Let's work through each of the problems shown in the image:

Problem 1:

Variables in the car table: You are asked to classify the variables as either categorical or quantitative. Here's the breakdown:

• Make: Categorical (different car brands)
• Model: Categorical (names of car models)
• Price ($): Quantitative (numerical value, represents price)
• Drivetrain: Categorical (FWD, AWD, etc.)
• # doors: Quantitative (number of doors)
• City MPG: Quantitative (miles per gallon in the city)
• Engine type: Categorical (e.g., Inline 4, V6)

Problem 2:

Median of the histogram: The median represents the middle value of the data. From the histogram, you need to find the class interval containing the median, which would be the point where half of the states have damage above and half below. The distribution shows the number of states for each damage range. To find the median:

• Count how many total states there are (from the frequencies in the histogram).
• The median will be in the interval where the cumulative count reaches half of the total number of states.

Problem 3:

Histogram of the test scores: You need to use a calculator to create a histogram from the given test scores. Here are the steps to create it:

1. Enter the data into your calculator.
2. Set up appropriate class intervals (bins).
3. Plot the frequencies of scores that fall within each bin.

Would you like more details on any of these steps? Here are five follow-up questions for you to explore:

1. How do you determine the best car choice for Mr. Starnes based on the table?
2. What statistical methods can be used to further analyze the car data?
3. How does a histogram help in understanding the distribution of tornado damage across states?
4. Can the distribution of test scores be described as symmetric, skewed, or uniform?
5. What other summary statistics (mean, mode) can be calculated from the test score data?

Tip: When finding the median from a histogram, it's helpful to calculate cumulative frequencies to locate the median class easily.