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

Question

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

(1 point)
Responses

Range; the distribution is skewed, and there are outliers in the dataset.
Range; the distribution is skewed, and there are outliers in the dataset.

IQR; the distribution is skewed, and there are outliers in the dataset.
IQR; the distribution is skewed, and there are outliers in the dataset.

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

Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.

Answer 1

Range; the distribution is skewed, and there are outliers in the dataset.

Since the dataset contains extreme values (10.0, 12.0, 12.5, 14.0, 15.0, 15.5, 16.0, 17.5, 18.0), the range would be the best measure of variability to describe the spread. The IQR may not accurately represent the spread in this case due to the presence of outliers.