Question

question 5 the accompanying box - and - whisker plots can be used to compare the annual incomes of three professions. based on the box - and - whisker plots, which statement is true? the median income for nuclear engineers is greater than the income of all musicians. the median income for police officers and musicians is the same. all nuclear engineers earn more than all police officers. a musician will eventually earn more than a police officer.

Explanation:

Step1: Recall box - and - whisker plot properties

A box - and - whisker plot shows the minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum of a data set.

Step2: Analyze Option 1

The median of nuclear engineers is just the middle - value of nuclear engineers' income data. There are musicians with incomes above the median income of nuclear engineers, so this statement is false.

Step3: Analyze Option 2

If the median lines in the box - and - whisker plots for police officers and musicians are at the same position, then their median incomes are the same. This is a valid comparison based on box - and - whisker plots.

Step4: Analyze Option 3

There is overlap in the box - and - whisker plots of nuclear engineers and police officers, meaning there are police officers who earn more than some nuclear engineers, so this statement is false.

Step5: Analyze Option 4

The box - and - whisker plot gives no information about future earnings. It only shows current income distributions, so this statement is false.

Answer:

The median income for police officers and musicians is the same.