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Question
a data set has the following characteristics:
mean: 4.9
median: 6
mode: 6
variance: 4
the z - score is the number of standard deviations a data value is away from the
options: mean, quartile, standard deviation
The z - score is defined as the number of standard deviations a data value is away from the mean. The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x$ is the data value, $\mu$ is the mean, and $\sigma$ is the standard deviation. Quartiles are used in box - and - whisker plots to divide data into four parts, and they are not related to the concept of z - score in this way. And the z - score measures the distance from the mean, not from the standard deviation itself.
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