CAIE IGCSE Mathematics Extended E9.6 Cumulative Frequency Diagrams Question Bank

Practise building cumulative totals, plotting upper class boundaries and reading quantiles or threshold counts from a smooth curve.

Syllabus
2028–2030
Topic
E9.6
Level
Extended

Exam points

  • accumulate class frequencies and plot each total at its upper class boundary
  • draw a smooth increasing curve through clearly marked plotted points
  • read quantiles or counts above a threshold using horizontal and vertical guides

Covered syllabus points

E9.6.1 Draw and interpret cumulative frequency tables and diagrams.E9.6.2 Estimate and interpret the median, percentiles, quartiles and

E9.6 Cumulative frequency diagrams question 1

[Maximum number: 3]

Question (a)

(a)

200 students estimate the volume, V m3V \mathrm{~m}^{3}, of a classroom. The cumulative frequency diagram shows their results.

Figure for Question (a) — CAIE IGCSE Mathematics Extended

Use the graph to find an estimate of

[ 3 ]

Question (i)

(i)

the 60th percentile,

___ m^3

[ 1 ]

Question (ii)

(ii)

the number of students who estimate that the volume is greater than 300 m3300 \mathrm{~m}^{3}.

[ 2 ]
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