Determine whether the range or interquartile range best describes the spread of a dataset.

The times (in seconds) for a high school boys’ 100-meter race:

11.0 11.2 11.7 12.2 12.4 12.6 12.8 12.9 13.1 13.3 13.8 14.2 14.3 14.3 16.5 17.6 18.0

1 answer

In this case, the interquartile range would best describe the spread of the dataset. The interquartile range is a measure of variability that considers only the middle 50% of the data. It is calculated by finding the difference between the first quartile (Q1) and the third quartile (Q3).