CAIE IGCSE Mathematics Extended Quartiles Range and IQR

Practise calculating averages, quartiles, range and interquartile range from individual values, discrete frequencies and five-number summaries.

Syllabus
2028–2030
Objective
E9.3.1
Level
Extended

Exam points

  • calculate the mean of discrete data with a value-by-frequency total divided by total frequency
  • locate lower quartile, median and upper quartile positions from ordered values or frequencies
  • subtract minimum from maximum for the range and lower quartile from upper quartile for the IQR

E9.3.1 Calculate the mean, median, mode, quartiles, range and interquartile question 1

[Maximum number: 2]

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

Figure for Question E9.3.1 Calculate the mean, median, mode, quartiles, range and interquartile question 1 — CAIE IGCSE Mathematics Extended

Use the graph to find an estimate of

the interquartile range,

___ m^3

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