Mathematics 4024 · O Level · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

A total of 50 adults each sit a quiz. The cumulative frequency diagram plots their scores.
(a)[2]

Use the diagram to work out an estimate of the interquartile range.

(b)[2]

$20\%$ of the adults are awarded a prize for achieving a high quiz score. Use the diagram to calculate the minimum score required to win a prize.

(c)[2]

From the diagram, complete the frequency table for the score intervals $0 < s \le 20$, $20 < s \le 40$, $40 < s \le 60$, $60 < s \le 80$, $80 < s \le 100$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Quartile correctly identified

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