Question

each day, for several weeks, a food bank recorded the number of people it served. the box - and - whisker plot (sometimes called a boxplot) summarizes the data
use the box - and - whisker plot to answer the following.
(a) what is the median number of people served?
(b) what is the smallest number of people served?
(c) what is the first quartile (q₁) of the numbers of people served?

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the median is the line inside the box.

Step2: Identify the median

Looking at the plot, the line inside the box is at \(95\).

Step3: Recall the smallest value property

The smallest value is the end of the left - most whisker.

Step4: Identify the smallest value

The end of the left - most whisker is at \(80\).

Step5: Recall first quartile property

The first quartile (\(Q_1\)) is the left - hand side of the box.

Step6: Identify the first quartile

The left - hand side of the box is at \(88\).

Answer:

(a) \(95\)
(b) \(80\)
(c) \(88\)