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Question
the z-score is a statistical measure that quantifies the distance a data point is from the ______ of a data set.
a standard deviation
b mode
c median
d mean
The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $x$ is the data point, $\mu$ is the mean of the data set, and $\sigma$ is the standard deviation. The z - score measures how many standard deviations a data point is away from the mean. The mode is the most frequent value, the median is the middle value, and the standard deviation is a measure of spread, not the reference point for z - score. So the z - score quantifies the distance a data point is from the mean.
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d. Mean