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Grouped Data

Revise Grouped Data in Statistics for GCSE Mathematics with 14 exam-style questions and 20 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

Study this topic

1

Making Sense of Large Datasets

Introduction2

Key Facts About Grouped Data

Key Facts3

Grouped Frequency Table Example

Diagram4

Calculating Averages from Grouped Data

Deep Dive5

Exam Tips for Grouped Data

Exam Tips6

Different Types of Class Intervals

Deep Dive7

Cumulative Frequency for Median

Diagram

Sample 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.

Sample Questions

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

14

exam-style questions

20

revision flashcards

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