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

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

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

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

MAD; the data distribution has outliers

Answer 1

[AI-generated answer — Bot GPT 3.5]

IQR; the data distribution is symmetrical

The Interquartile Range (IQR) is typically used for describing the spread of a dataset when the distribution is symmetrical. In this case, since the data consists of a uniform distribution of goals scored, with an equal number of observations on either side of the median, the IQR would be the most appropriate measure of variability.