What percent of the observations are covered by the whiskers and box in the boxplot? What does that mean for the look of the corresponding histogram?
a → iv
b → ii
c → v
d → i
e → iii
Practice makes perfect
To determine which histogram matches the right boxplot, we have to think about what a boxplot actually shows us.
This means for any boxplot that is skewed to the left or to the right, the corresponding histogram will have more observations to the left or to the right. With this information, we can pair a with iv and e with iii
When the observations are clustered around the median with no outliers, the boxplot will be short. Conversely, when most observations are far away from the median, the boxplot will be stretched. With this information, we can pair b with ii and d with i
With this information, we also know that c should be paired with v. Notice that the observations in this histogram are evenly disbursed. This means the four parts that makes up a boxplot will have about the same length, since they will contain the same amount of observations.
