\mu = MEAN and \sigma = STDDEV.
GRADE on the exam.
Find the z-score for person( 1 )'s exam grade. Round to two decimal places.
A z-score is defined as the number of standard deviations a specific point is away from the mean.
We can calculate the z-score for person( 1 )'s exam grade by subtracting the mean (\mu) from
his( 1 ) grade and then dividing by the standard deviation (\sigma).
\large{\quad z \quad = \quad
\dfrac{x - \color{PINK}{\mu}}{\color{GREEN}{\sigma}}}
\large{\quad z \quad = \quad
\dfrac{GRADE - \color{PINK}{MEAN}}{\color{GREEN}{STDDEV}}}
\large{\quad z \quad = \quad ZSCORE}
The z-score is ZSCORE. In other words, person( 1 )'s score was abs( ZSCORE )
standard deviationplural( abs( ZSCORE ) ) abovebelow the mean.