Question

I really need help with this question. Other tutors I’ve asked couldn’t solve itPart A

Answer 1

Step-by-step 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

`Q_1=67`

Also, the interquartile range is 33 years, which means that

`\begin{gathered} Inter-quartile=Q_3-Q_1 \\ 33=Q_3-67 \end{gathered}`

Solving for Q3

`\begin{gathered} \\ Q_3=33+67=100 \end{gathered}`

Next, we can get our median age

Since exactly half is over 42 years then

`Q_2=42`

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