Question

Use the image to answer the question.

A number line ranges from 2 to 9.5 in increments of 0.5. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 4 to 5.5. The second box extends from 5.5 to 7. A line extends from each end of the box, terminating at 2 on the left and terminating at 9.5 on the right.

For the given box plot, which measure of variability—range or IQR—best represents the shape of the distribution?

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

For the given box plot, the range best represents the shape of the distribution. This is because the range encompasses the full spread of the data from the minimum value to the maximum value, which can be clearly seen on the number line where the lines extending from the boxplot ends are at 2 and 9.5. The IQR (Interquartile Range), which represents the spread of the middle 50% of the data, does not fully capture the range of values shown in the box plot.