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

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

Range; 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.

IQR; the distribution is skewed, and there are outliers

Answer 1

in the dataset.

Based on the dataset provided, the IQR (Interquartile Range) would best describe the spread of the data. This is because the IQR is less affected by outliers than the range, and it provides a better measure of the variability of the middle 50% of the data. In this case, there are no extreme outliers in the dataset, and the distribution appears to be relatively symmetrical, making the IQR a more appropriate measure of variability.