topic: measures of center\nprogress:\nthe movement of the progress bar may be uneven because questions can…

Explanation:

Step1: Find the minimum value

The minimum value of the data - set (6,7,8,10,18,20,22,25,28,28,30,30) is (6).

Step2: Find the first - quartile ((Q_1))

The data - set has (n = 12) values. The lower half of the data is (6,7,8,10,18,20). The median of the lower half ((Q_1)) is (\frac{8 + 10}{2}=9).

Step3: Find the median ((Q_2))

Since (n = 12) (an even number of data points), the median (Q_2=\frac{20 + 22}{2}=21).

Step4: Find the third - quartile ((Q_3))

The upper half of the data is (22,25,28,28,30,30). The median of the upper half ((Q_3)) is (\frac{28+28}{2}=28).

Step5: Find the maximum value

The maximum value of the data - set is (30). A box - and - whisker plot has the minimum value at the left - most end of the left whisker, (Q_1) at the left end of the box, the median at the line inside the box, (Q_3) at the right end of the box, and the maximum value at the right - most end of the right whisker. We look for a box - and - whisker plot with the left - most point at (6), the left side of the box around (9), the line in the box around (21), the right side of the box around (28), and the right - most point at (30).

Answer:

(The correct box - and - whisker plot is the one that has the minimum value at (6), (Q_1\approx9), median (\approx21), (Q_3\approx28), and maximum value at (30). Since the options are not labeled, you would need to visually inspect which plot has these characteristics.)