Mathematics 4024 · O Level · Scatter diagrams

Scatter diagrams — practice question

The table lists the distances 10 people travel to work and the times they spend doing so.
(a(i))[2]

Complete the scatter diagram on the grid to represent this information. The first four points are already shown.

(a(ii))[1]

What kind of correlation is shown by the scatter diagram?

(a(iii))[2]

A person is picked at random from these 10 people. Find the probability that this person drove less than $30\text{ km}$ to work. Give your answer as a fraction in simplest form.

(a(iv))[2]

Ateeq travels $48\text{ km}$ to work. By drawing a line of best fit on the scatter diagram, estimate how long Ateeq takes to get to work.

(b(i))[1]

Write down the modal class.

(b(ii))[3]

Calculate an estimate of the mean time.

(b(iii))[2]

Work out the percentage of employees who took more than $1$ hour to travel to work.

Worked solution & mark scheme

This 13-mark question has a full step-by-step worked solution and mark scheme. One marking point: All $6$ points plotted correctly

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI