Question

# Give me a break pls just answer right The line plots represent data collected on the travel times to school from two groups of 15 students. A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times. A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times. Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer. Bus 47, with an IQR of 8 Bus 14, with an IQR of 6 Bus 47, with a range of 8 Bus 14, with a range of 6

Answer

Bus 14, with an IQR of 6, is the most consistent based on the interquartile range.

- Identify the measure of variability that can determine which bus is the most consistent. A: The interquartile range (IQR) is the best measure of variability for this comparison.
- Calculate the IQR for Bus 47. A: The quartiles for Bus 47 are Q1 = 10, Q2 = 16, Q3 = 18. Therefore, IQR = Q3 - Q1 = 18 - 10 = 8.
- Calculate the IQR for Bus 14. A: The quartiles for Bus 14 are Q1 = 14, Q2 = 18, Q3 = 20. Therefore, IQR = Q3 - Q1 = 20 - 14 = 6.
- Compare the IQRs of Bus 47 and Bus 14. A: Bus 47 has a larger IQR, indicating that it has more variability in travel times. Therefore, Bus 14 is the most consistent.