Exam-Style Question on Statistics

Question id: 625. This question is similar to one that appeared on an IB AA Standard paper in 2022. The use of a calculator is not allowed.

Data is collected about size in square metres of apartments in a city and the monthly cost of renting them. The size of the apartments is shown in this box and whisker diagram.

(a) Find the largest apartment area that would not be considered an outlier.

The areas in square metres and costs in pounds, denoted by a and c respectively, are plotted as a scatter graph.

The regression line of c on a is \(c = 5a + 130\). The regression line of a on c is \(a=\dfrac{c}{8}+10\).

(b) One of the apartments in the data set costs £680 per month to rent. Estimate the area of that apartment.

The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.

Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.

This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.

A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.

Teacher Subscription Parent Subscription

Dent

Drag this panel down to reveal the solution

If you need more practice try the self-checking interactive exercises called Box Plots.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

The solutions to the questions on this website are only available to those who have a Transum Subscription.

Exam-Style Questions Main Page

To search the entire Transum website use the search box in the grey area below.

Comments:

Do you have any comments about these exam-style questions? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For Teachers:

For All:

Exam-Style Question on Statistics

A mathematics exam-style question with a worked solution that can be revealed gradually

List Of Questions Exam-Style Question More Statistics Questions More on this Topic

Comments: