# A normally distributed data set has a mean of 53 and a standard deviation of 2.5. What Z-score corresponds to a data value of 47?

$Z = - 2.4$
Just use the formula $Z = \frac{X - \mu}{\sigma}$ to get $Z = \frac{47 - 53}{2.5} = - \frac{6}{2.5} = - 2.4$.