Final answer:
To construct a box plot, consider the minimum value, first quartile, median, third quartile, and maximum value. The stemplot shows the quiz grades. The correct boxplot displays the distribution of quiz grades with appropriate ranges and a dividing line.
Step-by-step explanation:
To construct a box plot, you need to consider the minimum value, the first quartile, the median, the third quartile, and the maximum value of the data. The stemplot given in the question shows the grades (out of 30) that 26 students received on a quiz. The stemplot includes the values 12, 14, 15, 16, 20, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30.
The correct boxplot that displays the distribution of quiz grades is the fourth option provided. This boxplot has a number line ranging from 12 to 30. The whiskers range from 12 to 30, and the box ranges from 18 to 27. The line dividing the box is located at 24.