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?

1 answer

In this case, the Interquartile Range (IQR) would best describe the spread of the dataset. The IQR is a measure of variability that looks at the middle 50% of the data, which makes it ideal for datasets that have outliers, like the one provided, as it is not influenced by extreme values. In this dataset, the IQR would give a better understanding of the spread of goals scored in one season at Whitmore College soccer games.