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 skewed, and there are outliers in the dataset.
Range; the distribution is skewed, and there are outliers in the dataset.
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.
The range or interquartile range can be used to describe the spread of a dataset. To determine which one is more appropriate, we need to consider the characteristics of the dataset.
In this case, the dataset represents the times (in seconds) for a high school boys' 100-meter race. The values in the dataset are:
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
Based on the values, we can see that there is a considerable difference between the minimum value (11.0 seconds) and the maximum value (18.0 seconds). Additionally, there are two values that are much higher than the rest of the dataset: 16.5 seconds and 17.6 seconds.
Considering these characteristics, we can conclude that the dataset has outliers, and the distribution is skewed. Therefore, the best measure to describe the spread of this dataset would be the range.
So, the correct answer is:
Range; the distribution is skewed, and there are outliers in the dataset.