Question

the salaries, in thousands of dollars, of all individuals employed at an oceanic cleanup company are depicted in the box - plot below. what is the interquartile range (iqr) of the salaries?

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is given by $IQR = Q_3 - Q_1$, where $Q_3$ is the third - quartile and $Q_1$ is the first - quartile.

Step2: Identify $Q_1$ and $Q_3$ from box - plot

In a box - plot, the lower edge of the box represents $Q_1$ and the upper edge of the box represents $Q_3$. From the box - plot, we can see that $Q_1 = 60$ and $Q_3=80$.

Step3: Calculate IQR

Substitute $Q_1 = 60$ and $Q_3 = 80$ into the IQR formula: $IQR=Q_3 - Q_1=80 - 60 = 20$.

Answer:

20