Z-scores

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A data set is normally distributed with the *mean* value $\mu = 78.00$ and *standard deviation* $\sigma = 17.00$. Find the *z-score* of the data value $x = 46.00$

**Answer**

*z-score $z = \frac{x-\mu}{\sigma} = \frac{46.00 - 78.00}{17.00}=-1.88$
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