select the correct answer. the box plot below represents the number of hours judy takes to complete a quilt…

Explanation:

Step1: Identify key - values from box - plot

The minimum value is around 22, the first quartile ($Q_1$) is around 28, the median ($Q_2$) is around 32, the third quartile ($Q_3$) is around 34, and the maximum value is around 39.

Step2: Sort each data - set

For option A:

Sort 39, 32, 29, 22, 33, 29, 25, 37, 34: 22, 25, 29, 29, 32, 33, 34, 37, 39. $Q_1=\frac{29 + 29}{2}=29$, not 28.

For option B:

Sort 32, 36, 27, 30, 22, 35, 39, 28, 34: 22, 27, 28, 30, 32, 34, 35, 36, 39. $Q_1 = 28$, $Q_2=32$, $Q_3 = 35$, close to the box - plot values.

For option C:

Sort 25, 36, 30, 32, 34, 39, 22, 29, 36: 22, 25, 29, 30, 32, 34, 36, 36, 39. $Q_1=\frac{25+29}{2}=27$, not 28.

For option D:

Sort 22, 27, 38, 34, 24, 32, 33, 30, 39: 22, 24, 27, 30, 32, 33, 34, 38, 39. $Q_1=\frac{24 + 27}{2}=25.5$, not 28.

Answer:

B. 32, 36, 27, 30, 22, 35, 39, 28, 34