Question

students in a science class took a final exam. the box - and - whisker plot (sometimes called a boxplot) summarizes the exam scores.use the box - and - whisker plot to answer the following.(a) what is the median exam score?(b) what is the highest exam score?(c) what is the third quartile (q₃) of the exam scores?

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the line inside the box represents the median. The right - most end of the whisker (or the end of the box if there is no whisker extending further) represents the maximum value. The right - hand side of the box represents the third quartile \(Q_3\).

Step2: Find the median

Looking at the box - and - whisker plot, the line inside the box is at \(77.5\). So the median is \(77.5\).

Step3: Find the highest score

The right - most end of the whisker (assuming no outliers beyond the whisker) is at \(95\). So the highest score is \(95\).

Step4: Find the third quartile

The right - hand side of the box is at \(80\). So \(Q_3 = 80\).

Answer:

(a) \(77.5\)
(b) \(95\)
(c) \(80\)