Question

Heights The boxplot shown below results from the heights (cm) of males listed in Data Set 1 “Body Data” in Appendix B. What do the numbers in that boxplot tell us?

Short answer

The boxplot shows the following characteristics of the data:

• The minimum value of the male heights is equal to 155 cm.
• The maximum value of the male heights is equal to 193.3 cm.
• The first quartile is equal to 169.1 cm.
• The median male height is equal to 173.8 cm.
• The third quartile is equal to 179.4 cm.

Step-by-step solution

Given information

A boxplot is plotted for a dataset containing the heights of males in cm.

Interpreting boxplot

Aboxplotis a graphical representation of the five key characteristics of a dataset.

• The boxplot extends from the minimum value of the data to the maximum value.
• The leftmost vertical bar of the box in the center represents the first quartile.
• The middlemost bar represents the median value or the second quartile.
• The rightmost bar of the box in the center represents the third quartile.

Interpretation of the given boxplot

Here, theminimum value denoted by the whisker on the left is equal to 155 cm, and themaximum value denoted by the whisker on the right is equal to 193.3 cm.

The leftmost bar of the box in the middle is thefirst quartile with a value equal to 169.1 cm.

The middle bar of the box is themedian/second quartile with a value equal to 173.8 cm.

The rightmost bar of the box in the center is thethird quartile with a value equal to 179.4