Question

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

For a statistics assignment , Darryl randomly surveyed students on how many hours per week they spend playing video games:
1.0, 2.0, 2.0, 2.0, 3.0, 3.0, 6.5, 7.0, 7.0, 8.0, 10.0, 18.0
A. Range; the distribution is skewed, and there are outlier in the dataset.
B. IQR; the distribution is skewed, and there are outlier in the dataset.
C. IQR; the distribution is symmetrical, or close to it , and there aren't any outlier in the dataset.
D. Range; the distribution is symmetrical, or close to it , and there aren't any outlier in the dataset
Explain

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The IQR (Interquartile Range) is a measure of variability that is less influenced by outliers compared to the range. In this dataset, there are some extreme values like 18.0 which can significantly affect the range but have less impact on the IQR. Additionally, the distribution is skewed, meaning that the data is not symmetrical and may not be accurately represented by the range. Therefore, the IQR would be a better measure of variability to describe the spread of this dataset.