Question

1. (l3) use the box plot to determine which statement is true: a. the median income for musicians is greater than the median income for nuclear engineers. b. the median income for police officers and musicians are the same. c. all nuclear engineers earn more than all police officers. d. the minimum income for musicians is $20,000. 7. (l3) using the box plot from #6, identify which profession you would pick, based on salary. justify your answer using vocabulary from the word bank.

Explanation:

Step1: Analyze box - plot for median

In a box - plot, the line inside the box represents the median. The median for nuclear engineers is higher than that for musicians, so option a is false. The median for police officers and musicians is different, so option b is false.

Step2: Analyze box - plot for range

The box - plot shows that the ranges of nuclear engineers' and police officers' incomes overlap, so not all nuclear engineers earn more than all police officers, option c is false.

Step3: Analyze box - plot for minimum

For musicians, the end of the left - whisker (minimum value) is at 20 (in thousands of dollars), so the minimum income for musicians is $20,000, option d is true.

for question 7:
If aiming for a higher median income, nuclear engineers would be a good choice as their median income (the line inside the box) is the highest among the three professions shown in the box - plot. Also, the inter - quartile range (IQR, the length of the box) for nuclear engineers is relatively large, indicating a wider spread of middle 50% of the data. If one is risk - averse and wants a more stable income range, police officers might be considered as their IQR is smaller compared to nuclear engineers and musicians. Musicians have a large spread of data with a low minimum value and a high maximum value, which means there is a lot of variability in their incomes.

Answer:

d. The minimum income for musicians is $20,000.