Question

Which box plot represents the data set?
{27, 20, 14, 15, 16, 17, 18, 19, 18, 19, 21}

Answer 1

Minimum-14

Lower Quartile-16

Medium-18

Upper Quartile-20

Maximum-27

Answer 2

The box plot is shown below.

Explanation:

The given data set is

27, 20, 14, 15, 16, 17, 18, 19, 18, 19, 21

Arrange the data set in ascending order.

14, 15, 16, 17, 18, 18, 19, 19, 20, 21, 27

Divide the data set in two equal parts.

(14, 15, 16, 17, 18), 18, (19, 19, 20, 21, 27)

Divide each parenthesis in two equal parts.

(14, 15), 16, (17, 18), 18, (19, 19), 20, (21, 27)

Now, we get

`Minimum=14`

`Q_1=16`

`Median=18`

`Q_3=20`

`Maximum=27`

The end points of line are 14 and 27. The ends of box plots are 16 and 20. A line inside the box at 18.

The box plot is shown below.