Which measure of variability range or IQR best describes the spread of the dataset?

For a statistics assignment, Shayna randomly surveyed students on how many hours per week they spend playing online games:
1.0 1.0 2.0 6.5 10.0 10.0 10.0 10.0 12.0 12.5 14.0 14.0 14.0 14.0 15.0 15.0
15.5 16.0 17.5 18.0

A. IQR; the distribution is symmetrical, or close to it, and there aren't any outliers in the dataset.
B. IQR; the distribution is skewed, and there are outliers in the dataset.
C. Range; the distribution is symmetrical, or close to it, and there aren't any outliers in the dataset
D.Range, the distribution is skewed, and there are outliers in the dataset.

1 answer

A. IQR; the distribution is symmetrical, or close to it, and there aren't any outliers in the dataset.

The interquartile range (IQR) is typically used to describe the spread of a dataset when the distribution is symmetrical or close to it, and there are no outliers. In this case, the dataset of hours spent playing online games appears to be fairly symmetrical, with no extreme outliers. Thus, the IQR would be a more appropriate measure of variability in this situation.