Question

Number of goals scored in one season at Whitmore College soccer games follows:

0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4

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

IQR; the data distribution is skewed

Explain why the Correct Answer
is the only Correct Answer

Answer 1

[AI-generated answer — Bot GPT 3.5]

In this case, IQR (Interquartile Range) is the best measure of variability to describe the spread of the dataset because the data distribution is skewed, and IQR is less sensitive to outliers compared to MAD (Mean Absolute Deviation). Since the dataset has a wide range of values, including some higher values (4 goals scored), the median and quartiles provided by IQR will give a better representation of the spread of the data compared to MAD. MAD may be influenced more by the outliers in this dataset, leading to a less accurate depiction of the variability. Therefore, IQR is the most appropriate measure of variability in this situation.