Question

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

Answer below :)

Explanation:

To determine which bus is the most consistent, we need to look at the measures of variability for each bus. The two measures of variability that are commonly used are the range and the interquartile range (IQR).

The range is the difference between the maximum and minimum values in a dataset. It gives an idea of how spread out the data is but can be affected by extreme values or outliers. The IQR is a better measure of variability as it is not affected by extreme values and is a more robust measure of variability.

Looking at the given data, Bus 47 has a range of 8 and an IQR of 8, while Bus 14 has a range of 6 and an IQR of 6. This indicates that Bus 14 has less variability in its travel times than Bus 47.

Therefore, we can conclude that Bus 14 is the most consistent in terms of travel times.