Question

in interpreting a boxplot of a data set we note that the median is to the left of the center of the box and the right line is longer than the left line. what can be concluded about the data set?

a. the data is skewed left.
b. the data is skewed right.
c. the data is symmetric.
d. skewness or symmetry cannot be determined by a box plot.

Explanation:

When the median is to the left of the center of the box and the right line (whisker) is longer than the left line in a box - plot, it indicates that there are more data points on the right side (higher values) pulling the distribution. This is a characteristic of a right - skewed distribution. In a left - skewed distribution, the median would be to the right of the center of the box and the left whisker would be longer. In a symmetric distribution, the median is at the center of the box and the whiskers are approximately equal in length.

Answer:

B. The data is skewed right.