StatisticsExam Tips

Exam Tips for Cumulative Frequency

Part of Cumulative FrequencyGCSE Mathematics

This exam tips covers Exam Tips for Cumulative Frequency within Cumulative Frequency for GCSE Mathematics. Revise Cumulative Frequency in Statistics for GCSE Mathematics with 14 exam-style questions and 20 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 8 of 10 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.

Topic position

Section 8 of 10

Practice

14 questions

Recall

20 flashcards

💡 Exam Tips for Cumulative Frequency

Drawing Cumulative Frequency Curves:

  • Use upper boundaries: Plot against the upper limit of each class interval
  • Start at origin: First point is usually (lowest upper boundary, 0)
  • Smooth curve: Draw a smooth curve through the points (not straight lines)
  • Check totals: Final point should have y-coordinate equal to total frequency
  • Appropriate scale: Use scales that show all data clearly

Reading Values:

  • Horizontal then vertical: Always go horizontally to the curve, then vertically to the axis
  • Estimate carefully: Read values as accurately as possible from the graph
  • Show working: Draw the construction lines clearly on your graph
  • Round sensibly: Round to appropriate precision (usually 1 decimal place)

Keep building this topic

Read this section alongside the surrounding pages in Cumulative Frequency. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Cumulative Frequency

Cumulative frequency is:

  • A. The highest frequency in a table
  • B. The running total of frequencies up to and including each class
  • C. The mean of all frequencies
  • D. The difference between the largest and smallest frequencies
1 markfoundation

The graph shows the times for 60 students. The cumulative frequency at 40 seconds reads as 48. Estimate the number of students who took longer than 40 seconds to complete the puzzle.

2 marksstandard

Quick Recall Flashcards

How do you calculate cumulative frequency?
Start with the first frequency. For each subsequent class, add the current frequency to the previous cumulative frequency: CF₂ = CF₁ + f₂ CF₃ = CF₂ + f₃, and so on.
What is cumulative frequency?
Cumulative frequency is the running total of frequencies up to and including each class. It shows how many data values fall below the upper boundary of each class.

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