The Following Data Represent the Scores of 50 Students on a Statistics

Short Answer

The following data represent the scores of 50 students on a statistics exam. The mean
score is 80.02, and the standard deviation is 11.9. $\begin{array} { l l l l l l l l l l } 39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \end{array}$
$\begin{array} { l l l l l l l l l l } 71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \end{array}$
$\begin{array} { l l l l l l l l l l } 79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \end{array}$
$\begin{array} { l l l l l l l l l l } 85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \end{array}$
$\begin{array} { l l l l l l l l l l } 90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98 \end{array}$ Find the z-scores for the highest and lowest exam scores.