IQR, the shape of the distribution is symmetrical, or close to it.
The Interquartile Range (IQR) is most appropriate in this case because the box plot shows that the data is fairly evenly distributed on both sides of the median. This is indicative of a symmetrical or close to symmetrical distribution.
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)
Responses
Range, the shape of the distribution is skewed to the right.
Range, the shape of the distribution is skewed to the right.
IQR, the shape of the distribution is symmetrical, or close to it.
IQR, the shape of the distribution is symmetrical, or close to it.
Range; the shape of the distribution is symmetrical, or close to it.
Range; the shape of the distribution is symmetrical, or close to it.
IQR, the shape of the distribution is skewed to the right.
IQR, the shape of the distribution is skewed to the right.
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