-scores helps in interpreting how atypical or typical a score is within a given distribution. A Z-score of +2 not only indicates that the score surpasses the average, but it also provides insight into its relative position within the dataset. Scores that are further away from the mean (whether above or below) generally signify more unusual or extreme values, which can be important in various statistical analyses.

The other choices do not accurately reflect the meaning of a Z-score of +2, as they either misinterpret its relationship to the mean or misstate the direction and extent of deviation from the mean. This reinforces how Z-scores can provide a clear and standard way to assess scores in relation to the overall data distribution.