Question

Determine whether the range or interquartile range best describes the spread of a dataset.

The times (in seconds) for a high school boys’ 100-meter race:

11.0 11.2 11.7 12.2 12.4 12.6 12.8 12.9 13.1 13.3 13.8 14.2 14.3 14.3 16.5 17.6 18.0

(1 point)
Responses

Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.
Range; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.

IQR; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.
IQR; the distribution is symmetrical, or close to it, and there aren’t any outliers in the dataset.

IQR; the distribution is skewed, and there are outliers in the dataset.
IQR; the distribution is skewed, and there are outliers in the dataset.

Range; the distribution is skewed, and there are outliers in the dataset.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Range; the distribution is skewed, and there are outliers in the dataset.

In this case, the range would be the most appropriate measure of spread as the dataset is skewed and there are outliers present. The interquartile range (IQR) is typically used when the distribution is symmetrical and there are no outliers affecting the spread.