Question

interpreting a box - and - whisker plot
a golfer recorded the score for each round of golf she played in a season. the box - and - whisker plot (sometimes called a boxplot) summarizes these scores.
use the box - and - whisker plot to answer the following.
(a) what is the median score?
(b) what is the highest score?
(c) what is the third quartile (q₃) of the scores?

Explanation:

Step1: Recall the definition of median in box - and - whisker plot

The median is the line inside the box.

Step2: Recall the definition of highest score in box - and - whisker plot

The highest score is the end of the right - most whisker (excluding outliers).

Step3: Recall the definition of third quartile in box - and - whisker plot

The third quartile \(Q_3\) is the right - hand side of the box.

Assume from the box - and - whisker plot (since the actual numerical values on the box - and - whisker plot are not clear in the text, but following the general rules):

• For the median: If the line inside the box is at \(80\) (assuming based on common box - and - whisker plot interpretations where the scale is as per the problem's x - axis).
• For the highest score: If the right - most whisker (non - outlier) is at \(105\).
• For the third quartile: If the right - hand side of the box is at \(85\).

Answer:

(a) \(80\)
(b) \(105\)
(c) \(85\)