Final answer:
The question is about constructing and interpreting a box plot for a given data set, identifying key components like quartiles, median, interquartile range (IQR), and potential outliers.
Step-by-step explanation:
The question involves creating a box plot, also known as a box-and-whisker plot, to represent a provided data set. The data values mentioned must be ordered and then used to identify five key statistics: the minimum, first quartile (Q1), median (second quartile, Q2), third quartile (Q3), and the maximum.
To begin, we place a number line that includes the smallest and largest data values. The box is drawn such that it starts at Q1 and ends at Q3, containing the middle 50% of the data. The median is marked inside the box. The whiskers extend from the ends of the box to the minimum and maximum data values. A box plot is particularly useful as it provides insight into the distribution, symmetry, and potential outliers of the data set.
In the context of examining box plots, the concepts of range, interquartile range (IQR), and possible outliers are primary considerations. The IQR is the range of the middle 50 percent of the data values, which is the range between Q1 and Q3. Outliers can be identified as any data points that are more than 1.5 times the IQR above Q3 or below Q1. The question does not explicitly request the identification of outliers but knowing how to identify them is still an essential skill when interpreting box plots.