Explanation
For the given question, we are asked to represent the given information on a box- plot
We have
So we will have to compute some parameters
First, 25% of the population is over 67 years, then we have
[tex]Q_1=67[/tex]
Also, the interquartile range is 33 years, which means that
[tex]\begin{gathered} Inter-quartile=Q_3-Q_1 \\ 33=Q_3-67 \end{gathered}[/tex]
Solving for Q3
[tex]\begin{gathered} \\ Q_3=33+67=100 \end{gathered}[/tex]
Next, we can get our median age
Since exactly half is over 42 years then
[tex]Q_2=42[/tex]
So we can have the sketch as given below
For part B
we only have the age range which is the difference between the maximum and minimum value
But it is not enough to know the range
Because from the data given, we do not have either the maximum or minimum age of the population
Therefore, the above facts are not sufficient
