Question

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
(1 point)
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 in the dataset.
Range; 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

Answer 1

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

Reason: Q1 = 10, Q3 = 15 so IQR = 5. The lower outlier fence is Q1 − 1.5·IQR = 10 − 7.5 = 2.5, so 1.0, 1.0, and 2.0 are outliers. Range (max − min = 17) is inflated by those outliers, so the IQR is the better measure of spread.