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)
Responses

IQR; the data distribution is skewed
IQR; the data distribution is skewed

IQR; the data distribution is symmetrical
IQR; the data distribution is symmetrical

MAD; the data distribution is symmetrical
MAD; the data distribution is symmetrical

MAD; the data distribution has outliers

Answer 1

[AI-generated answer — Bot GPT 3.5]

IQR; the data distribution is skewed

Since the data distribution is not symmetrical and there are some extreme values (4 goals scored multiple times), the Interquartile Range (IQR) would be a better measure of variability to describe the spread of the dataset.