StatisticsDeep Dive

Grouped Frequency Tables

Part of Frequency TablesGCSE Mathematics

This deep dive covers Grouped Frequency Tables within Frequency Tables for GCSE Mathematics. Revise Frequency Tables in Statistics for GCSE Mathematics with 11 exam-style questions and 20 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 4 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 7

Practice

11 questions

Recall

20 flashcards

Grouped Frequency Tables

When to Use Grouped Data

Use grouped frequency tables when:

  • Data has a wide range of values
  • Continuous data (like heights, weights)
  • You want to see patterns more clearly
  • Individual values would make a very long table

Creating Grouped Frequency Tables

Example: Test scores of 30 students (out of 100)

45, 67, 72, 58, 63, 81, 56, 74, 68, 59, 77, 82, 54, 71, 66, 78, 83, 62, 69, 75, 57, 73, 64, 79, 85, 61, 76, 70, 65, 80

Score Range Frequency
40 ≤ s < 50 1
50 ≤ s < 60 5
60 ≤ s < 70 9
70 ≤ s < 80 8
80 ≤ s < 90 7
Total 30

Key observations:

  • Modal class: 60 ≤ s < 70 (highest frequency = 9)
  • Class width = 10 marks for all classes
  • Most students scored between 60-80 marks

Keep building this topic

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

Practice Questions for Frequency Tables

The table below shows the number of books read by students in a month: | Books read | Frequency | |---|---| | 0 | 4 | | 1 | 7 | | 2 | 11 | | 3 | 6 | | 4 | 2 | What is the mode?

  • A. 11
  • B. 2
  • C. 7
  • D. 3
1 markfoundation

Explain why the mean calculated from a grouped frequency table is described as an 'estimate' rather than an exact value.

2 markshigher

Quick Recall Flashcards

What is class width?
Class width is the size of each interval in a grouped frequency table. Example: In 10-19, 20-29, 30-39 Class width = 10
What is frequency?
Frequency is the number of times each value or category appears in a dataset. It shows how often something occurs.

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