Question

8TH POST OF THIS HELP ME WITH IT

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

(b) Bus 14, with an IQR of 6

Explanation:

You want a determination of the bus with the most consistent travel times given dot plots of their travel times.

Data

The dot plots can also be written as sorted lists of travel times. These are ...

Bus 47: {4, 6, 10, 10, 12, 12, 14, 16, 16, 16, 18, 18, 22, 22, 28}

Bus 14: {8, 8, 10, 12, 12, 12, 12, 14, 14, 16, 18, 18, 18, 20, 28}

Stats

The range is the difference between the last and first of each list:

Bus 47 range = 28 -4 = 24 . . . . . eliminates choice C

Bus 14 range = 28 -8 = 20 . . . . . eliminates choice D

The IQR is the difference between the 12th and 4th values in each of these sorted lists:

Bus 47 IQR = 18 -10 = 8

Bus 14 IQR = 18 -12 = 6

Consistent

The bus with the most consistent travel times is the one with the smallest IQR. The most consistent is ...

Bus 14, with an IQR of 6, choice B.

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