Question

consider the horizontal box - plot shown to the right.
d. is the data set skewed to the left, skewed to the right, or symmetric?
a. the data is skewed right.
b. the data is symmetric.
c. the data is skewed left.
d. there is insufficient information to determine the shape of the data.
e. what percentage of the measurements in the data set lie to the right of the median?

Explanation:

Step1: Recall box - plot properties

In a box - plot, if the left whisker is shorter than the right whisker and the median is closer to the first quartile (Q1), the data is skewed right. If the right whisker is shorter than the left whisker and the median is closer to the third quartile (Q3), the data is skewed left. If the whiskers are approximately of equal length and the median is in the middle of the box, the data is symmetric. Looking at the given box - plot, the right whisker is longer than the left whisker and the median is closer to Q1, so the data is skewed right.

Step2: Recall percentage of data on either side of the median

By definition, in any data - set, 50% of the data lies to the left of the median and 50% of the data lies to the right of the median.

Answer:

d. A. The data is skewed right.
e. 50%