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?
(1 point)
MAD; the data distribution has outliers
IQR; the data distribution is skewed
IQR; the data distribution is symmetrical
MAD; the data distribution is symmetrical

Answer 1

IQR; the data distribution is skewed.

Reason: there are two unusually low scores (0) giving a left tail (median = 3, mean ≈ 2.56), so the distribution is skewed and the robust IQR is the preferable measure of spread.