Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The value of $t$ in minutes for each of 80 people travelling to work has been noted. The table gives the details of these times.
(a(i))[1]

State the class interval that contains the median time.

(a(ii))[4]

Calculate a mean-time estimate.

(b(i))[2]

Determine the probability that this person spent more than 10 minutes travelling to work. Give your answer as a fraction in simplest form.

(b(ii))[3]

Calculate the probability that one of these people took 5 minutes or less and the other took more than 5 minutes.

(c(i))[1]

Finish the cumulative frequency table.

(c(ii))[3]

Use the grid to draw a cumulative frequency graph to represent this information.

(c(iii))[2]

Find an estimate for the 80th percentile.

(c(iv))[3]

Find an estimate for the percentage of people who spent more than 45 minutes travelling to work. Show all your working.

Worked solution & mark scheme

This 19-mark question has a full step-by-step worked solution and mark scheme. One marking point: $20 < t \le 35$

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