Question

select the correct answer. the box plot below represents the number of hours judy takes to complete a quilt. which data set could be represented by this box plot? a. 39, 32, 29, 22, 33, 29, 25, 37, 34 b. 32, 36, 27, 30, 22, 35, 39, 28, 34 c. 25, 36, 30, 32, 34, 39, 22, 29, 36 d. 22, 27, 38, 34, 24, 32, 33, 30, 39

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