Yes, a z-score can be more than 1.
A z-score measures how many standard deviations a data point is away from the mean.
- A z-score of 1 means the data point is one standard deviation above the mean.
- A z-score of 2 means the data point is two standard deviations above the mean.
- A z-score of -1 means the data point is one standard deviation below the mean.
Therefore, a z-score can be any positive or negative number, including numbers larger than 1.
For example, if a data point is three standard deviations above the mean, its z-score would be 3.
Practical Insights:
- Z-scores are useful for comparing data points from different distributions.
- Z-scores help identify outliers, which are data points that are significantly different from the rest of the data.
Conclusion:
Z-scores can be greater than 1, indicating that the data point is more than one standard deviation away from the mean.
