Question

study the box and whisker plots below and answer the following questions. figure 2. carls and angelas box and whisker plots salesperson angela salesperson carl 0 10 20 30 40 50 60 70 1. what was carls median sales score? ______ 2. what is angelas interquartile range? ______

Explanation:

Step1: Recall box - and - whisker plot properties

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

Step2: Find Carl's median

Looking at Carl's box - and - whisker plot, the line inside the box is at 30. So Carl's median sales score is 30.

Step3: Recall inter - quartile range (IQR) formula

The inter - quartile range is \(IQR = Q_3 - Q_1\), where \(Q_3\) is the third quartile and \(Q_1\) is the first quartile. In a box - and - whisker plot, the left - hand side of the box is \(Q_1\) and the right - hand side of the box is \(Q_3\).

Step4: Identify \(Q_1\) and \(Q_3\) for Angela

For Angela's box - and - whisker plot, \(Q_1 = 20\) and \(Q_3=40\).

Step5: Calculate Angela's IQR

Using the formula \(IQR = Q_3 - Q_1\), we substitute \(Q_1 = 20\) and \(Q_3 = 40\). So \(IQR=40 - 20=20\).

Answer:

1. 30
2. 20