Suppose that your score on an exam has a positive z-score in comparison to your classmates. A. Is it possible that your score is below the mean score?
Positive z-scores are above the mean; negative z-scores are below the mean.
To determine whether it is possible for your score to be below the mean score despite having a positive z-score, you need to understand the relationship between z-scores and the mean. A z-score represents the number of standard deviations above or below the mean a particular value falls.
If your score has a positive z-score, it means that your score is above the mean of the distribution. The sign of the z-score indicates whether the score is above (+) or below (-) the mean.
Therefore, if your score has a positive z-score, it is not possible for your score to be below the mean score. Your score is guaranteed to be higher than the mean because the positive z-score indicates that your score is above average compared to your classmates.