The following data represent the scores of 50 students on a statistics exam. $$\begin{array} { l l l l l l l l l l }
39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \
71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \
79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \
85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \
90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98
\end{array}$$ a. Find the lower quartile, the upper quartile, and the median of the scores.
b. Find the interquartile range of the data and use it to identify potential outliers.
c. In a box plot for the data, which scores, if any, would be outside the outer fences?
Which scores, if any, would be outside the inner fences but inside the outer fences?

Question

The following data represent the scores of 50 students on a statistics exam. $$\begin{array} { l l l l l l l l l l } 
39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \
71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \
79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \
85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \
90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98
\end{array}$$ a. Find the lower quartile, the upper quartile, and the median of the scores.
b. Find the interquartile range of the data and use it to identify potential outliers.
c. In a box plot for the data, which scores, if any, would be outside the outer fences?
Which scores, if any, would be outside the inner fences but inside the outer fences?

Quizplus · Accepted Answer

The Answer of The following data represent the scores of 50 students on a statistics exam. $$\begin{array} { l l l l l l l l l l } 
39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \
71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \
79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \
85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \
90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98
\end{array}$$ a. Find the lower quartile, the upper quartile, and the median of the scores.
b. Find the interquartile range of the data and use it to identify potential outliers.
c. In a box plot for the data, which scores, if any, would be outside the outer fences?
Which scores, if any, would be outside the inner fences but inside the outer fences?

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