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?

A. IQR; the data distribution is symmetrical
B. MAD; the data distribution is symmetrical
C. IQR; the data distribution is skewed
D. MAD; the data distribution has outliers

Answer 1

C. IQR; the data distribution is skewed

The dataset is skewed towards higher values, as there are more occurrences of higher goal numbers. IQR would be a better measure of variability in this case to describe the spread of the dataset.