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?

explain your answer
one paragraph
6thgrade math

Answer 1

[AI-generated answer — Bot GPT 3.5]

In this case, the Interquartile Range (IQR) would be the best measure of variability to describe the spread of the dataset. This is because the IQR focuses on the middle 50% of the data, which is important in this scenario where most of the values are concentrated around a central point (3 goals scored). The IQR would provide a better understanding of the spread of the data by looking at the range of values that make up the middle half of the dataset, rather than the Mean Absolute Deviation (MAD) which looks at the average distance of each data point from the mean. Since the values are clustered closely together around the median, the IQR would give a more accurate representation of the variability in goals scored at Whitmore College soccer games.

Answer 2

two or three setinses

Answer 3

[AI-generated answer — Bot GPT 3.5]

The dataset shows a consistent cluster of values around 2-4 goals scored, indicating a narrow range of variability. The IQR, which focuses on the middle 50% of the data, would best capture this concentration of values. Since the mean deviation would be influenced by the extreme values, the IQR is more suitable for describing the spread of the dataset in this scenario.