Question

use the side - by - side boxplots shown to complete parts (a) through (e).
symmetric - the median is the center of the box and the left and right whiskers are about the same length.
skewed left - the median is left of center in the box and the left whisker is longer than the right whisker.
skewed right - the median is right of center in the box and the left whisker is shorter than the right whisker.
(e) describe the shape of the variable y. support your position. choose the correct answer below.
a. there is not enough information to determine the shape of the variable y.
b. skewed right - the median is left of center in the box and the left whisker is shorter than the right whisker.
c. symmetric - the median is the center of the box and the left and right whiskers are about the same length.
d. skewed left - the median is right of center in the box and the left whisker is longer than the right whisker.

Explanation:

For a box - plot, if the median is the center of the box and the left and right whiskers are about the same length, the distribution is symmetric. If the median is left of center in the box and the left whisker is shorter than the right whisker, the distribution is skewed right. If the median is right of center in the box and the left whisker is longer than the right whisker, the distribution is skewed left.

Looking at the box - plot for variable \(y\):

• The median is left of center in the box.
• The left whisker is shorter than the right whisker.

Answer:

B. Skewed right—the median is left of center in the box and the left whisker is shorter than the right whisker.