To analyze the speed variations on the local road based on the information provided, we know that the average speed is 50 mph with a variation of ±6 mph. This means that the speed can range from:
- Lowest speed: 50 mph - 6 mph = 44 mph (slowest)
- Highest speed: 50 mph + 6 mph = 56 mph (fastest)
Since people drive slowest on Sundays, we can establish the following speeds for each day of the week:
- Sunday: 44 mph (slowest)
- Monday: 46 mph
- Tuesday: 48 mph
- Wednesday: 50 mph (average)
- Thursday: 52 mph
- Friday: 54 mph
- Saturday: 56 mph (fastest)
This distribution shows the average speed varying by 2 mph each day, starting from 44 mph on Sunday and reaching a peak of 56 mph on Saturday.