A cumulative frequency table for marks: ≤ 20 → 5, ≤ 40 → 18, ≤ 60 → 32, ≤ 80 → 47, ≤ 100 → 50. What is the total number of students?
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Practise IGCSE 0580 questions in the style of recent Extended past papers, organised by syllabus subtopic. Each set comes with an examiner-style mark scheme and a downloadable worksheet.
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Construct and interpret cumulative frequency diagrams; estimate the median, quartiles and interquartile range from the diagram.
A cumulative frequency table for marks: ≤ 20 → 5, ≤ 40 → 18, ≤ 60 → 32, ≤ 80 → 47, ≤ 100 → 50. What is the total number of students?
A frequency table has classes with frequencies 4, 7, 10, 5. Find the cumulative frequency at the end of the third class.
[1 mark]A cumulative frequency graph of test scores for 80 students passes through the points (40, 20), (50, 40), (60, 60), (70, 75).
Find an estimate of the MEDIAN score.
[1 mark]How many students scored MORE than 60?
[1 mark]From a cumulative frequency graph for 100 students: lower quartile (LQ) = 42, upper quartile (UQ) = 73. Find the interquartile range (IQR).
[2 marks]For a cumulative frequency graph of 200 measurements, the LQ is found at which cumulative frequency value?
A cumulative frequency curve for the times (in minutes) of 200 commuters' journeys gives: at cf = 50, time = 28 min; at cf = 100, time = 35 min; at cf = 150, time = 42 min; at cf = 180, time = 50 min.
Find an estimate for the interquartile range.
[2 marks]Estimate the number of commuters whose journey took more than 50 minutes.
[1 mark]A cumulative frequency graph of weights (kg) of 60 parcels gives cf = 45 at 8 kg. The pass criterion is 'weight ≤ 8 kg'. What percentage of parcels passes?
[2 marks]A cumulative frequency curve of 120 students' marks is symmetric about its median of 55. The IQR is 24. Without seeing the graph, state the LQ and the UQ.
[2 marks]