z-score of a value=(that value minus the mean)/(standard deviation). So if a value has a negative z-score, then it is below the mean.
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Yes. If much of your data has negative values, it's likely that the mean will be negative, too.
positive
It depends on the context. It may mean quiet, unruffled (positive) or it could mean too laid back to do anything (negative).
Yes. If a score is below the mean, the z score will be negative.
Negative.