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The sign of the z score is negative if the observation was below the mean and positive if it was greater.
A high z-score indicates an observation that is further away from the mean. This indicates that either the observation is less probable or that assumptions about the distribution are wrong.
The z-score for an observation (or a set of them) can only be calculated if the mean and standard deviation are known. Neither of them are given in this question.
z score = (test score - mean score)/SD z score = (87-81.1)/11.06z score = 5.9/11.06z score = .533You can use a z-score chart to calculate the probability from there.
zscore