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fill in the blank so that the resulting statement is true.
a z - score describes how many standard deviations a data item in a normal distribution lies above or below the
a z - score describes how many standard deviations a data item in a normal distribution lies above or below the
The z - score formula is \(z=\frac{x - \mu}{\sigma}\), where \(x\) is the data item, \(\mu\) is the mean of the distribution, and \(\sigma\) is the standard deviation. The numerator \(x-\mu\) gives the deviation of the data item \(x\) from the mean \(\mu\), and dividing by \(\sigma\) (standard deviation) gives the number of standard deviations that \(x\) is away from the mean. A positive \(z\) - score indicates the data item is above the mean, and a negative \(z\) - score indicates it is below the mean.
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