Question

The line plots represent data collected on the travel times to school from two groups of 15 students. Labeled- Bus 47 Travel Times Numbers on the line plot are 0,2,4,6,8,10,12,14,16,18,20,22,24,26,28. One dot is above the number 4. One dot is above the number 6. Two dots are above the number 10. Two dots are above the number 12. One dot is above the number 14. Three dots above the number 16. Two dots above 18. Two dots above 22. One dot above 28. Second bus- Bus 14 Travel Times Same numbers as first line plot. Two dots above 8. One dot above 10. Four dots above 12. Two dots above 14. One dot above 16. Three dots above 18. One dot above 20. One dot above 28. Compare the data using correct measure of variability to determine which bus is most consistent explain it answer A-Bus 47 with IQR of 8 B-Bus 14 with IQR of 6 C-Bus 47 with a range of 8 D- Bus 14 with a range of 6

Answer 1

To compare the data and determine which bus is most consistent, we need to look at the measures of variability provided, which are the Interquartile Range (IQR) and the Range.

A) Bus 47 with an IQR of 8

B) Bus 14 with an IQR of 6

C) Bus 47 with a range of 8

D) Bus 14 with a range of 6

The Interquartile Range (IQR) is a measure of the spread of data within the middle 50% of the dataset, which is less affected by outliers. The Range, on the other hand, is the difference between the maximum and minimum values in the dataset.

To determine which bus is most consistent, we should choose the option with the smaller variability measure. In this case, B) Bus 14 with an IQR of 6 has a smaller IQR compared to A) Bus 47 with an IQR of 8, making Bus 14 more consistent in travel times. Therefore, the correct answer is B) Bus 14 with an IQR of 6.