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Cumulative Frequency for Median

Part of Grouped Data — GCSE Mathematics

This diagram covers Cumulative Frequency for Median within Grouped Data for GCSE Mathematics. Revise Grouped Data in Statistics for GCSE Mathematics with 14 exam-style questions and 20 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 7 of 7 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

Topic position

Section 7 of 7

Practice

14 questions

Recall

20 flashcards

Cumulative Frequency for Median

Height (cm) Frequency Cumulative Frequency
150 ≤ h < 160 5 5
160 ≤ h < 170 12 17
170 ≤ h < 180 15 32
180 ≤ h < 190 8 40
190 ≤ h < 200 3 43

Median position = (43 + 1) ÷ 2 = 22nd value
The 22nd value is in the 170 ≤ h < 180 class (highlighted)

Keep building this topic

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

Different Types of Class IntervalsMaking Sense of Large DatasetsKey Facts About Grouped Data

Practice Questions for Grouped Data

A frequency table uses the class intervals shown below. | Speed, s (mph) | Frequency | |---|---| | 0 < s ≤ 20 | 4 | | 20 < s ≤ 40 | 11 | | 40 < s ≤ 60 | 9 | | 60 < s ≤ 80 | 2 | A car travels at exactly 40 mph. Which class interval does this value belong to?

  • A. 20 < s ≤ 40
  • B. 0 < s ≤ 20
  • C. 40 < s ≤ 60
  • D. It could belong to either 20 < s ≤ 40 or 40 < s ≤ 60
1 markfoundation

A teacher groups 30 students' test scores into four class intervals and calculates the estimated mean and estimated median. Explain why both the estimated mean and the estimated median from grouped data are only approximations of the true values. In your answer, refer to the assumptions made.

3 marksstandard

Quick Recall Flashcards

What is class width?
Class width is the size of each class interval. For '10 ≤ x < 20', the class width is 20 - 10 = 10. Equal class widths make data easier to analyze.
What is grouped data?
Grouped data is when individual data values are organized into classes or intervals. For example, heights might be grouped as 150-160cm, 160-170cm, etc.

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Different Types of Class Intervals

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Grouped Data