Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The cumulative frequency diagram gives data on the distance, $d$ km, covered by each of 60 male cyclists over one weekend.
(a(i))[1]

Use the cumulative frequency diagram to obtain an estimate of the median.

(a(ii))[1]

Use the cumulative frequency diagram to obtain an estimate of the lower quartile.

(a(iii))[1]

Use the cumulative frequency diagram to obtain an estimate of the interquartile range.

(b)[1]

Make one statement comparing the distribution of the distances covered by the males with that of the females.

(c)[2]

Find the probability that he travelled more than 50 km.

(d(i))[2]

Use the cumulative frequency diagram to fill in this frequency table.

(d(ii))[4]

Calculate an estimated mean distance travelled.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: 52

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