Mathematics 0580 · IGCSE · Cumulative frequency diagrams

Cumulative frequency diagrams — practice question

The table gives data on the heights of $80$ children.
(a(i))[1]

Write down the interval that contains the median.

(a(ii))[4]

Calculate an estimate of the mean height.

(b(i))[1]

Calculate the probability that they have a height of $1.4\text{ m}$ or less.

(b(ii))[3]

Calculate the probability that both children are taller than $1.5\text{ m}$ but only one of them is taller than $1.8\text{ m}$.

(c(i))[2]

Complete the cumulative frequency table for the heights.

(c(ii))[3]

On the grid, draw the cumulative frequency diagram.

(d(i))[2]

Find an estimate of the interquartile range.

(d(ii))[2]

Find an estimate of the $60$th percentile.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct inequality

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