Use the image to answer the question. For the given box plot, which measure of variability—range or IQR—best represents the shape of the distribution?

Question

Use the image to answer the question. For the given box plot, which measure of variability—range or IQR—best represents the shape of the distribution?

A)IQR, the shape of the distribution is symmetrical, or close to it.
B)IQR, the shape of the distribution is skewed to the right.
C)Range, the shape of the distribution is skewed to the right.
D)Range; the shape of the distribution is symmetrical, or close to it.

Answer 1

C) Range, the shape of the distribution is skewed to the right.

Since the box plot is skewed to the right, the range, which considers the difference between the maximum and minimum values, would be more representative of the spread of the data in this case.