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 1

Bus 14 is the most consistent, as it has a smaller interquartile range (IQR) than Bus 47. The IQR measures the spread of the middle 50% of the data, and a smaller IQR indicates that the data is more tightly clustered around the median.

Specifically, Bus 14 has an IQR of 6 (from 14-8=6 to 18+6=24), while Bus 47 has an IQR of 8 (from 12-4=8 to 22+6=28). Therefore, we can conclude that Bus 14 has less variability in its travel times, making it the more consistent of the two buses