Question

constructing a two-way table using driving data
car models, weights, and city mileage per gallon
based on the weights and city mileage per gallon provided in the table, which description is the most appropriate way to categorize the car weights for further analysis?

car model	weight (lbs)	city mileage per gallon (mpg)
car b	3,000	24
car c	3,500	20
car d	2,800	26
car e	4,000	18
car f	2,600	30
car g	3,800	22
car h	4,100	17

• light (less than 2,000 lbs), medium (2,000 to 2,800 lbs), heavy (more than 2,800 lbs)
• light (less than 3,800 lbs), medium (3,800 to 4,000 lbs), heavy (more than 4,100 lbs)
• light (less than 3,000 lbs), medium (3,000 to 3,500 lbs), heavy (more than 3,500 lbs)
• light (less than 1,500 lbs), medium (1,500 to 2,500 lbs), heavy (more than 4,000 lbs)

Explanation:

1. Analyze each option by checking if car weights fit the categories:

• Option 1: Car A (2500) is light? No, 2500 ≥ 2000. Car D (2800) is medium? 2800 is equal to 2800, but the medium is 2000 - 2800, but Car B (3000) would be heavy (3000 > 2800), but Car C (3500) is also heavy. This misclassifies as Car B (3000) is heavy here, but let's check other options.
• Option 2: Car E (4000) is medium (3800 - 4000), Car H (4100) is heavy. But Car A (2500) is light (2500 < 3800), which is too broad.
• Option 3:
• Light: Car A (2500), Car D (2800), Car F (2600) (all < 3000).
• Medium: Car B (3000), Car C (3500? No, 3500 > 3500? Wait, 3000 - 3500: Car B (3000), Car C (3500 is equal? Wait, the option says 3000 to 3500. Car C is 3500, so medium. Car G (3800) is heavy (3800 > 3500), Car E (4000) heavy, Car H (4100) heavy. Wait,[SSE Completed, Client Connection Error][SSE onError error]

Answer:

The third option (light (less than 3,000 lbs), medium (3,000 to 3,500 lbs), heavy (more than 3,500 lbs))