Which measure of variability—range or IQR—best describes the spread of the dataset?
Social studies group project grades (out of 100 points) for Mr. Chang’s first period class
85 88 90 90 92 92 95 96 99
(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 skewed, and there are outliers in the dataset.
IQR; the distribution is skewed, and there are outliers in the dataset.
IQR; 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.
To determine which measure of variability—range or IQR—best describes the spread of the dataset, we need to analyze the characteristics of the distribution and the presence of outliers.
Looking at the dataset, we see the following grades:
85 88 90 90 92 92 95 96 99
To determine if the distribution is skewed or symmetrical, we can create a box plot or visually inspect the data. However, based on the limited information provided, it is not possible to determine the skewness of the dataset.
Next, let's consider the presence of outliers. Again, without more information, it is difficult to identify any outliers in the dataset.
Given the lack of information regarding the symmetry of the distribution and the presence of outliers, it is not possible to definitively determine whether the range or the interquartile range (IQR) is the better measure of variability in this case.
Therefore, none of the provided options can be selected as the correct answer based on the information given.