Question

students from williams middle school are also recycling aluminum cans. the data for the numbers of cans brought in each school day for a month were divided by quartiles and summarized in the box plot. use the drop - down menus to choose the median, interquartile range, and range. median: interquartile range: range:

Explanation:

Step1: Identify median from box - plot

The line inside the box represents the median. From the box - plot, the median is at 18.

Step2: Calculate inter - quartile range

The inter - quartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$). The left - hand side of the box is $Q_1$ and the right - hand side is $Q_3$. Here, $Q_1 = 16$ and $Q_3=20$, so $IQR=Q_3 - Q_1=20 - 16 = 4$.

Step3: Calculate range

The range is the difference between the maximum and minimum values. The minimum value is 10 and the maximum value is 28, so the range is $28 - 10=18$.

Answer:

Median: 18
Interquartile range: 4
Range: 18