the data set represents the total number of pencils each student in a class needs to sharpen. 0, 1, 1, 1, 2…

Explanation:

Step1: Arrange data in ascending order

$0,1,1,1,1,2,3,4,4,6,6,9$

Step2: Find the median (Q2)

There are 12 data - points. The median is the average of the 6th and 7th ordered values. So, $Q2=\frac{2 + 3}{2}=2.5$

Step3: Find the lower half of data

The lower half is $0,1,1,1,1,2$. The median of the lower half (Q1) is 1.

Step4: Find the upper half of data

The upper half is $3,4,4,6,6,9$. The median of the upper half (Q3) is $\frac{4+6}{2}=5$

Step5: Identify the minimum and maximum

The minimum value is 0 and the maximum value is 9.

In a box - plot, the left - hand side of the box is at Q1, the line inside the box is at Q2, the right - hand side of the box is at Q3, the left whisker extends to the minimum, and the right whisker extends to the maximum.

The box should start at 1, have a line at 2.5, end at 5, with a left - hand whisker starting at 0 and a right - hand whisker ending at 9.

Answer:

The box - plot with the box starting at 1, the line inside the box at 2.5, the box ending at 5, the left whisker starting at 0 and the right whisker ending at 9.