students from williams middle school are also recycling aluminum cans. the data for the numbers of cans…
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:
Answer
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