Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.
-The test scores of 32 students are listed below. Construct a boxplot for the data set. $\begin{array} { l l l l l l l l l } 57 & 57 & 59 & 63 & 65 & 66 & 68 & 69 \ 70 & 71 & 74 & 74 & 75 & 77 & 78 & 79 \end{array}$
$\begin{array} { l l l l l l l l } 70 & 71 & 74 & 74 & 75 & 77 & 78 & 79 \end{array}$
$\begin{array} { l l l l l } 81 & 82 & 83 & 86 & 89 \end{array}$

Question

Quizplus · Accepted Answer

To construct a boxplot, we need to first find the five-number summary (minimum, first quartile, median, third quartile, maximum). 
Minimum = 57
First Quartile = 70
Median = 74.5
Third Quartile = 78.5
Maximum = 89

The boxplot should extend from the first quartile to the third quartile, with a line at the median. The whiskers should extend to the minimum and maximum values that are not outliers, which are calculated using the interquartile range (IQR). Any values less than Q1 – 1.5 × IQR or greater than Q3 + 1.5 × IQR will be considered outliers.

In this case, there are no outliers. Therefore, the correct boxplot is shown in choice B.

Construct a Boxplot for the Given Data 57575963656668697071747475777879\begin{array} { l l l l l l l l l } 57 & 57 & 59 & 63 & 65 & 66 & 68 & 69 \\ 70 & 71 & 74 & 74 & 75 & 77 & 78 & 79 \end{array}5770​5771​5974​6374​6575​6677​6878​6979​

Construct a Boxplot for the Given Data $\begin{array} { l l l l l l l l l } 57 & 57 & 59 & 63 & 65 & 66 & 68 & 69 \\ 70 & 71 & 74 & 74 & 75 & 77 & 78 & 79 \end{array}$